Articles

2025

Modelling oxy-combustion dynamics in rotary kilns for sustainable silicon production: A Case Study from the SisAl Project
J.L. Ferrín, D. Gómez, I. Martínez, L.J. Pérez-Pérez, L. Rey
Case Studies in Thermal Engineering, vol. 70, 2025

Multiphysics simulation of slag melting in an induction furnace for sustainable silicon production
A. Bermúdez, O. Crego, J.L. Ferrín, B. García, D. Gómez, I. Martínez, L.J. Pérez-Pérez, P. Salgado
Applied Mathematical Modelling, vol. 145, 2025

Finite element method for a nonlinear magnetostatic mroblem in terms of scalar potentials
R. Muñoz-Sola, P. Salgado
Numerical Methods for Partial Differential Equations, 2025

Tree–cotree-based tearing and interconnecting for 3D magnetostatics: A dual–primal approach
M. Mally, B. Kapidani, M. Merkel, S. Schöps, R. Vázquez
Computer Methods in Applied Mechanics and Engineering, vol. 437, 2025

An analytical 1D model for computing low-frequency electromagnetic fields in material layers: Application to metallurgical furnaces
M. Fromreide, D. Gómez, S. A. Halvorsen, P. Salgado
Applied Mathematical Modelling, vol.  139, 2025

An all Mach number semi-implicit hybrid finite volume/virtual element method for compressible viscous flows on Voronoi meshes
W. Boscheri, S. Busto, M. Dumbser
Computer Methods in Applied Mechanics and Engineering, vol. 433, 2025

Analysis of difference schemes for the Fokker–Planck angular diffusion operator
O. López-Pouso, J. Segura
Computers and Mathematics with Applications, vol. 181, pp. 84-110, 2025 

Semi-implicit hybrid finite volume/finite element method for the GPR model of continuum mechanics
S. Busto, L. Río-Martín
Journal of Scientific Computing, vol. 102 (2), 2025 

Separation time of aluminothermic reduction products for sustainable silicon production
J. Bullón, O. Crego, J.L. Ferrín, D. Gómez, I. Martínez, L. J. Pérez-Pérez
Open Research Europe, vol. 4, 2025

A simple method for automatic recreation of railway horizontal alignments
G. Casal, A. Castro, D.  Santamarina, M.E.  Vázquez-Méndez
Railway Engineering Science, 2025

2024

A geometric-identification–free mathematical model for recreating nonsymmetric horizontal railway alignments
G. Casal, A. Castro, D.  Santamarina, M.E.  Vázquez-Méndez
Computer-Aided Civil and Infrastructure Engineering, vol. 39 (19), pp. 2917-2934, 2024

A mathematical tool for road design projects
P. Blanco-Valcarcel, G. Casal, A. Castro, D.  Santamarina, M.E.  Vázquez-Méndez
Engineering Optimization, vol. 56 (12), pp. 2190-2212, 2024

An in-silico study of conventional and FLASH radiotherapy iso-effectiveness: potential impact of radiolytic oxygen depletion on tumor growth curves and tumor control probability
González-Crespo, F. Gómez, O. López Pouso, J. Pardo-Montero
Physics in medicine and biology, vol. 69 (21), 2024

A new class of simple, general and efficient finite volume schemes for overdetermined thermodynamically compatible hyperbolic systems
S. Busto, M. Dumbser
Communications on Applied Mathematics and Computation, vol. 6 (3), pp. 1742-1778, 2024

Adaptive methods with C1 splines for multi-patch surfaces and shells.
C. Bracco, A. Farahat, C. Giannelli, M. Kapl, R. Vázquez
Computer Methods in Applied Mechanics and Engineering, vol. 431, 2024

Arbitrary order spline representation of cohomology generators for isogeometric analysis of eddy current problems
B. Kapidani, M. Merkel, S. Schöps, R. Vázquez
Advances in Computational Mathematics, vol. 50 (5), 2024

A coupled steady thermo-electromagnetic problem in axisymmetric geometries.
D. Gómez, B. López-Rodríguez, P. Salgado, P. Venegas
IMA Journal of Numerical Analysis, 2024

Mathematical perspective on XFEM implementation for models involving contribution on interfaces
M.T. Cao-Rial, C. Moreno, P. Quintela
Mathematics and Computers in Simulation, vol. 218, pp. 266-291, 2024

A divergence-free hybrid finite volume / finite element scheme for the incompressible MHD equations based on compatible finite element spaces with a posteriori limiting
S. Busto, M. Dumbser, E. Zampa
Applied Numerical Mathematics, vol. 198, pp. 346-374, 2024

A Lagrangian approach for solving an axisymmetric thermo-electromagnetic problem. Application to time-varying geometry processes
M. Benítez, A. Bermúdez, P. Fontán, I. Martínez, P. Salgado
Advances in Computational Mathematics, vol. 50, 2024

Transient mathematical modelling of a gas rotary furnace for melting slag
O. Crego, J.L. Ferrín, D. Gómez, L.J. Pérez-Pérez, P. Salgado
Applied Thermal Engineering, vol. 246, 2024

Numerical simulation of resistance furnaces by using distributed and lumped models
A. Bermúdez, D. Gómez, D. González-Peñas
Advances in Computational Mathematics, vol. 50, 2024

2023

Stochastic control with state constraints via the Fokker–Planck equation. Application to renewable energy plants with batteries
A. Bermúdez, I. Padín
Comptes Rendus Mécanique, pp. 1-22, 2023

Transient 3D hydrodynamic model of a blast furnace main trough
P. Barral, L. J. Pérez-Pérez, P. Quintela
Engineering Applications of Computational Fluid Mechanics, vol. 17 (1), 2023

Interactions between hosts affect virus competition mechanism within an infectious strain
J. López-Pedrares, A.P. Muñuzuri, M.E. Vázquez-Cendón.
Chaos, Solitons and Fractals, vol. 170, 2023

Numerical simulation of bed load and suspended load sediment transport using well-balanced numerical schemes
J. Alavez-Ramírez, J.C. González-Aguirre, J.A. González-Vázquez, R. Silva, M.E. Vázquez-Cendón.
Communications on Applied Mathematics and Computation, vol. 5 (2), pp. 885-922, 2023

Adding and doubling solution to the 1D Fokker-Planck equation
B. Ganapol, O. López-Pouso.
Physics & Astronomy International Journal, vol. 7 (3), pp. 170-173, 2023

Response matrix/discrete ordinates solution of the 1D Fokker-Planck equation
B. Ganapol, O. López-Pouso.
Nuclear Science and Engineering, vol. 197(9), pp. 2327-2342, 2023

A biomathematical model of tumor response to radioimmunotherapy with αPDL1 and αCTL4
I. González-Crespo, A. Gómez-Caamaño, O. López-Pouso, J. Pardo.
IEEE/ACM Transactions on Computational Biology and Bioinformatics, vol. 20 (2), pp. 808-821, 2023

Numerical analysis of a FEM based on a time-primitive of the electric field for solving nonlinear transient eddy current problem
R. Acevedo, C. Gómez, B. López-Rodríguez, P. Salgado
Applied Numerical Mathematics, 2023

An automatic method for generating multiple alignment alternatives for a railway bypass
G. Casal, A. Castro, D. Santamarina, M. E. Vázquez-Méndez
Computers & Operations Research, vol. 154, 2023

Induced currents in the lining and steel shell of submerged arc furnaces
M. Fromreide, D. Gómez, S. A. Halvorsen, P. Salgado
Journal of Sustainable Metallurgy, vol. 9, pp. 375-385, 2023

Novel methodologies for solving the inverse unsteady heat transfer problem of estimating the boundary heat flux in continuous casting molds
P. Barral, U.E. Morelli, G. Rozza, P. Quintela, G. Stabile
International Journal for Numerical Methods in Engineering, vol. 124 (6), pp. 1344-1380, 2023

A new thermodynamically compatible finite volume scheme for magnetohydrodynamics
S. Busto, M. Dumbser
SIAM Journal on Numerical Analysis, vol. 61 (1), pp. 343-364, 2023

A semi-implicit finite volume scheme for blood flow in elastic and viscoelastic vessels
A. Lucca, S. Busto, L.O. Müller, L.O. E.F. Toro, M. Dumbser
Journal of Computational Physics, vol. 495, 2023

A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics
R. Abgrall, S. Busto, M. Dumbser
Applied Mathematics and Computation, vol. 440, 2023

A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations
F. Fambri, E. Zampa, S. Busto, L. Río-Martín, F. Hindenlang, E. Sonnendrücker, M. Dumbser
Journal of Computational Physics, vol. 493, 2023

An Arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element method on moving unstructured meshes for the Navier-Stokes equations
S. Busto, M. Dumbser. L. Río-Martín
Applied Mathematics and Computation, vol. 437, 2023

An implicit staggered hybrid finite volume/finite element solver for the incompressible Navier-Stokes equations
A. Lucca, S. Busto, M. Dumbser
East Asian Journal on Applied Mathematics, vol. 13 (3), pp. 671-716, 2023

2022

A biomathematical model of tumor response to radioimmunotherapy with PDL1 and CTL4
I. González-Crespo, A. Gómez-Caamaño, Ó. López-Pouso, J.D. Fenwick, J. Pardo-Montero
IEEE/ACM Transactions on Computational Biology and Bioinformatics, 2022

Finite element based Model Order Reduction for parametrized one-way coupled steady state linear thermo-mechanical problems
N. Vasant, M. Girfoglio, P. Quintela, G. Rozza, A. Lengomin, F. Ballarin, P. Barral
Finite Elements in Analysis and Design, vol. 212, 2022

Kalman filter and classical Preisach hysteresis model applied to the state of charge battery estimation
P. Venegas, D. Gómez, M. Arrinda, M. Oyarbide, H. Macicior, A. Bermúdez
Computers & Mathematics with Applications, vol. 118, pp. 74-84, 2022

Numerical simulation of gas composition tracking in a gas transportation network
A. Bermúdez, M. Shabani
Energy, vol. 247, 2022

Numerical solution of an axisymmetric eddy current model with current and voltage excitations
A. Bermúdez, B. López-Rodríguez, F.J. Pena, R. Rodríguez, P. Salgado, P. Venegas
Journal of Scientific Computing, vol. 91, 2022

Transient thermal response with nonlocal radiation of a blast furnace main trough
P. Barral, L.J. Pérez-Pérez, P. Quintela
Applied Mathematical Modelling, vol. 105, pp. 197-225, 2022

Numerical simulation of the transient heat transfer in a blast furnace main trough during its complete campaign cycle
P. Barral, L.J. Pérez-Pérez, P. Quintela
International Journal of Thermal Sciences, vol. 173, 2022

Upwind finite element-PML approximation of a novel linear potential model for free surface flows produced by a floating rigid body
A. Bermúdez, O. Crego, A. Prieto
Applied Mathematical Modelling, vol. 103, pp. 824-853, 2022

A new family of thermodynamically compatible discontinuous Galerkin methods for continuum mechanics and turbulent shallow water flows
S. Busto M. Dumbser
Journal of Scientific Computing, vol. 93 (2), 2022

2021

Numerical simulation of the shear stress produced by the hot metal jet on the blast furnace runner
P. Barral, B. Nicolás, P. Quintela
Computers & Mathematics with Applications, vol. 102, pp. 146-159, 2021

A numerical approach for heat flux estimation in thin slabs continuous casting molds using data assimilation
P. Barral, U.E. Morelli, G. Rozza, P. Quintela, G. Stabile
International Journal for Numerical Methods in Engineering, 2021

A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes
S. Busto, L. Río-Martín, M.E. Vázquez-Cendón, M. Dumbser
Applied Mathematics and Computation, vol. 402, 2021

Numerical solution of the azimuth-dependent Fokker-Planck equation in 1D slab geometry
O. López-Pouso, N. Jumaniyazov
Journal of Computational and Theoretical Transport, vol. 50, pp. 102-133, 2021

Optimization of a refinery scheduling process with column generation and a quantum annealer
J. Ossorio-Castillo, F. Pena
Optimization and Engineering, 2021

Reduced 2D/1D mathematical models for analyzing inductive effects in submerged arc furnaces
M. Fromreide, D. Gómez, S. A. Halvorsen, E. Herland, P. Salgado
Applied Mathematical Modelling, vol. 98, pp. 59-70, 2021

An algorithm for random generation of admissible horizontal alignments for optimum layout design
M. E. Vázquez‐Méndez, G. Casal, A. Castro, D. Santamarina
Computer-Aided Civil and Infrastructure Engineering, 2021

Numerical analysis of a method for solving 2D linear isotropic elastodynamics with traction free boundary condition using potentials and finite elements
J. Albella, S. Imperiale, P. Joly
Mathematics of Computation, vol. 90 (330), pp. 1589-1636, 2021

Optimization of an urban railway bypass. A case study in A Coruña-Lugo line, Northwest of Spain
M. E. Vázquez-Méndez, G. Casal, A. Castro, D. Santamarina
Computers & Industrial Engineering, vol. 151, 2021

Direct versus iterative methods for forward-backward diffusion equations. Numerical comparisons
O. López-Pouso, N. Jumaniyazov
SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, 2021

Modelling compressors, resistors and valves in finite element simulation of gas transmission networks
A. Bermúdez, M. Shabani
Applied Mathematical Modelling, vol. 89 (2), pp. 1316-1340, 2021

Staggered semi-implicit hybrid finite volume / finite element schemes for turbulent and non-Newtonian flows
S. Busto, M. Dumbser, L. Río-Martín
Mathematics, vol. 9 (22), 2021

A massively parallel hybrid finite volume/finite element scheme for computational fluid dynamics
S. Busto, M. Dumbser, L. Río-Martín
Mathematics, vol. 9 (18), 2021

2020

Determination of Young modulus by using Rayleigh waves
M. T. Cao-Rial, C. Moreno, P. Quintela
Applied Mathematical Modelling, vol. 77 (1), 2020

Non-Eulerian Newmark Methods: A powerful tool for free-boundary continuum mechanics problems
M. Benítez, A. Bermúdez, P. Fontán
Journal of Scientific Computing, vol. 83 (44), 2020

Numerical analysis of a penalty approach for the solution of a transient eddy current problem
A. Bermúdez, B. López-Rodríguez, R. Rodríguez, P. Salgado
Computers & Mathematics with Applications, vol. 79 (9), pp. 2503-2526, 2020

Mathematical analysis and numerical solution of models with dynamic Preisach hysteresis
A. Bermúdez, D. Gómez, P. Venegas
Journal of Computational and Applied Mathematics, vol. 367 (15), 2020

A novel numerical method for accelerating the computation of the steady-state in induction machines
A. Bermúdez, D. Gómez, M. Piñeiro, P. Salgado
Computers & Mathematics with Applications, vol. 79 (2), pp. 274-292, 2020

POD–Galerkin reduced order methods for combined Navier–Stokes transport equations based on a hybrid FV-FE solver
S. Busto, G. Stabile, G. Rozza, M.E. Vázquez-Cendón
Computers & Mathematics with Applications, vol. 79 (2), pp. 256-273, 2020

A mathematical model of dynamics of cell populations in squamous epithelium after irradiation
M. Parga Pazos, Ó. López Pouso, J. D. Fenwick, J. Pardo Montero
International Journal of Radiation Biology, vol. 96 (9), pp. 1165-1172, 2020

A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows
A. Bermúdez, S. Busto, M. Dumbser, J.L. Ferrín, L. Saavedra, M.E. Vázquez-Cendón
Journal of Computational Physics, vol. 421, 2020

Numerical simulation of natural convection and boil-off in a small size pressurized LNG storage tank
J.L. Ferrín, L.J. Pérez-Pérez
Computers & Chemical Engineering, vol. 138, 2020

2019

Mathematical and numerical study of transient wave scattering by obstacles with a new class of Arlequin coupling
J. J. Albella, H. Ben Dhia, S. Imperiale, J. Rodriguez
SIAM Journal on Numerical Analysis, vol. 57 (5), pp. 2436-2468, 2019

Mathematical analysis of a parabolic-elliptic problem with moving parabolic subdomain through a Lagrangian approach
R. Muñoz-Sola
Journal of Mathematica Analysis and Applications, vol. 477 (1), pp. 357-379, 2019

Finite element solution of a new formulation for gas flow in a pipe with source terms
M. Behbahani-Nejadab, A. Bermúdez, M. Shabani
Journal of Natural Gas Science and Engineering, vol. 61, pp. 237-250, 2019

Finite element solution of isothermal gas flow in a network
A. Bermúdez, M. Shabani
Journal of Computational Physics, vol. 396 (1), pp. 616-652, 2019

Numerical solution of a transient three-dimensional eddy current model with moving conductors
A. Bermúdez, B. López-Rodríguez, R. Rodríguez, P. Salgado
International Journal of Numerical Analysis and Modeling, vol. 16 (5), pp. 695-717, 2019

Mathematical modelling and numerical simulation of the heat transfer in a trough of a blast furnace
S. Vázquez-Fernández, A. García-Lengomín Pieiga, C. Lausín-Gónzalez, P. Quintela
International Journal of Thermal Sciences, vol. 139, pp. 365-374, 2019

A model of indirect cell death caused by tumor vascular damage after high-dose radiotherapy
A. Gómez, J. Guiu, Ó. López-Pouso, P. Rodríguez
Cancer Research, vol. 79 (23), 2019

2018

A second-order linear Newmark method for Lagrangian Navier-Stokes equations
M. Benítez, A. Bermúdez, P. Fontán
Recent advances in PDEs: analysis, numerics and control, pp. 33–59, 2018

Finite volume methods for multi-component Euler equations with source terms (Reprinted from Computers and Fluids vol 156, pg 113-134, 2017)
A. Bermúdez, X. López, M. E. Vázquez-Cendón
Computers & Fluids, vol. 169, pp. 40-61, 2018

Adaptive biokinetic modelling of iodine-131 in thyroid cancer treatments: implications on individualized internal dosimetry
J. Guiu, S. Neira, M. Sánchez-García, O. López-Pouso, M. Pombar, J. Pardo
Journal of Radiological Protection, vol. 38 (4), pp. 1501-1511, 2018

A 3D model for optimizing infrastructure costs in road design
M.E. Vázquez-Méndez, G. Casal, D. Santamarina, A. Castro
Computer-aided Civil and Infrastructure Engineering, vol. 33 (5), pp. 423-439, 2018

Solving 2D linear isotropic elastodynamics by means of scalar potentials: A new challenge for finite elements
J. Albella, S. Imperiale, P. Joly, J. Rodríguez
Journal of Scientific Computing, vol. 77 (3), pp. 1832-1873, 2018

Mathematical and numerical analysis of a transient magnetic model with voltage drop excitations
A. Bermúdez, M. Piñeiro, P. Salgado
Computers & Mathematics with Applications, vol. 76 (11-12), pp. 2710-2727, 2018

A projection hybrid high order finite volume/finite element method for incompressible turbulent flows
S. Busto, J. L. Ferrín, E. F. Toro, M. E. Vázquez-Cendón
Journal of Computational Physics, vol. 353, pp. 169-192, 2018

2017

A two-step model identification for stirred tank reactors: Incremental and integral methods
A. Bermúdez, E. Carrizosa, Ó. Crego, N. Esteban, J. F. Rodríguez-Calo
Computational Mathematics, Numerical Analysis and Applications, pp. 213-220, 2017

A local regularity result for Neumann parabolic problems with nonsmooth data
A. Martínez, R. Muñoz-Sola, M. E. Vázquez-Méndez, L. J. Álvarez-Vázquez
Indigationes Mathematicae-New Series, vol. 28 (2), pp. 494-515, 2017

Mathematical aspects of variational boundary integral equations for time dependent wave propagation
P. Joly, J. Rodríguez
Journal of Integral Equations and Applications, vol. 29 (1), pp. 137-187, 2017

Optimization of horizontal alignment geometry in road design and reconstruction
G. Casal, D. Santamarina, M.E. Vázquez-Méndez
Transportation Research Part-C Emerging Technologies, vol. 74, pp. 261-274, 2017

Extended formulas to compute resultant and contact electromagnetic force and torque from Maxwell stress tensors
A. Bermúdez, A. L. Rodríguez, I. Villar
IEE Transactions on Magnetics, vol. 53 (4), 2017

Existence of solution to a model for gas transportation networks on non-flat topography
A. Bermúdez, J. González-Díaz, F. J. González-Diéguez
Nonlinear Analysis: Real World Applications, vol. 37, pp. 71-93, 2017

Adjoint method for parameter identification problems in models of stirred tank chemical reactors
M. Benítez, A. Bermúdez, J. F. Rodríguez-Calo
Chemical Engineering Research and Design, vol. 123, pp. 214-229, 2017

Identification problem in plug-flow chemical reactors using the adjoint method
A. Bermúdez, N. Esteban, J.L. Ferrín, J.F. Rodríguez-Calo, M.R. Sillero-Denamiel
Computers and Chemical Engineering, vol. 98, pp. 80-88, 2017

Numerical simulation of magnetization and demagnetization processes
A. Bermúdez , D. Gómez , M. Piñeiro, P. Salgado , P. Venegas
IEEE Transactions on Magnetics, vol. 53 (12), 2017

Analysis of an ungauged T, Φ-Φ formulation of the eddy current problem with currents and voltage excitations
A. Bermúdez, P. Piñeiro, R. Rodríguez, P. Salgado
ESAIM – Mathematical Modelling and Numerical Analysis (M2AN), vol. 51, pp. 2487-2509, 2017

Finite volume methods for multi-component Euler equations with source terms
A. Bermúdez, X. López, M. E. Vázquez-Cendón
Computers & Fluids, vol. 156, pp. 113-134, 2017

Treating network junctions in finite volume solution of transient gas flow models
A. Bermúdez, X. López, M. E. Vázquez-Cendón
Journal of Computational Physics, vol. 344, pp. 187–209, 2017

On the exact solution of the Riemann problem for blood flow in human veins, including collapse
C. Spiller, E.F. Toro, M.E. Vázquez-Cendón, C. Contarino
Applied Mathematics and Computation, vol. 303, pp. 178–189, 2017

Electromagnetic computations with Preisach hysteresis model
A. Bermúdez, L. Dupré, D. Gómez, P. Venegas
Finite Elements in Analysis and Design, vol. 126, pp. 65–74, 2017

2016

A new methodology for element partition and integration procedures for XFEM
M.T. Cao, C. Moreno, P. Quintela
Finite Elements in Analysis and Design, vol. 113, pp. 1-13, 2016

Numerical experiments with the Fokker-Planck equation in 1D slab geometry
N. Jumaniyazov, O. López-Pouso
Journal of Computational and Theoretical Transport, vol. 45 (3), pp. 184-201, 2016

A transient eddy current problem in a moving domain. Numerical analysis
A. Bermúdez, R. Muñoz-Sola, C. Reales, R. Rodríguez, P. Salgado
Advances in Computational Mathematics, vol. 42 (4), pp. 757-789, 2016

Gas transmission networks in Europe: Connections between different entry-exit tariff methodologies
A. Bermúdez, J. González-Díaz, F. J. González-Diéguez, A. González-Rueda
Applied Energy, vol. 177, pp. 839-851, 2016

Simulación numérica de inundaciones en Villahermosa México usando el código IBER
J. C. González-Aguirre, M. E. Vázquez-Cendón, J. Alavez-Ramírez
Ingeniería del Agua, vol. 20 (4), pp. 201-216, 2016

Design and analysis of ADER-type schemes for model advection–diffusion–reaction equations
S. Busto, E. F. Toro, M. E. Vázquez-Cendón
Journal of Computational Physics, vol. 327, pp. 553–575, 2016

Numerical solution of non-isothermal non-adiabatic flow of real gases in pipelines
A. Bermúdez, X. López, M. E. Vázquez-Cendón
Journal of Computational Physics, vol. 323, pp. 126-148, 2016

Regularity of a thermoelastic problem with variable parameters
P. Barral, M.C. Naya-Riveiro, P. Quintela
European Journal of Applied Mathematics, vol. 27 (2), pp. 213-232, 2016

2015

A dynamic viscoelastic contact problem with normal compliance
J. R. Fernández García, D. Santamarina
Journal of Computational and Applied Mathematics, vol. 276 (1), pp. 30-46, 2015

Pure Lagrangian and semi-Lagrangian finite element methods for the numerical solution of Navier-Stokes equations
M. Benítez, A. Bermúdez.
Applied Numerical Mathematics, vol. 95, pp. 62-81, 2015

Second-order pure Lagrange-Galerkin methods for fluid-structure interaction problems
M. Benítez, A. Bermúdez.
SIAM Journal on Scientific Computing, vol. 37, pp. 744-777, 2015

Numerical analysis of a transient non-linear axisymmetric eddy current model
A. Bermúdez, D. Gómez, R. Rodríguez, P. Venegas
Computers & Mathematics with Applications, vol. 70 (8), pp. 1984-2005, 2015

Existence and uniqueness of a thermoelastic problem with variable parameters
P. Barral, M.C. Naya-Riveiro, P. Quintela
European Journal of Applied Mathematics, vol. 26, pp. 497-520, 2015

Simulation and optimization models of steady-state gas transmission networks
A. Bermúdez, F. J. González-Diéguez, A. M. González Rueda, M. P. Fernández de Córdoba
Energy Procedia, vol. 64, pp. 130-139, 2015

2014

Mathematical analysis and numerical solution of axisymmetric eddy-current problems with Preisach hysteresis model
A. Bermúdez, D. Gómez, R. Rodríguez, P. Venegas
Rendiconti del Seminario Matemático, vol. 72, pp. 73-117, 2014

Variational analysis of the Langmuir-Hinshelwood dynamic mixed-kinetic adsorption model
J.R. Fernández, P. Kalita, S. Migórski, M.C. Muñiz, C. Núñez
Nonlinear Analysis: Real World Applications, vol. 15, pp. 205-220, 2014

Pure lagrangian and semi-lagrangian finite element methods for the numerical solution of convection-diffusion problems
M. Benítez, A. Bermúdez
Kinetic and Related Models, vol. 11 (2), pp. 271-287, 2014

New insights into the numerical solution of the Boltzmann transport equations for photons
T. K. Das, O. López
Kinetic and Related Models, vol. 7 (3), pp. 433-461, 2014

Iber: herramienta de simulación numérica del flujo de ríos
M.E. Vázquez-Cendón, E. Bladé, L. Cea, G. Corestein, E. Escolano, J. Dolz, A. Coll
Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería, vol. 30 (1), pp. 1-10, 2014

A Bérmudez-Moreno algorithm adapted to solve a viscoplastic problem in alloy solidification processes
P. Barral, P. Quintela, M.T. Sánchez
ESAIM – Mathematical Modelling and Numerical Analysis (M2AN), vol. 48 (1), pp. 87-106, 2014

Towards a local definition of body in Continuum Mechanics
N. León, O. López, J.A. Oubiña
The Annals of the University of Craiova – Mathematical and Computer Science, vol. 41 (1), pp. 104-128, 2014

A projection hybrid finite volume/element method for low-Mach number flows
A. Bermúdez, J.L. Ferrín, L. Saavedra, M.E. Vázquez Cendón
Journal of Computational Physics, vol. 271, pp. 360–378, 2014

Mechanical behaviour in DC alloys casting processes
P. Barral, P. Quintela, M. T. Sánchez
Archives of Computational Methods in Engineering, vol. 21, pp. 91-125, 2014

2013

A transient eddy current problem on a moving domain. Mathematical analysis
A. Bermúdez, R. Muñoz-Sola, C. Reales, R. Rodríguez, P. Salgado
SIAM Journal on Mathematical Analysis, vol. 45 (6), pp. 3629-3650, 2013

An eddy current problem in terms of a time-primitive of the electric field with non-local source conditions
A. Bermúdez, B. López-Rodríguez, R. Rodríguez, P. Salgado
ESAIM: Mathematical Modelling and Numerical Analysis, vol. 47 (3), pp. 875-902, 2013

Distribution of the coal flow in the mill-duct system of the As Pontes Power Plant using CFD modeling
J.L. Ferrín, L. Saavedra
Fuel Processing Technology, vol. 106, pp. 84-94, 2013

Existence of a solution for a thermoelectric model with several phase changes and a Carathéodory thermal conductivity
A. Bermúdez, R. Muñoz-Sola, F. Pena
Nonlinear Analysis: Real World Applications, vol. 14 (6), pp. 2212-2230, 2013

Experimental and numerical simulation of a storage tank connected to a flat-plate solar collector
A. Álvarez, M. Baz, O. Cabeza, J.L. Ferrín, M.C. Muñiz, L.M. Varela
Renewable Energy and Power Quality Journal, vol. 1 (11), pp. 186-191, 2013

Finite element approximation of nonlinear transient magnetic problems involving periodic potential drop excitations
A. Bermúdez, O. Domínguez, D. Gómez, P. Salgado
Computers and Mathematics with Applications, vol. 65 (8), pp. 1200-1219, 2013

Gas transport networks: Entry-exit tariffs via least squares methodology
A. Bermúdez, J. González-Díaz, F. J. González-Diéguez, A. M. González-Rueda
Energy Policy, vol. 63, pp. 252-260, 2013

Numerical solution of a transient nonlinear axisymmetric eddy current model with nonlocal boundary conditions
A. Bermúdez, D. Gómez, P. Salgado, R. Rodríguez, P. Venegas
Mathematical Models and Methods in Applied Sciences, vol. 23 (13), pp. 2495-2521, 2013

Numerical study of a 350 MWe tangentially fired pulverized coal furnace of the As Pontes Power Plant
I. Constenla, J. L. Ferrín, L. Saavedra
Fuel Processing Technology, vol. 116, pp. 189-200, 2013

2012

A mixed kinetic-diffusion surfactant model for the Henry isotherm
J. R. Fernández, M.C. Muñiz, C. Núñez
Journal of Mathematical Analysis and Applications, vol. 389 (1), pp. 670-684, 2012

Active control of sloshing in containers with elastic baffle plates
E. Hernández, D. Santamarina
International Journal for Numerical Methods in Engineering, vol. 91 (6), pp. 604-621, 2012

Certified reduced basis method for electromagnetic scattering and radar cross section estimation
Y. Chen, J.S. Hesthaven, Y. Maday, J. Rodríguez, X. Zhu
Computer Methods in Applied Mechanics and Engineering, vol. 233-236, pp. 92-108, 2012

Flux splitting schemes for the Euler equations
E. F. Toro, M. E. Vázquez-Cendón
Computers and Fluids, vol. 70, pp. 1-12, 2012

Numerical analysis of a second order pure lagrange-galerkin method for convection-diffusion problems. Part I: Time discretization
M. Benítez, A. Bermúdez
SIAM Journal on Numerical Analysis, vol. 50 (2), pp. 858-882, 2012

Numerical analysis of a second order pure lagrange-galerkin method for convection-diffusion problems. Part II: Fully Discretized scheme and numerical results
M. Benítez, A. Bermúdez
SIAM Journal on Numerical Analysis, vol. 50 (6), 2824-2844, 2012

Numerical analysis of a transient eddy current axisymmetric problem involving velocity terms
A. Bermúdez, C. Reales, R. Rodríguez, P. Salgado
Numerical Methods for Partial Differential Equations, vol. 28 (3), pp. 984-1012, 2012

Numerical solution of transient eddy current problems with input current intensities as boundary data
A. Bermúdez, B. López-Rodríguez, R. Rodríguez, P. Salgado
IMA Journal of Numerical Analysis, vol. 32 (3), pp. 1001-1029, 2012

Unstructured finite volume discretisation of bed friction and convective flux in solute transport models linked to the shallow water equations
L. Cea, M. E. Vázquez-Cendón
Journal of Computational Physics, vol. 231 (8), pp. 3317-3339, 2012

Analysis of a new Kolgan-type scheme motivated by the shallow water equations
L. Cea, M. E. Vázquez-Cendón
Applied Numerical Mathematics, vol. 62 (4), pp. 489-506, 2012

Mathematical modeling in chemistry. Application to water quality problems
A. Bermúdez, L.M. García
Applied Numerical Mathematics, vol. 62 (4), pp. 305-327, 2012

2011

Some experiences in industrial mathematics
A. Bermúdez
International Journal of Mathematical Modelling and Numerical Optimisation, vol. 2 (3), pp. 231-252, 2011

An a posteriori error analysis for dynamic viscoelastic problems
J.R. Fernández-García, D. Santamarina
ESAIM – Mathematical Modelling and Numerical Analysis (M2AN), vol. 45, pp. 925-945, 2011

A fictitious domain method for the numerical two-dimensional simulation of potential flows past sails
A. Bermúdez, R. Rodríguez, M. L. Seoane
Esaim-Mathematical modelling and numerical analysis-modelisation mathematique et analyse numerique, vol. 45, pp. 1033-1058, 2011

A second order characteristics finite element scheme for natural convection problems
A. Bermúdez, M. Benítez
Journal of Computational and Applied Mathematics, vol. 235 (11), pp. 3270-3284, 2011

Coupling discontinuous Galerkin methods and retarded potentials for transient wave propagation on unbounded domains
T. Abboud, P. Joly, J. Rodríguez, I. Terrasse
Journal of Computational Physics, vol. 230 (15), pp. 5877-5907, 2011

Study of a variational inequality with a singular perturbation term
J. A. Alvarez-Dios, J. C. García, M. C. Muñiz
International Journal of Computer Mathematics, vol. 88, pp. 1920-1931, 2011

A thermoelectrical problem with a nonlocal radiation boundary condition
A. Bermúdez, D. Gómez, M.C. Muñiz, R. Vázquez
Mathematical and Computer Modelling, vol. 53, pp. 63-80, 2011

Numerical simulation of group combustion of pulverized coal
A. Bermúdez, J.L. Ferrín, A. Liñán, L. Saavedra
Combustion and Flame, vol. 158 (9), pp. 1852-1865, 2011

Galerkin lumped parameter methods for transient problems
A. Bermúdez, F. Pena
International Journal for Numerical Methods in Engineering, vol. 87, pp. 943–961, 2011

Existence of infinitely many solutions for second-order singular initial value problems with an application to nonlinear massive gravity
J. A. Cid Araújo, O. López-Pouso, R. López-Pouso
Nonlinear Analysis, Series B: Real World Applications, vol. 12 (5), pp. 2596-2606, 2011

Three-point bending experiments. Part I: Mathematical study and asymptotic analysis
P. Quintela, T. Sánchez
Mathematical Methods in Applied Sciences, vol. 34, pp. 1211-1235, 2011

Three-point bending experiments. Part II: An improved formula for the modulus of rupture and numerical simulations
F. Guitián, P. Quintela, M. T. Sánchez, V. Valcárcel
Mathematical Methods in Applied Sciences, vol. 34, pp. 1254-1273, 2011

Study of a variational inequality with a singular perturbation term
J. A. Álvarez-Dios, J. C. García-Barro, M.C. Muñiz
International Journal of Computer Mathematics, vol. 88 (9), pp. 1920-1931, 2011

2010

Experimental and numerical investigation of a flat-plate solar collector
A. Álvarez, O. Cabeza, M.C. Muñiz, L.M. Varela
Energy, vol. 35 (9), pp. 3707–3716, 2010

Equivalence between two finite element methods for the eddy current problem
A. Bermúdez, B. López-Rodríguez, R. Rodríguez, P. Salgado
Comptes Rendus Mathematique, Ser. I, vol. 348 (13-14), pp. 769–774, 2010

Perfectly matched layers for time-Harmonic second order elliptic problems
A. Bermúdez, A. Hervella-Nieto, A. Prieto, R. Rodríguez
Archives of Computational Methods in Engineering, vol. 17, pp. 77–107, 2010

Numerical simulation of active-passive cells with microperforated plates or porous veils
A. Bermúdez, P. Gamallo, L. Hervella-Nieto, A. Prieto
Journal of Sound and Vibrations, vol. 329, pp. 3233-3246, 2010

Analysis of two stationary magnetohydrodynamics systems of equations including Joule heating
A. Bermúdez, R. Muñoz-Sola, R. Vázquez
Journal of Mathematical Analysis and Applications, vol. 368 (2), pp. 444–468, 2010

Numerical analysis of a finite-element method for the axisymmetric eddy current model of an induction furnace
A Bermúdez, C. Reales, R. Rodríguez, P. Salgado
IMA Journal of Numerical Analysis, vol. 30 (3), pp. 654–676, 2010

A multimodal method for non-uniform open waveguides
A. S. Bonnet-Ben Dhia, B. Goursaud, C. Hazard, A. Prieto
Physics Procedia, vol. 3 (1), pp. 497-503, 2010

About the solution of the even parity formulation of the transient radiative transfer equations
Ó. López Pouso, R. Muñoz Sola
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales, Serie A, Matemáticas (RACSAM), vol. 104 (1), pp. 129–152, 2010

Certified reduced basis methods and output bounds for the harmonic Maxwell’s equations
Y. Chen, J. S. Hesthaven, Y. Maday, J. Rodríguez
SIAM Journal on Scientific Computing, vol. 32 (2), pp. 970-996, 2010

Optimized higher order time discretization of second order hyperbolic problems: construction and numerical study
P. Joly, J. Rodríguez
Journal of Computational and Applied Mathematics, vol. 234 (6), pp. 1953-1961, 2010

Mathematical modelling of pulverized coal furnaces
A. Bermúdez, J.L. Ferrín, A. Liñán, L. Saavedra
Monografías de la Real Academia de Ciencias de Zaragoza, vol. 34, pp. 27-50, 2010

Unstructured finite volume discretisation of two-dimensional depth-averaged shallow water equations with porosity
L. Cea, M.E. Vázquez-Cendón
International Journal for Numerical Methods in Fluids, vol. 63 (8), pp. 903-930, 2010

2009

Numerical simulation of a thermo-electromagneto-hydrodynamic problem in an induction heating furnace
A. Bermúdez, D. Gómez, M.C. Muñiz, P. Salgado, R. Vázquez
Applied Numerical Mathematics, vol. 59, pp. 2082-2104, 2009

A formulation of the eddy current problem in the presence of electric ports
A. Alonso Rodríguez, A. Valli, R. Vázquez Hernández
Numerische Mathematik, vol. 113 (4), pp. 643-672, 2009

Mathematical analysis of a three-dimensional eutrophication model
L. J. Álvarez-Vázquez, F. J. Fernández, R. Muñoz-Sola
Journal of Mathematical Analysis and Applications, vol. 349 (1), pp. 135-155, 2009

Nash equilibrium for a multiobjective control problem related to wastewater
N. García-Chan, R. Muñoz-Sola, M. E. Vázquez-Méndez
ESAIM: Control, Optimisation and Calculus of Variations (ESAIM: COCV), vol. 15 (1), pp. 117-138, 2009

Convergence results of the fictious domain method for a mixed formulation of the wave equation with a Neumann boundary condition
E. Bécache, J. Rodríguez, C. Tsogka
ESAIM-Mathematical Modelling and Numerical Analysis, vol. 43 (2) pp. 377-398, 2009

Optimized higher order time discretization of second order hyperbolic problems: construction and numerical study
P. Joly, J. Rodríguez
Journal of Computational and Applied Mathematics, vol. 234 (6), pp. 1953-61, 2009

Improved successive constraint method based a posteriori error estimate for reduced basis approximation of 2D Maxwell’s problem
Y. Chen, J.S. Hesthaven, Y. Maday, J. Rodríguez
ESAIM – Mathematical Modelling and Numerical Analysis (M2AN), vol. 43 (6), pp. 1099-1116, 2009

A computational efficient algorithm to simulate the butt curl deformation in casting processes
P. Barral, P. Quintela, M. T. Sánchez
International Journal of Material Forming, vol. 2, pp. 911-14, 2009

Iterative methods for the saddle-point problem arising from the Hc-Ei formulation of the eddy current problem
A. Alonso, R. Vázquez
SIAM Journal of Scientific Computing, vol. 31, pp. 3155-3178, 2009

Evaluación de corrientes litorales y frentes de marea mediante modelización bidimensional en rías y desembocaduras de ríos
L. Cea, M.E. Vázquez-Cendón
Ingeniería del agua, vol. 16 (1), pp. 217-236, 2009

The shallow water model: The relevance of geometry and turbulence
L. Cea, J. Puertas, M.E. Vázquez-Cendón
Monografías de la Real Academia de Ciencias de Zaragoza, vol. 31, pp. 217-236, 2009

El método de volúmenes finitos aplicado a problemas de ingeniería fluvial y costera
L. Cea, J. Puertas, M.E. Vázquez-Cendón
La Gaceta de la RSME, vol. 12, pp. 71-93, 2009

2008

Eddy-current losses in laminated cores and the computation of an equivalent conductivity.
A. Bermúdez, D. Gómez, P. Salgado
IEEE Transactions on Magnetics, vol. 44, pp. 4730-4738, 2008

Fluid-structure acoustic interaction
A. Bermúdez, P. Gamallo, L. Hervella-Nieto, R. Rodríguez, D. Santamarina
Computational Acoustics of Noise Propagation in Fluids, vol. 1, pp. 253-286, 2008

A spurious-free space-time mesh refinement for elastodynamics
J. Rodríguez
International Journal for Multiscale Computational Engineering, vol. 6 (3), pp. 263-279, 2008

Analysis of a multistate control problem related to food
R. Muñoz-Sola, L.J. Álvarez-Vázquez, F.J. Fernández
Journal of Differential Equations, vol. 245 (1), pp. 130-153, 2008

A monotonic evaluation of lower bounds for inf-sup stability constants in the frame of reduced basis approximations
Y. Chen, J. S. Hesthaven, Y. Maday, J. Rodríguez
Comptes Rendus Mathematique, vol. 346 (23-24), pp. 1295-1300, 2008

Perfectly matched layers for modelling seismic oceanography experiments
P. Cobo, J. Kormann, A. Prieto
Journal of Sound and Vibration, vol. 317, pp. 354-365, 2008

A finite element method for the magnetostatic problem in terms of scalar potentials
A. Bermúdez, R. Rodríguez, P. Salgado
SIAM Journal on Numerical Analysis, vol. 46 (3), pp. 1338-1363, 2008

Modelling of materials with long memory
M.C. Naya-Riveiro, P. Quintela
International Journal of Solids and Structures, vol. 45, pp. 6133-6156, 2008

On a singular perturbation problem for a class of variational inequalities
J.A. Alvarez-Dios, M. Chipot, J.C. García, M.C. Muñiz
Journal for Analysis and its Applications, vol. 27, pp. 79-94, 2008

A symmetric BEM/FEM coupling for the three-dimensional magnetostatic problem using scalar potentials
P. Salgado, V. Selgas
Engineering Analysis with Boundary Elements, vol. 32 (8), pp. 633-644, 2008

Electromagnetic and thermal modelling of axisymmetric induction furnaces
A. Bermúdez, D. Gómez, M.C. Muñiz, P. Salgado
Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, 2008

2007

A fictitious domain method with mixed finite elements for elastodynamics
E. Bécache, J. Rodríguez, C. Tsogka
SIAM Journal on Scientific Computing, vol. 29 (3), pp. 1244-1267, 2007

Nonextensive statistical mechanics of ionic solutions
L. M. Varela, J. Carrete, R. Muñoz-Sola; J.R. Rodríguez, J. Gallego
Physics Letters A, vol. 370 (5-6), pp. 405-412, 2007

The modelling of the generation of volatiles, H2 and CO, and their simultaneous diffusion controlled oxidation, in pulverised coal furnaces
A. Bermúdez, J.L. Ferrín, A. Liñán
Combustión Theory and Modelling, vol. 11 (6), pp. 949-976, 2007

Transient numerical simulation of a thermoelectrical problem in cylindrical induction heating furnaces
A. Bermúdez, D. Gómez, M. C. Muñiz, P. Salgado
Advances in Computational Mathematics, vol. 26, pp. 39-62, 2007

Mathematical analysis of a viscoelastic problem with temperature dependent coefficients. Part I: Existence and uniqueness
P. Barral, C. Naya-Riveiro, P. Quintela
Mathematical Methods in the Applied Sciences, vol. 30, pp. 1545-1568, 2007

Mathematical analysis of a viscoelastic problem with temperature dependent coefficients. Part II: Regularity
P. Barral, C. Naya, P. Quintela
Mathematical Methods in the Applied Sciences, vol. 30, pp. 1569-1592, 2007

Simulation of Rayleigh waves in cracked plates
M.T. Cao, C. Moreno, P. Quintela
Mathematical Methods in the Applied Sciences, vol. 30, pp. 15-42, 2007

A FEM/BEM for axisymmetric electromagnetic and thermal modelling of induction furnaces
A. Bermúdez, D. Gómez, M.C. Muñiz, P. Salgado
International Journal for Numerical Methods in Engineering, vol. 71, pp. 856-878, 2007

An optimal perfectly matched layers with unbounded decay functions for time-harmonic acoustic scattering problems
A. Bermúdez, L. Hervella-Nieto, A. Prieto, R. Rodríguez
Journal of Computational Physics, vol. 223, pp. 469-488, 2007

Numerical simulation of time-harmonic scattering problems with an optimal PML
A. Bermúdez, L. Hervella-Nieto, A. Prieto, R. Rodríguez
SCIENTIA. Series A. Mathematical Sciences. New Series. Vol. 13, pp. 58-71, 2007

Validation of acoustic models for time harmonic dissipative scattering problems
A. Bermúdez, L. Hervella-Nieto, A. Prieto, R. Rodríguez
Journal of Computational Acoustics, vol. 15 (1), pp. 95-121, 2007

The modulus of rupture from a mathematical point of view
P. Quintela, M. T. Sánchez
American Institute Physics Conference Proceedings, vol. 907, pp. 1466-1471, 2007

An exact bounded perfectly matched layer for time-harmonic scattering problems
A. Bermúdez, L. Hervella-Nieto, A. Prieto, R. Rodríguez
SIAM Journal on Scientific Computing, vol. 30, pp. 312-338, 2007

Depth averaged modelling of turbulent shallow water flow with wet-dry fronts
L. Cea, J. Puertas, M.E. Vázquez-Cendón
Archives of Computational Methods in Engineering, vol. 14 (3), pp. 303-341, 2007

Numerical simulation of turbulent flow in vertical slot fishways using the 2D shallow water equations
L. Cea, L. Pena, J. Puertas, M.E. Vázquez-Cendón, E. Peña
Journal of Hydraulic Engineering, vol. 133, pp. 160-172, 2007

Numerical solution of a time-dependent Signorini contact problem
P. Quintela, M. Cao Rial, C. Moreno
Discrete and Continuous Dynamical Systems – Series A, pp. 201-211, 2007

2006

Transient numerical simulation of a thermoelectrical problem in cylindrical induction heating furnaces
A. Bermúdez, D. Gómez, M.C. Muñiz and P. Salgado
Advances in Computational Mathematics, vol. 27, pp. 39-62, 2006

Numerical modelling of a transient conductive-radiative thermal problem arising in silicon purification
A. Bermúdez, R. Leira, M. C. Muñiz, F. Pena
Finite Elements in Analysis and Design, vol. 42, pp. 809-820, 2006

An existence result for a two-phase Stefan problem arising in metal casting
A. Bermúdez, M.V. Otero
Mathematical Methods in the Applied Sciences, vol. 29, pp. 325-350, 2006

Numerical solution of variational inequalities for pricing Asian options by higher order Lagrange-Galerkin methods
A. Bermúdez, M. R. Nogueiras, C. Vázquez
Applied Numerical Mathematics, vol. 56, pp. 1256-1270, 2006

Approximation of a structural acoustic vibration problem by hexahedral finite elements
A. Bermúdez, P. Gamallo, M. R. Nogueiras, R. Rodríguez
IMA Journal of Numerical Analysis, vol. 26, pp. 391-421, 2006

Numerical analysis of convection-diffusion-reaction problems with higher order characteristics-finite elements. Part I: Time discretization
A. Bermúdez, M. R. Nogueiras, C. Vázquez
SIAM Journal on Numerical Analysis, vol. 44, pp. 1829-1853, 2006

Numerical analysis of convection-diffusion-reaction problems with higher order characteristics-finite elements. Part II: Fully discretized scheme and quadrature formulas
A. Bermúdez, M. R. Nogueiras, C. Vázquez
SIAM Journal on Numerical Analysis, vol. 44, pp. 1854-1876, 2006

Theoretical and numerical study of an implicit discretization of a 1D inviscid model for river flows
A. Bermúdez, R. Muñoz, C. Rodríguez, M.A. Vilar
Mathematical Models and Methods in Applied Sciences, vol. 16 (3), pp. 375-395, 2006

Finite element solution of a new displacement pressure poroelastic model in acoustics
A. Bermúdez, J.L. Ferrín, A. Prieto
Computer Methods in Applied Mechanics and Engineering, vol. 195 (17-18), pp. 1914-1932, 2006

A numerical algorithm for a Signorini problem associated with Maxwell-Norton materials by using generalized Newton’s methods
P. Barral, C. Moreno, P. Quintela, M.T. Sánchez
Computer Methods in Applied Mechanics and Engineering, vol. 195, pp. 880-904, 2006

Existence of solutions for a dynamic Signorini’s contact problem
M.T. Cao, P. Quintela
Comptes Rendus de l’Académie des Sciences-Mathematique, vol. 343, pp. 355-360, 2006

Two discretization schemes for a time-domain dissipative acoustics problem
A. Bermúdez, R. Rodríguez, D. Santamarina
Mathematical Models and Methods in Applied Sciences, vol. 10, pp. 1559-1598, 2006

Numerical optimization for the purification of polluted shallow waters
L.J. Álvarez-Vázquez, A. Martínez-Varela, R. Muñoz-Sola, C. Rodríguez-Iglesias, M. E. Vázquez-Mendez
Journal of Computational and Applied Mathematics, vol. 189 (1-2), pp. 191-206, 2006

An error analysis of conservative space-time mesh refinement methods for the one-dimensional wave equation
P. Joly, J. Rodríguez
SIAM Journal on Numerical Analysis, vol. 43 (2), pp. 825-859, 2006

Numerical modelling of tidal flows in complex estuaries including turbulence: An unstructured finite volume solver and experimental validation
L. Cea, J.R. French, M.E. Vázquez-Cendón
International Journal for Numerical Methods in Engineering, vol. 67, pp. 1909-1932, 2006

One-dimensional model of shallow water surface waves generated by landslides
G. Pérez, P. García-Navarro, M.E. Vázquez-Cendón
Journal of Hydraulic Engineering, vol. 132 (5), pp. 462-473, 2006

2005

Space–time mesh refinement for elastodynamics. Numerical results
E. Bécache, P. Joly, J. Rodríguez
Computer Methods in Applied Mechanics and Engineering, vol. 194 (2-5), pp. 355-366, 2005

The water conveyance problem: optimal purification of polluted waters
L.J. Álvarez-Vázquez, A. Martínez-Varela, R. Muñoz-Sola, C. Rodríguez-Iglesias, M. E. Vázquez-Mendez
Mathematical Models & Methods in Applied Sciences, vol. 15 (9), pp. 1393-1416, 2005

Radiative heat transfer in silicon purification
A. Bermúdez, R. Leira, M.C. Muñiz, F. Pena
Elliptic and Parabolic Problems. Progress in Nonlinear Differential Equations and their Applications, vol. 63, pp. 33-43, 2005

FEM for 3D eddy current problems in bounded domains subject to realistic boundary conditions. An application to metallurgical electrodes
A. Bermúdez, P. Salgado, R. Rodríguez
Archives of Computational Methods Engineering, vol. 12 (1), pp. 67-114, 2005

Numerical solution of eddy current problems in bounded domains using realistic boundary conditions
A. Bermúdez, P. Salgado, R. Rodríguez
Computer Methods in Applied Mechanics Engineering, vol. 194 (2-5), pp. 411-426, 2005

Numerical solution analysis of electric field formulations of the eddy current model
A. Bermúdez, P. Salgado, R. Rodríguez
Numerische Mathematik, vol. 102, pp. 181-201, 2005

A finite element solution of acoustic propagation in rigid porous media
A. Bermúdez, J. L. Ferrín, A. Prieto
International Journal for Numerical Methods in Engineering, vol. 62 (10), pp. 1295-1314, 2005

A nonlinear partial differential system arising in thermoelasticity
A. Bermúdez, R. Muñoz, F. Pena
European Journal of Applied Mathematics, vol. 16, pp. 683-712, 2005

Approximation properties of lowest-order hexahedral Raviart-Thomas finite elements
A. Bermúdez, P. Gamallo, M. R. Nogueiras, R. Rodríguez
Compte Rendus de l’Academie des Sciences de Paris, vol. 340 (9), pp. 687-692, 2005

The numerical treatment of wet/dry fronts in shallow flows: application to one-layer and two-layers systems
M. J. Castro, A. M. Ferreiro Ferreiro, J. A. García-Rodríguez, J.M. González-Vida, J. Macías, C. Parés, M.E. Vázquez-Cendón
Mathematical and Computer Modelling, vol. 42, pp. 419-439, 2005

2004

Numerical methods for fuzzy differential inclusions
S. Abbasbandy, O. López-Pouso, J. J. Nieto-Roig, T.A. Viranloo
Computers and Mathematics with Applications, vol. 48, pp. 1633-1641, 2004

Application of accretive operators theory to evolutive combined conduction, convection and radiation
Ó. López-Pouso, M. M. Porzio
Matemática Iberoamericana, vol. 20 (1), pp. 257-275, 2004

Numerical solution of a three-dimensional solidification problem in aluminium casting
A. Bermúdez, M. V. Otero
Finite Elements in Analysis & Design, vol. 40, pp. 1885-1906, 2004

Induced anisotropy in foams forming processes modelling and simulation
F. Chinesta, E. Cueto, P. Quintela, J. Paredes
Journal of Materials Processing Technology, vol. 155-156, pp. 1482-1488, 2004

Finite element methods in local active control of sound
A. Bermúdez, P. Gamallo, R. Rodríguez
SIAM Journal on Control & Optimization, vol. 43 (2), pp. 437-465, 2004

An exact bounded PML for the Helmholtz equation
A. Bermúdez, A. Prieto, L. Hervella-Nieto, R. Rodríguez
Comptes Rendus de l’Academie des Sciences Serie I-Mathematique, vol. 339, pp. 803-808, 2004

Numerical treatment of realistic boundary conditions for the eddy current problem in an electrode via Lagrange multipliers
A. Bermúdez, P. Salgado, R. Rodríguez
Mathematics of Computation, vol. 74-249, pp. 123-151, 2004

Límites utilizando coordenadas polares
J. Bosco, Ó. López-Pouso
La Gaceta de la Real Sociedad Matemática Española, vol. 7 (2), pp. 405-434, 2004

Experimental and numerical analysis of solitary waves generated by bed and boundary movements
L. Cea, A. Ferreiro, M.E. Vázquez-Cendón, J. Puertas
International Journal for Numerical Methods in Fluids, vol. 46, pp. 793-813, 2004

Zero mass error using unsteady wetting-drying conditions shallow flows over dry of irregular topography
P. Brufau, P. García-Navarro, M.E. Vázquez-Cendón
International Journal for Numerical Methods in Fluids, vol. 45, pp. 1047-1042, 2004

A two-layer finite volume model for flows through channels with irregular geometry: computation of maximal exchange solutions Application to the Strait of Gibraltar
M. J. Castro, J. A. García-Rodríguez, J.M. González-Vida, J. Macías, C. Parés, M.E. Vázquez-Cendón
Communications in Nonlinear Science and Numerical Simulation, vol. 9, pp. 241-249, 2004

Numerical simulation of two-layer shallow water flows through channels with irregular geometry
M. J. Castro, J. A. García-Rodríguez, J.M. González-Vida, J. Macías, C. Parés, M.E. Vázquez-Cendón
Journal of Computational Physics, vol. 195, pp. 202-235, 2004

2003

Asymptotic approximation and numerical simulation of electromagnetic casting
A. Bermúdez, M. C. Muñiz, P. Salgado
Metallurgical and Materials Transactions B-Process Metallurgy and Materials, vol. 34B, pp. 83-91, 2003

Finite element analysis of pressure formulation of the elastoacoustic problem
A. Bermúdez, P. Gamallo, L. Hervella-Nieto, R. Rodríguez
Numerische Mathematik, vol. 95, pp. 29-51, 2003

Numerical simulation of some problems related to aluminium casting
P. Barral, A. Bermudez, M.C. Muniz, V. Otero, P. Quintela, P. Salgado
Journal of Materials Processing Technology, vol. 142 (2), pp. 383-399, 2003

Existence of a solution for a free boundary problem in the thermoelectrical modelling of an aluminium electrolytic cell
L. Consiglieri, M. C. Muñiz
European Journal of Applied Mathematics, vol. 14, pp. 201-216, 2003

A numerical method for transient simulation of metallurgical compound electrodes
A. Bermúdez, J. Bullón, F. Pena, P. Salgado
Finite Elements in Analysis and Design, vol. 39, pp. 283-299, 2003

Finite element computation of sloshing modes in containers with elastic baffle plates
A. Bermúdez, R. Rodríguez, D. Santamarina
International Journal for Numerical Methods in Engineering, vol. 56 (3), pp. 447-467, 2003

On a free boundary problem modelling the electrolysis of aluminium
M. Chipot, M.C. Muñiz
Applied Mathematics and Optimization, vol. 47, pp. 231-252, 2003

Numerical analysis of the electric field formulation of an eddy current problem
A. Bermúdez, R. Rodríguez, P. Salgado
Comptes Rendus de l’Academie des Sciences de Paris Série I Mathematique, vol. 337, pp. 329-364, 2003

Finite element approximation of a displacement formulation for time-domain elastoacoustic vibrations
A. Bermúdez, R. Rodríguez, D. Santamarina
Journal of Computational and Applied Mathematics, vol. 152, pp. 17-34, 2003

Homogenizing the acoustic properties of a porous matrix containing an incompressible inviscid fluid
J.L. Ferrin, A. Mikelic
Mathematical Methods in the Applied Sciences, vol. 26, pp. 831-859, 2003

Analysis and comparison of two approximation schemes for a radiative transfer system
M. Falcone, O. López-Pouso
Mathematical Models and Methods in Applied Sciences, vol. 13 (2), pp. 159-186, 2003

Comparison between usual and vector time derivatives
O. López-Pouso
Glasgow Mathematical Journal, vol. 45 (1), pp. 167-172, 2003

2002

Existence of a solution for a Signorini contact problem for Maxwell-Norton materials
P. Barral, P. Quintela
IMA Journal of Applied Mathematics, vol. 67, pp. 525-549, 2002

Linear elliptic problems with mixed boundary conditions related to radiation heat transfer
M. M. Porzio, O. Lopez-Pouso
M3AS: Mathematical Models and Methods in Applied Sciences, vol. 12 (4), pp. 541-565, 2002

A method for computing guided waves in integrated optics. Part II: Numerical approximation and error analysis
D. Gómez, P. Joly
SIAM Journal on Numerical Analysis, vol. 39 (5), pp. 1684-1711, 2002

Analysis of a finite element method for pressure-potential formulation of elastoacoustic spectral problems
A. Bermúdez, R. Rodríguez
Numerische Mathematik, vol. 71, pp. 537-552, 2002

A modal synthesis method for the elastoacoustic vibration problem
A. Bermúdez, L. Hervella-Nieto, R. Rodríguez
M2AN Mathematical Modelling and Numerical Analysis, vol. 36 (1), pp. 121-142, 2002

A hybrid approach for the computation of guided modes in integrated optics
A. Bermúdez, D. Gómez, P. Joly
Advances in Computational Mathematics, vol. 16, pp. 229-261, 2002

Testimonials
A. Bermúdez, E. Casas, E. Fernández, A. Valle
Gaceta de la Real Sociedad Matemática Española, vol. 5 (2), pp. 254-367, 2002

A finite element method with Lagrange multipliers for low frequency harmonic Maxwell equations
A. Bermúdez, R. Rodríguez, P. Salgado
SIAM Journal on Numerical Analysis, vol. 40 (5), pp. 1823-1849, 2002

Modeling and numerical treatment of boundary data in an eddy current problem
A. Bermúdez, R. Rodríguez, P. Salgado
Compte Rendus de l’Academie des Sciences de Paris Série I Mathematique, vol. 335 (7), pp. 633-638, 2002

Application of the optimal control theory to the wastewater elimination problem
A. Bermúdez, L.J. Álvarez-Vázquez, A. Martínez, C. Rodríguez, M.E. Vázquez-Méndez
RACSAM. de la Real Academia de las Ciencias Exactas y Físicas Naturales. Serie A Matematicas, vol. 96 (3), pp. 283-298, 2002

Some applications of optimal control theory of distributed systems
A. Bermúdez
ESAIM. Control, Optimisation and Calculus of Variations, vol. 8 (2002), pp. 195-218, 2002

Asymptotic analysis of a metallostatic pressure type boundary condition modelled by a fictitious domain method in an aluminium casting
P. Barral, P. Quintela
Asymptotic Analysis, vol. 30, pp. 93-116, 2002

Numerical computation of the acoustic properties of porous media obtained by homogenisation techniques
A. Bermúdez, J.L. Ferrin, A. Mikelic
Acta Acustica united with Acustica, vol. 88, pp. S114-S114, 2002

Numerical simulation of internal tides in the Strait of Gibraltar
M. J. Castro, J.M. González-Vida, J. Macías, M. L. Muñoz, C. Parés, J. García-Rodríguez, M.E. Vázquez-Cendón
Revista de la Real Academia de Ciencias Serie A Matemáticas, vol. 96 (3), pp. 322-341, 2002.

A numerical model for the flooding and drying of irregular domains
P. Brufau, M.E. Vázquez-Cendón, P. García-Navarro
International Journal for Numerical Methods in Fluids, vol. 39, pp. 247-275, 2002

2001

A method for computing guided waves in integrated optics. Part I: Mathematical analysis
D. Gómez, P. Joly
SIAM Journal on Numerical Analysis, vol. 39 (2), pp. 596-623, 2001

Homogenizing the acoustic properties of the seabed, part II
D. Gómez, P. Joly
Mathematical and Computer Modelling, vol. 33 (8-9), pp. 821-841, 2001

Asymptotic justification of the treatment of a metallostatic pressure type boundary condition in an aluminium casting.
P. Barral, P. Quintela
Mathematical Models and Methods in Applied Sciences, vol. 11 (6), pp. 951-977, 2001

Obtaining the linearized equations for small perturbations of a flow
A. Bermúdez
Mathematicae Notae, vol. 41, pp. 123-138, 2001

A hexahedral face element for elastoacoustic vibration problems
A. Bermúdez, P. Gamallo, R. Rodríguez
Journal of the Acoustical Society of America (JASA), vol. 109, pp. 422-425, 2001

Finite element computation of the vibrations of a plate-fluid system with interface damping
A. Bermúdez, L. Hervella-Nieto, R. Rodríguez
Computer Methods Applied Mechanics Engineering, vol. 190, pp. 3021-3038, 2001

A hexahedral face element method for the displacement formulation of structural acoustic problems
A. Bermúdez, P. Gamallo, R. Rodríguez
Journal of Computational Acoustics, vol. 9, pp. 911-918, 2001

2000

Numerical analysis of a viscoplastic problem with contact condition taking place in an aluminium casting
P. Barral, P. Quintela
Journal of Computational and Applied Mathematics, vol. 115, pp. 63-86, 2000

Processing and use of human freeze-dried bone allografts in implant dentistry
D. Santamarina
Dental Implantology Update, vol. 11 (10), pp. 73-77, 2000

Trace theorem and existence in radiation
O. López-Pouso
Advances in Mathematical Sciences and Applications, vol. 10 (2), pp. 757-773, 2000

A finite element solution of an added mass formulation for coupled fluid-solid vibrations
A. Bermúdez, R. Rodríguez, D. Santamarina
Numerische Mathematik, vol. 87 (2), pp. 201-227, 2000

A domain decomposition-finite element method for the numerical simulation of electrolytic cells
A. Bermúdez, P. Salgado
Computer Methods Applied Mechanics Engineering, vol. 188 (1-3), pp. 391-412, 2000

A numerical algorithm for prediction of deformation during the casting of aluminum alloy ingots
P. Barral, P. Quintela
Finite Elements in Analysis and Design, vol. 34, pp. 125-143, 2000

Finite element analysis of a quadratic eigenvalue problem arising in dissipative acoustics
A. Bermúdez, R. G. Durán, R. Rodríguez, J. Solomín
SIAM Journal on Numerical Analysis, vol. 38 (1), pp. 267-291, 2000

On numerical treatment of the source terms in the shallow water equations
P. García-Navarro, M.E. Vázquez-Cendón
Computers and Fluids, vol. 29 (8), pp. 951-979, 2000

1999

A numerical method for simulation of thermal stresses during casting of aluminum slabs
P. Barral, P. Quintela
Computer Methods in Applied Mechanics and Engineering, vol. 178, pp. 69-88, 1999

Finite element computation of three dimensional elastoacoustic vibration
A. Bermúdez, L. Hervella-Nieto, R. Rodríguez
Journal of Sound and Vibration, vol. 219, (2), pp. 279-306, 1999

Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
M.E. Vázquez-Cendón
Journal of Computational Physics, vol. 148 (2), pp. 497-526, 1999

Some contributions to the study of the space of distributions D (V), with V closed
O. López-Pouso
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales de España, vol. 93 (2), pp. 267-273, 1999

Finite element analysis of sloshing and hydroelastic vibrations under gravity
A. Bermúdez, R. Rodríguez
M2AN Mathematical Modelling and Numerical Analysis, vol. 33 (2), pp. 305-327, 1999

Modelling and numerical solution of elastoacoustic vibrations with interface damping
A. Bermúdez, R. Rodríguez
International Journal for Numerical Methods in Engineering, vol. 46 (10), pp. 1763-1779, 1999

Numerical solution of a free boundary problem taking place in an electromagnetic casting
A. Bermúdez, M.C. Muñiz
Mathematical Models and Methods in Applied Sciences, vol. 9 (9), pp. 1393-1416, 1999

Numerical computation of the electromagnetic field in the electrodes of a three-phase arc furnace
A. Bermúdez, J. Bullón, M.C. Muñiz, F. Peña
International Journal for Numerical Methods in Engineering, vol. 46, pp. 649-658, 1999

Existence of solution of a coupled problem arising in the thermoelectrical simulation of an electrode
A. Bermúdez, R. Muñoz-Sola
Quarterly of Applied Mathematics, vol. 57 (4), pp. 621-636, 1999

1998

Upwind schemes for the two-dimensional shallow water equations with variable depth using unstructured meshes
A. Bermúdez, A. Dervieux, J.A. Désidéri, M.E. Vázquez
Computer Methods in Applied Mechanics and Engineering, vol. 155 (1-2), pp. 49-72, 1998

A Finite element method for the thermoelectrical modelling of electrodes
A. Bermúdez, J. Bullón, F. Pena
Communications in Numerical Methods in Engineering, vol. 14, pp. 581-593, 1998

Finite element analysis of compressible and incompressible fluid-solid systems
A. Bermúdez, R. Durán, R. Rodríguez
Mathematics of Computation, vol. 67 (221), pp. 111-136, 1998

Numerical solution of a nonlocal problem arising in plasma physics
A. Bermúdez, M.L. Seoane
Mathematical and Computer Modelling, vol. 27 (5), pp. 45-59, 1998

Existence of solution for a free boundary problem in a nonlinear piecewise homogeneous medium
A. Bermúdez, M.C. Muñiz, P. Quintela
SIAM Journal on Numerical Analysis, vol. 15 (4), pp. 399-430, 1998

1997

Finite element solution of incompressible fluid-structure vibration problems
A. Bermúdez, R. Durán, R. Rodríguez
International Journal Numerical Methods in Engineering, vol. 40 (8), pp. 1435-1448, 1997

1996

Numerical Simulation of a Pulverized Coal Furnace
A. Bermúdez, J. L Ferrín, O. López
Zeitschrift für angewandte Mathematik und Mechanik: ZAMM, vol. 76 (1), pp. 357-358, 1996

1995

A free boundary problem arising in the thermoelectrical modelling of aluminium electrolytic cells
A. Bermúdez, M.C. Muñiz, P. Quintela
Free Boundary Problems: Theory and Applications. Pitman Research Notes in Mathematics, ser. 323, pp. 57-71, 1995

Finite element vibration analysis of fluid-solid systems without spurious modes
A. Bermúdez, R. Durán, M.A. Muschietti, R. Rodríguez, J. Solomin
SIAM Journal on Numerical Analysis, vol. 32 (4), pp. 1280-1295, 1995

Existence and uniqueness for a free boundary value problem in aluminium electrolysis
A. Bermúdez, M.C. Muñiz, P. Quintela
Journal of Mathematical Analysis and Applications, vol. 191 (3), pp. 497-527, 1995

1994

Perturbed bifurcation in the von Kármán equations
P. Quintela
Asymptotic Analysis, vol. 8 (2), pp. 161-184, 1994

A state constrained optimal control problem related to the sterilisation of canned foods
A. Bermúdez, A. Martínez
Automatica, vol. 30 (2), pp. 319-329, 1994

Upwind methods for hyperbolic conservation-laws with source terms
A. Bermúdez, M.E. Vázquez
Computers and Fluids, vol. 23 (8), pp. 1049-1071, 1994

A numerical method for resolution of two-dimensional shallow-water equations
A. Bermúdez, C. Rodríguez, M.A. Vilar
GAIA Revista de Geociencias, vol. 8, pp. 63-66, 1994

Finite element vibration analysis of fluid-solid systems without spurious modes
A. Bermúdez, R. Rodríguez
Computer Methods in Applied Mechanics and Engineering, vol. 119 (3-4), pp. 355-370, 1994

Finite element computation of the vibration modes of a fluid-solid system
A. Bermúdez, R. Rodríguez
Computer Methods in Applied Mechanics and Engineering, vol. 119 (3-4), pp. 355-370, 1994

1993

An inverse problem related to the three-dimensional modelling of aluminium electrolytic cells
A. Bermúdez, L. Carpintero, M.C. Muñiz, P. Quintela
Computational Methods of free and Moving Boundary Problems II, pp. 377-388, 1993

Mathematical analysis and numerical methods for a free boundary problem arising in aluminium electrolysis
A. Bermúdez, M.C. Muñiz, P. Quintela
Free boundary problems news, vol. 3, pp. 11, 1993

Numerical solution of a three-dimensional thermoelectrical problem taking place in an aluminium electrolytic cell
A. Bermúdez, M.C. Muñiz, P. Quintela
Computer Methods in Applied Mechanics and Engineering, vol. 106 (1-2), pp. 129-142, 1993

1992

The effect of different scallings in the modeling of nonlinearly elastic plates with rapidly varying thickness
L.J. Álvarez-Vázquez, P. Quintela
Computer Methods in Applied Mechanics and Engineering, vol. 96, pp. 1-24, 1992

Mathematical analysis of a finite element method without spurious solutions for computation of dielectric waveguides
A. Bermúdez, D. Gómez
Numerische Mathematik, vol. 61 (1), pp. 39-57, 1992

1991

Un problème de contrôle ponctuel lié à l’emplacement optimal d’émissaires d’évacuation sous-marins
A. Bermúdez, A. Martínez, C. Rodríguez
Compte Rendus de l’Academie des Sciences de Paris Série I Mathematique, vol. 313 (8), pp. 515-518, 1991

Solving shallow water equations by a mixed implicit finite element method
A. Bermúdez, C. Rodríguez, M.A. Vilar
IMA Journal of Numerical Analysis, vol. 11 (1), pp. 79-97, 1991

1990

Numerical solution of a Stefan problem arising in the thermoelectrical modelling of aluminium electrolytic cells
P. Quintela
Applicable Analysis, vol. 39 (2-3), pp. 151-164, 1990

A new model for nonlinear elastic plates with varying thickness II: the effect of the behavior of the forces when the thickness approaches zero
P. Quintela
Applicable Analysis, vol. 39 (2-3), pp. 151-164, 1990

Critical points in the energy of hyperelastic materials
P. Quintela
RAIRO Mathematical Modelling and Numerical Analysis, vol. 24 (1), pp. 103-132, 1990

The interfacial velocity between two liquid phases in laminar flow through a rectangular channel
G. Vázquez, G. Antorrena, A. Bermúdez, F. Chenlo, D. Otero
International Chemical Engineering, vol. 30, pp. 117-123, 1990

1989

An upwind method for solving transport-diffusion reaction systems
A. Bermúdez, J. Durany, M. Posse, C. Vázquez
International Journal for Numerical Methods in Engineering, vol. 28, pp. 2021-2032, 1989

A new model for nonlinear elastic plates with rapidly varying thickness
P. Quintela
Applicable Analysis, vol. 32 (2), pp. 107-127, 1989

Numerical solution of cavitation problems in lubrication
A. Bermúdez, J. Durany
Computer Methods in Applied Mechanics and Engineering, vol. 75 (13), pp. 457-466, 1989

1988

Numerical solution of steady-state flow through a porous dam
A. Bermúdez, J. Durany
Computer Methods in Applied Mechanics and Engineering, vol. 68 (1), pp. 55-65, 1988

1987

La methode des caracteristiques pour les problèmes de convection-diffusion stationnaires
A. Bermúdez, J. Durany
RAIRO Mathematical Modelling and Numerical Analysis, vol. 21 (1), pp. 7-26, 1987

Optimal control of a Signorini Problem
A. Bermúdez, C. Saguez
SIAM Journal on Control and Optimization, vol. 25 (3), pp. 576-582, 1987

Optimality conditions for optimal control problems of variational inequalities
A. Bermúdez, C. Saguez
SIAM Journal on Control and Optimization, vol. 97, pp. 143-153, 1987

Velocidades interfaciales en el flujo laminar de dos fases líquidas en un canal rectangular
G. Vázquez, G. Antorrena, A. Bermúdez, F. Chenlo, D. Otero
Anales de Química, vol. 83, pp. 377-384, 1987

1986

Numerical computation of elastoacoustic vibrations with interface damping
A. Bermúdez, R. Rodríguez
Équations aux dérivées partielles et applications. Articles dédiés à Jacques-Louis Lions, vol. 14 (1-3), pp. 9-30, 1986

Optimal control of variational inequalities
A. Bermúdez, C. Saguez
Control and Cybernetics, vol. 14 (1-3), pp. 9-30, 1986

Solving unilateral problems for beams by finite element methods
A. Bermúdez, J. Fernández
Computer Methods in Applied Mechanics and Engineering, vol. 54 (1), pp. 67-73, 1986

A nonlinear evolution equation modelling the Marangoni effect: existence of solution and numerical methods
A. Bermúdez, C. Rodríguez
Annales de la Faculté de Sciences de Toulouse Mathématiques, vol. 8, pp. 205-223, 1986-87

1984

Une justification des équations de la thermoélasticité des poutres à section variable par des méthodes asymptotiques
A. Bermúdez, J.M. Viaño
RAIRO Analyse Numérique, vol. 18, pp. 347-376, 1984

Un método numérico para la resolución de ecuaciones con varios términos no lineales. Aplicación a un problema de flujo de gas en un conducto
A. Bermúdez
Revista de la Real Academia de Ciencias de Madrid, vol. 78, pp. 485-495, 1984

An existence theorem for an implicit nonlinear evolution equation
A. Bermúdez, J. Durany, C. Saguez
Collectanea Mathematica, vol. 35 (1), pp. 19-34, 1984

1983

Étude de deux schémas numériques pour la les équations de la thermoelasticité
A. Bermúdez, J.M. Viaño
RAIRO Analyse Numérique, vol. 17 (2), pp. 121-136, 1983

1982

Modélisation et simulation de la solidification d’un alliage à N composants
A. Bermúdez, C. Saguez
Lecture Notes in Control and Information Sciences, vol. 44, pp. 147-160, 1982

Numerical simulation of an alloy solidification problem
A. Bermúdez, C. Saguez
Lecture Notes in Control and Information Sciences, vol. 38, pp. 318-325, 1982

A mixed method for the elastoplastic torsion problem
A. Bermúdez
IMA Journal of Numerical Analysis, vol. 2, pp. 325-334, 1982

Some numerical methods in elastoplasticity
A. Bermúdez, J.M. Viaño
Calcolo, vol. 19 (4), pp. 335-353, 1982

1981

Duality methods for solving variational inequalities
A. Bermúdez, C. Moreno
Computer and Mathematics with Applications, vol. 7, pp. 43-58, 1981

1980

Modelos matemáticos en solidificación: aplicaciones en metalurgia
A. Bermúdez
Publicacions Matemàtiques, vol. 22, pp. 213-222, 1980

Algoritmos para la resolución numérica de ciertos problemas de evolución no lineales
A. Bermúdez
Publicaciones de la Sección de Matematiques de la Universidad Autónoma de Barcelona, vol. 18, pp. 93-108, 1980

1979

Dos algoritmos para la resolución numérica de una ecuación parabólica casi-lineal
A. Bermúdez
Collectanea Mathematica, vol. 30 (2), pp. 125-139, 1979

1978

Sur l’optimalité et la mise en œuvre de certaines commandes à retour du type “plus ou moins”
A. Bermúdez, C. Moreno
Revue Francaise d’Automatique et Recherche Operationnelle (RAIRO) Série Automatique, vol. 12, pp. 291-298, 1978