2025
S. Busto, L. Río-Martín. Semi-implicit hybrid finite volume/finite element method for the GPR model of continuum mechanics. Journal of Scientific Computing, 102, 49, 2025.
W. Boscheri, S. Busto, M. Dumbser. An all Mach number semi-implicit hybrid Finite Volume/Virtual Element method for compressible viscous flows on Voronoi meshes. Computer Methods in Applied Mechanics and Engineering, 433 (Part A), 117502, 2025.
2024
E. Zampa, S. Busto, M. Dumbser. A divergence-free hybrid finite volume / finite element scheme for the incompressible MHD equations based on compatible finite element spaces. Applied Numerical Mathematics, 198, 346–374, 2024.
S. Busto, M. Dumbser. A New Class of Simple, General and Efficient Finite Volume Schemes for Overdetermined Thermodynamically Compatible Hyperbolic Systems. Communications on Applied Mathematics and Computation, 6, 1742–1778, 2024.
2023
A. Lucca, S. Busto, L.O. Müller, E.F. Toro, M. Dumbser. A semi-implicit finite volume scheme for blood flow in elastic and viscoelastic vessels. Journal of Computational Physics, 495, 112530, 2023.
F. Fambri, E. Zampa, S. Busto, L. Río-Martín, F. Hindenlang, E. Sonnendrücker, M. Dumbser. A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations. Journal of Computational Physics, 493, 112493, 2023.
S. Busto, M. Dumbser. A new thermodynamically compatible finite volume scheme for magnetohydrodynamics. SIAM Journal on Numerical Analysis, 61, 343-364, 2023.
R. Abgrall, S. Busto, M. Dumbser. A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics. Applied Mathematics and Computation, 440, 127629, 2023.
S. Busto, M. Dumbser, L. Río-Martín. An Arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element method on moving unstructured meshes for the Navier-Stokes equations. Applied Mathematics and Computation, 437, 127539, 2023.
2022
S. Busto, M. Dumbser. A new family of thermodynamically compatible discontinuous Galerkin methods for continuum mechanics and turbulent shallow water flows. Journal of Scientific Computing, 93, 56, 2022.
S. Busto, M. Dumbser, I. Peshkov, E. Romenski. On thermodinamically compatible finite volume schemes for continuum mechanics. SIAM Journal on Scientific Computing, 44(3), A1723-A1751, 2022.
S. Busto, M. Dumbser. A staggered semi-implicit hybrid finite volume/finite element scheme for the shallow water equations at all Froude numbers. Applied Numerical Mathematics, 175, 108–132, 2022.
2021
S. Busto, M. Dumbser, K. Ivanova, S. Gavrilyuk. On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows. Journal of Scientific Computing 88 (1), 28, 2021.
S. Busto, L. Río-Martín, M.E. Vázquez-Cendón, M. Dumbser. A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes. Applied Mathematics and Computation (402), 126117, 2021.
2020
S. Busto, G. Stabile, G. Rozza, M.E. Vázquez-Cendón. POD-Galerkin reduced order methods for combined Navier-Stokes transport equations based on a hybrid FV-FE solver. Computers & Mathematics with Applications (79), 256–273, 2020.