galerkin discretization 1imex schemes 1lava flow modeling 1shallow water equations 1stability analysis 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.NA2026
Second-order optimally stable IMEX (pseudo-)staggered Galerkin discretization with application to depth-integrated lava flow simulations
Federico Gatti, Giuseppe Orlando
The paper proposes second‑order IMEX Runge‑Kutta schemes combined with a novel pseudo‑staggered Galerkin discretization for shallow‑water‑type equations used to simulate lava flows…
astro-ph.IM2025
Physical Constraint Preserving Higher Order Finite Volume Schemes for Divergence-Free Astrophysical MHD and RMHD
Dinshaw S. Balsara, Deepak Bhoriya, Chetan Singh +3
Higher order finite volume schemes for magnetohydrodynamics (MHD) and relativistic magnetohydrodynamics (RMHD) are very valuable because they allow us to carry out astrophysical si…
math.NA2024
Two Nitsche-based mixed finite element discretizations for the seepage problem in Richards' equation
Federico Gatti, Andrea Bressan, Alessio Fumagalli +4
This paper proposes two algorithms to impose seepage boundary conditions in the context of Richards' equation for groundwater flows in unsaturated media. Seepage conditions are non…