most citedPhysical Constraint Preserving Higher Order Finite Volume Schemes for Divergence-Free Astrophysical MHD and RMHD

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math.NA2025

Second-order optimally stable IMEX (pseudo-)staggered Galerkin discretization with application to depth-integrated lava flow simulations

Federico Gatti, Giuseppe Orlando

We present second-order optimally stable Implicit-Explicit (IMEX) Runge-Kutta (RK) schemes with application to a modified set of shallow water equations that can be used to model t…

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…