89 citations · 517 across the 30 of their papers we have counts for
33 papers
Locally conservative redistribution limiting and applications to the approximation of conservation equations, Part II
Jean-Luc Guermond
A non-intrusive, discretization and PDE agnostic limiting technique is introduced. The method is conservative and can be applied to high-order approximations including spectral met…
Invariant-domain preserving IMEX schemes for the nonequilibrium Gray Radiation-Hydrodynamics equations Part I
Jean-Luc Guermond, Eric J. Tovar
In this work we introduce an implicit-explicit invariant-domain preserving approximation of the nonequilibrium gray radiation-hydrodynamics equations. A time and space approximatio…
Preconditioning of the generalized Stokes problem arising from the approximation of the time-dependent Navier-Stokes equations
Melvin Creff, Jean-Luc Guermond
The paper compares standard iterative methods for solving the generalized Stokes problem arising from the time and space approximation of the time-dependent incompressible Navier-S…
A high-order explicit Runge-Kutta approximation technique for the Shallow Water Equations
Jean-Luc Guermond, Matthias Maier, Eric Tovar
We introduce a high-order space-time approximation of the Shallow Water Equations with sources that is invariant-domain preserving (IDP) and well-balanced with respect to rest stat…
First-order greedy invariant-domain preserving approximation for hyperbolic problems: scalar conservation laws, and p-system
Jean-Luc Guermond, Matthias Maier, Bojan Popov +2
The paper focuses on first-order invariant-domain preserving approximations of hyperbolic systems. We propose a new way to estimate the artificial viscosity that has to be added to…
Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state
Bennett Clayton, Jean-Luc Guermond, Matthias Maier +2
This paper is concerned with the approximation of the compressible Euler equations supplemented with an arbitrary or tabulated equation of state. The proposed approximation techniq…