From the 1 of 3 linked papers with an AI index.
3 papers
Invariant-domain-preserving limiting with Adaptive Mesh Refinement for Legendre-Gauss-Lobatto Discontinuous Galerkin Spectral Element Methods
Benjamin Bolm, Andrés M. Rueda-RamÃrez, Dmitri Kuzmin +1
The paper introduces an invariant‑domain‑preserving limiting technique for high‑order Legendre‑Gauss‑Lobatto discontinuous Galerkin spectral element methods with adaptive mesh refi…
Well-Balanced Subcell Limiting for Discontinuous Galerkin Discretizations of the Shallow-Water Equations
Andrés M. Rueda-RamÃrez, Patrick Ersing, Andrew R. Winters +1
High-order discontinuous Galerkin (DG) methods equipped with subcell finite-volume (FV) limiters provide an efficient framework for the simulation of nonlinear hyperbolic balance l…
An Entropy-Stable Discontinuous Galerkin Discretization of the Ideal Multi-Ion Magnetohydrodynamics System
Andrés M Rueda-RamÃrez, Aleksey Sikstel, Gregor J Gassner
In this paper, we present an entropy-stable (ES) discretization using a nodal discontinuous Galerkin (DG) method for the ideal multi-ion magneto-hydrodynamics (MHD) equations. We s…