Von Neumann stability analysis of globally constraint-preserving DGTD and PNPM schemes for the Maxwell equations using multidimensional Riemann solvers
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Publication:2311507
DOI10.1016/j.jcp.2018.09.051zbMath1416.78020arXiv1804.06731OpenAlexW2798146058WikidataQ129101415 ScholiaQ129101415MaRDI QIDQ2311507
Dinshaw S. Balsara, Roger Käppeli
Publication date: 10 July 2019
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.06731
discontinuous Galerkin methodmultidimensional Riemann solvervon Neumann stabilityhigher-order schemescomputational electrodynamics
Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (9)
Optimal, globally constraint-preserving, \(\mathrm{DG(TD)}^2\) schemes for computational electrodynamics based on two-derivative Runge-Kutta timestepping and multidimensional generalized Riemann problem solvers -- a von Neumann stability analysis ⋮ Von Neumann stability analysis of DG-like and P\(N\)P\(M\)-like schemes for PDEs with globally curl-preserving evolution of vector fields ⋮ Globally divergence-free DG scheme for ideal compressible MHD ⋮ Multidimensional generalized Riemann problem solver for Maxwell's equations ⋮ Curl constraint-preserving reconstruction and the guidance it gives for mimetic scheme design ⋮ Efficient WENO-based prolongation strategies for divergence-preserving vector fields ⋮ Globally constraint-preserving FR/DG scheme for Maxwell's equations at all orders ⋮ High order direct arbitrary-Lagrangian-Eulerian (ALE) \(P_NP_M\) schemes with WENO adaptive-order reconstruction on unstructured meshes ⋮ On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations
Uses Software
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