The Regionally Implicit Discontinuous Galerkin Method: Improving the Stability of DG-FEM

DOI10.1137/17M1156174zbMath1422.65221arXiv1711.03447WikidataQ127739566 ScholiaQ127739566MaRDI QIDQ5232286

Pierson T. Guthrey, James A. Rossmanith

Publication date: 2 September 2019

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.03447

zbMATH Keywords

hyperbolic conservation lawsnumerical stabilityCourant-Friedrichs-Lewy conditiondiscontinuous Galerkintime-stepping

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for first-order hyperbolic equations (35L03)

Related Items (4)

Application of an Implicit Scheme of the Discontinuous Galerkin Method to Solving Gas Dynamics Problems on NVIDIA Graphic Accelerators ⋮ Lax-Wendroff flux reconstruction method for hyperbolic conservation laws ⋮ Positivity-preserving Lax-Wendroff discontinuous Galerkin schemes for quadrature-based moment-closure approximations of kinetic models ⋮ regionally-implicit-dg

Uses Software

• Matlab
• GitHub

Cites Work

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• Total variation diminishing Runge-Kutta schemes
• Finite Volume Methods for Hyperbolic Problems
• Systems of conservation laws

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