On Source Terms and Boundary Conditions Using Arbitrary High Order Discontinuous Galerkin Schemes

DOI10.2478/v10006-007-0024-1zbMath1159.35305OpenAlexW2102769315MaRDI QIDQ3517399

Michael Dumbser, Claus-Dieter Munz

Publication date: 12 August 2008

Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/207837

zbMATH Keywords

ADER approachdiscontinuous Galerkin schemesnonlinear hyperbolic systems

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Theoretical approximation in context of PDEs (35A35) 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 systems (35L45)

Related Items (7)

Accuracy assessment of a high-order moving least squares finite volume method for compressible flows ⋮ High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension ⋮ Efficient very high-order accurate polyhedral mesh finite volume scheme for 3D conjugate heat transfer problems in curved domains ⋮ Arbitrary high order \(P_{N}P_{M}\) schemes on unstructured meshes for the compressible Navier-Stokes equations ⋮ Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems ⋮ A dynamic bi-orthogonal field equation approach to efficient Bayesian inversion ⋮ A sixth-order finite volume method for the 1D biharmonic operator: application to intramedullary nail simulation

Uses Software

• HE-E1GODF

Cites Work

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• A low Mach number scheme based on multi-scale asymptotics

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