Spacetime discontinuous Galerkin methods for convection-diffusion equations

DOI10.1007/s00574-016-0169-3zbMath1360.65238OpenAlexW2462289869MaRDI QIDQ504602

Sandra May

Publication date: 17 January 2017

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-016-0169-3

zbMATH Keywords

numerical resultsconvection-diffusion equationdiscontinuous Galerkin methodhyperbolic equationviscous Burgers equationentropy stabilityinterior penalty methodlinear advection-diffusion equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order hyperbolic equations (35L20) KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) 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)

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Cites Work

• Entropy stable shock capturing space-time discontinuous Galerkin schemes for systems of conservation laws
• Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
• The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
• An Interior Penalty Finite Element Method with Discontinuous Elements
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems