Compact and Stable Discontinuous Galerkin Methods for Convection-Diffusion Problems

DOI10.1137/100817528zbMath1251.65137OpenAlexW2008625935MaRDI QIDQ2882789

Slavko Brdar, Robert Klöfkorn, Andreas Dedner

Publication date: 7 May 2012

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: http://wrap.warwick.ac.uk/43679/1/WRAP_dedner_SCE00A263.pdf

zbMATH Keywords

stabilityheat equationcoercivityconvection-diffusion problemdiscontinuous Galerkin methodPoisson equationcompressible Navier-Stokes equationhigher order discretization

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Navier-Stokes equations for incompressible viscous fluids (76D05) Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Uses Software

• SLEPc
• DUNE-FEM
• PETSc

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