A generic stabilization approach for higher order discontinuous Galerkin methods for convection dominated problems

DOI10.1007/s10915-010-9448-0zbMath1229.65175OpenAlexW2095128053MaRDI QIDQ649964

Andreas Dedner, Robert Klöfkorn

Publication date: 25 November 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-010-9448-0

zbMATH Keywords

conservation lawsstabilizationnumerical examplesEuler equationsconvection dominated problemsfinite volumeparallelizationgas dynamicsdiscontinuous Galerkinhigher order methodsgeneric limiter

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Euler equations (35Q31)

Related Items (9)

Extendible and efficient Python framework for solving evolution equations with stabilized discontinuous Galerkin methods ⋮ A discontinuous Galerkin approach for high-resolution simulations of three-dimensional flows ⋮ The localized reduced basis multiscale method for two-phase flows in porous media ⋮ Bound-Preserving Discontinuous Galerkin Method for Compressible Miscible Displacement in Porous Media ⋮ A Python Framework for Solving Advection-Diffusion Problems ⋮ A generic stabilization approach for higher order discontinuous Galerkin methods for convection dominated problems ⋮ The \textsc{Dune} framework: basic concepts and recent developments ⋮ Comparison of linear reconstructions for second-order finite volume schemes on polyhedral grids ⋮ An Adaptive Wavelet Collocation Method for Solution of the Convection-Dominated Problem on a Sphere

Uses Software

• DUNE
• DUNE-FEM

Cites Work

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