A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes

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Publication:942263

DOI10.1016/j.jcp.2008.05.025zbMath1147.65075OpenAlexW1976883414MaRDI QIDQ942263

Eleuterio F. Toro, Dinshaw S. Balsara, Michael Dumbser, Claus-Dieter Munz

Publication date: 5 September 2008

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.05.025

zbMATH Keywords

stabilityfinite volume methodnumerical examplesunstructured meshesEuler equationsdiscontinuous Galerkin methodnonlinear elasticityhyperbolic PDEone-step time discretization\(M\)-exact \(PNPM\) least squares reconstructionlocal continuous space-time Galerkin method


Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite volume methods applied to problems in fluid mechanics (76M12) 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) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite volume methods applied to problems in solid mechanics (74S10)


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