An analysis of the dissipation and dispersion errors of the \(P_{N } P_{M }\) schemes

DOI10.1007/s10915-012-9600-0zbMath1259.65148OpenAlexW2071037072MaRDI QIDQ1936313

Gregor J. Gassner

Publication date: 4 February 2013

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

Full work available at URL: https://doi.org/10.1007/s10915-012-9600-0

zbMATH Keywords

wave propagationnumerical examplesdissipationdispersionfinite volume schemehyperbolic conservation lawreconstructed discontinuous Galerkin\(P_{N } P_{M }\) schemescell centered polynomial least-squares reconstruction

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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Cites Work

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• Arbitrary high order \(P_{N}P_{M}\) schemes on unstructured meshes for the compressible Navier-Stokes equations
• A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
• A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
• An analysis of the discontinuous Galerkin method for wave propagation problems
• Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
• Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems
• A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids
• Arbitrary high order discontinuous Galerkin schemes

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