Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system

DOI10.1515/156939503322553108zbMath1057.65067OpenAlexW4241442913MaRDI QIDQ4463632

Gerald Warnecke, Yousef Zahaykah, Mária Lukáčová-Medvid'ová

Publication date: 27 May 2004

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: http://tubdok.tub.tuhh.de/handle/11420/130

zbMATH Keywords

wave equationfinite volume methodnumerical exampleshyperbolic systemserror boundsevolution Galerkin schemesrecovery stage

Mathematics Subject Classification ID

Wave equation (35L05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items

On evolution Galerkin methods for the Maxwell and the linearized Euler equations. ⋮ Active flux methods for hyperbolic systems using the method of bicharacteristics ⋮ An evolution Galerkin scheme for the shallow water magnetohydrodynamic equations in two space dimensions ⋮ Finite volume evolution Galerkin (FVEG) methods for three-dimensional wave equation system

Cites Work

• On evolution Galerkin methods for the Maxwell and the linearized Euler equations.
• On the construction of essentially non-oscillatory finite volume approximations to hyperbolic conservation laws on general triangulations: Polynomial recovery, accuracy and stencil selection
• Finite volume evolution Galerkin methods for nonlinear hyperbolic systems.
• Evolution Galerkin methods for hyperbolic systems in two space dimensions
• Finite volume evolution Galerkin methods for Euler equations of gas dynamics
• The Remainder of Certain Linear Approximation Formulas in Two Variables
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