Large time step finite volume evolution Galerkin methods

DOI10.1007/s10915-010-9443-5zbMath1221.65232OpenAlexW2081417451MaRDI QIDQ554676

F. Prill, Mária Lukáčová-Medvid'ová, Anna Hundertmark-Zaušková

Publication date: 4 August 2011

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

Full work available at URL: https://doi.org/10.1007/s10915-010-9443-5

zbMATH Keywords

numerical examplesshallow water equationslarge time stepsteady stateswell-balanced schemesevolution Galerkin schemessemi-implicit approximationsystems of hyperbolic balance lawsbicharacteristicfinite volume evolution Galerkin (FVEG)finite volume evolution Galerkin schemes

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items

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Uses Software

• UMFPACK

Cites Work

• Unnamed Item
• Well-balanced finite volume evolution Galerkin methods for the shallow water equations
• Stabilized residual distribution for shallow water simulations
• The finite volume local evolution Galerkin method for solving the hyperbolic conservation laws
• Evolution Galerkin methods for hyperbolic systems in two space dimensions
• Asymptotic based preconditioning technique for low Mach number flows
• Algorithm 832