Finite volume evolution Galerkin method for hyperbolic conservation laws with spatially varying flux functions

DOI10.1016/j.jcp.2008.10.004zbMath1165.65390OpenAlexW2033521855MaRDI QIDQ1010335

J. Martínez

Publication date: 3 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.10.004

zbMATH Keywords

wave equationfinite volume methodsheterogeneous mediaacoustic wavesbicharacteristicsevolution Galerkin scheme

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for first-order hyperbolic systems (35L45)

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A cell-centered Lagrangian method based on local evolution Galerkin scheme for two-dimensional compressible flows ⋮ The finite volume local evolution Galerkin method for solving the hyperbolic conservation laws ⋮ A characteristics based genuinely multidimensional discrete kinetic scheme for the Euler equations ⋮ Adaptive discontinuous evolution Galerkin method for dry atmospheric flow ⋮ A reconstructed discontinuous Galerkin method for compressible flows in Lagrangian formulation ⋮ Canonical characteristic relation for two dimensional Euler equations ⋮ Finite volume evolution Galerkin methods -- A survey ⋮ Well-balanced bicharacteristic-based scheme for multilayer shallow water flows including wet/dry fronts ⋮ A two-layer hydrostatic-reconstruction method for high-resolution solving of the two-layer shallow-water equations over uneven bed topography

Cites Work

• High order finite difference methods for wave propagation in discontinuous media
• Well-balanced finite volume evolution Galerkin methods for the shallow water equations
• Ray theories for hyperbolic waves, kinematical conservation laws (KCL) and applications
• An evolution Galerkin scheme for the shallow water magnetohydrodynamic equations in two space dimensions
• Finite volume evolution Galerkin methods for nonlinear hyperbolic systems.
• Vorticity-Preserving Lax--Wendroff-Type Schemes for the System Wave Equation
• On the boundary conditions for EG methods applied to the two-dimensional wave equation system
• The numerical solution of hyperbolic systems of partial differential equations in three independent variables
• Euler characteristic Galerkin scheme with recovery
• A Domain Decomposition Method for the Acoustic Wave Equation with Discontinuous Coefficients and Grid Change
• Characteristic Galerkin Schemes for Scalar Conservation Laws in Two and Three Space Dimensions
• Evolution Galerkin methods for hyperbolic systems in two space dimensions
• Finite Volume Methods for Hyperbolic Problems
• Finite Volume Evolution Galerkin Methods for Hyperbolic Systems
• A Wave Propagation Method for Conservation Laws and Balance Laws with Spatially Varying Flux Functions
• On the Stability of Evolution Galerkin Schemes Applied to a Two‐Dimensional Wave Equation System
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