Characteristic Galerkin Schemes for Scalar Conservation Laws in Two and Three Space Dimensions

DOI10.1137/S0036142993259299zbMath0880.65079MaRDI QIDQ4337464

K. W. Morton, Peixiong Lin, Endre Süli

Publication date: 23 June 1997

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

conservation lawsnumerical examplesunconditional stabilitytotal variation diminishingEuler characteristic Galerkin scheme

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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)

Related Items (6)

On the connection between some Riemann-solver free approaches to the approximation of multi-dimensional systems of hyperbolic conservation laws ⋮ Finite volume evolution Galerkin (FVEG) methods for three-dimensional wave equation system ⋮ Finite volume evolution Galerkin method for hyperbolic conservation laws with spatially varying flux functions ⋮ The Picard Integral Formulation of Weighted Essentially Nonoscillatory Schemes ⋮ Evolution Galerkin methods for hyperbolic systems in two space dimensions ⋮ Finite volume evolution Galerkin methods for nonlinear hyperbolic systems.

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