Stability and Convergence of a Class of Finite Element Schemes for Hyperbolic Systems of Conservation Laws

DOI10.1137/S0036142902420436zbMath1127.65066MaRDI QIDQ4653913

Christos Arvanitis, Athanassios E. Tzavaras, Charalambos G. Makridakis

Publication date: 1 March 2005

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

zbMATH Keywords

stabilityconvergencefinite elementhyperbolic conservation lawsadaptive schemes

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (9)

Entropy dissipation of moving mesh adaptation ⋮ Adaptive mesh reconstruction for hyperbolic conservation laws with total variation bound ⋮ Mesh redistribution strategies and finite element schemes for hyperbolic conservation laws ⋮ Structural properties of stress relaxation and convergence from viscoelasticity to polyconvex elastodynamics ⋮ Error Estimates for well-balanced and time-split schemes on a locally damped wave equation ⋮ ENTROPY CONSERVATIVE SCHEMES AND ADAPTIVE MESH SELECTION FOR HYPERBOLIC CONSERVATION LAWS ⋮ A Posteriori Analysis of Fully Discrete Method of Lines Discontinuous Galerkin Schemes for Systems of Conservation Laws ⋮ A Posteriori Analysis of Discontinuous Galerkin Schemes for Systems of Hyperbolic Conservation Laws ⋮ Stability and convergence of relaxation schemes to hyperbolic balance laws via a wave operator

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