A second order explicit finite element scheme to multi-dimensional conservation laws and its convergence

DOI10.1007/BF02879800zbMath0999.65105OpenAlexW1658069724MaRDI QIDQ1609571

Long'an Ying

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02879800

zbMATH Keywords

convergencefinite element methodconservation lawerror estimateentropy solutions

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)

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Cites Work

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• On the Convergence of a Finite Element Method for a Nonlinear Hyperbolic Conservation Law
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• A monotone finite element scheme for convection-diffusion equations
• Convergence of Upwind Finite Volume Schemes for Scalar Conservation Laws in Two Dimensions