Error Estimates of a First-order Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations

DOI10.1137/140990863zbMath1336.65165OpenAlexW2229134066MaRDI QIDQ3462477

Bojan Popov, Jean-Luc Guermond

Publication date: 15 January 2016

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

Full work available at URL: http://hdl.handle.net/1969.1/180686

zbMATH Keywords

entropyconvergence analysisfinite element methodentropy solutionsparabolic regularizationconservation equations

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) 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) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items

Invariant Domains and First-Order Continuous Finite Element Approximation for Hyperbolic Systems ⋮ Invariant Domains and Second-Order Continuous Finite Element Approximation for Scalar Conservation Equations

Uses Software

• SHASTA

Cites Work

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