Hyperbolic conservation laws on manifolds. An error estimate for finite volume schemes

DOI10.1007/s10114-009-8090-yzbMath1178.35251arXiv0807.4640OpenAlexW2048640739MaRDI QIDQ839726

Baver Okutmustur, Wladimir Neves, Philippe G. LeFloch

Publication date: 3 September 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.4640

zbMATH Keywords

entropy solutionconvergence ratefinite volume schemediscrete entropy inequality

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Theoretical approximation in context of PDEs (35A35) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Hyperbolic equations on manifolds (58J45)

Related Items (10)

Intrinsic finite element method for advection-diffusion-reaction equations on surfaces ⋮ Hyperbolic conservation laws on the sphere. A geometry-compatible finite volume scheme ⋮ Hyperbolic Conservation Laws on Spacetimes ⋮ Traces for Functions of Bounded Variation on Manifolds with Applications to Conservation Laws on Manifolds with Boundary ⋮ Late-time asymptotic behavior of solutions to hyperbolic conservation laws on the sphere ⋮ Well-posedness theory for stochastically forced conservation laws on Riemannian manifolds ⋮ Geometric error of finite volume schemes for conservation laws on evolving surfaces ⋮ A Finite Volume Method for the Relativistic Burgers Equation on a FLRW Background Spacetime ⋮ A geometric approach to error estimates for conservation laws posed on a spacetime ⋮ Coupling techniques for nonlinear hyperbolic equations. IV. Well-balanced schemes for scalar multi-dimensional and multi-component laws

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