Hyperbolic conservation laws on spacetimes. A finite volume scheme based on differential forms
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Publication:3634374
zbMath1178.35250arXiv0810.0255MaRDI QIDQ3634374
Baver Okutmustur, Philippe G. LeFloch
Publication date: 25 June 2009
Full work available at URL: https://arxiv.org/abs/0810.0255
Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items (10)
Hyperbolic conservation laws on manifolds. An error estimate for finite volume schemes ⋮ Hyperbolic Conservation Laws on Spacetimes ⋮ 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 ⋮ Finite volume approximation of the relativistic Burgers equation on a Schwarzschild--(anti-)de Sitter spacetime ⋮ A geometric approach to error estimates for conservation laws posed on a spacetime ⋮ Convergence of the finite volume method on a Schwarzschild background ⋮ Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary ⋮ Coupling techniques for nonlinear hyperbolic equations. IV. Well-balanced schemes for scalar multi-dimensional and multi-component laws
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