Convergence of the Finite Volume Method for Multidimensional Conservation Laws

We establish the convergence of the finite volume method applied to multidimensional hyperbolic conservation laws and based on monotone numerical flux-functions. Our technique applies with a fairly unrestrictive assumption on the triangulations ("flat elements" are allowed) and to Lipschit...

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Veröffentlicht in:	SIAM journal on numerical analysis 1995-06, Vol.32 (3), p.687-705
Hauptverfasser:	Cockburn, B., Coquel, F., Lefloch, P. G.
Format:	Artikel
Sprache:	eng
Schlagworte:	A priori knowledge Applied mathematics Approximation Boundary conditions Boundary value problems Conservation laws Entropy Exact sciences and technology Finite volume method Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Partial differential equations Partial differential equations, initial value problems and time-dependant initial-boundary value problems Polyhedrons Scalars Sciences and techniques of general use Triangulation
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