Error estimate for the approximation of nonlinear conservation laws on bounded domains by the finite volume method

Ohlberger, Mario; Vovelle, Julien

doi:10.1090/S0025-5718-05-01770-9

Error estimate for the approximation of nonlinear conservation laws on bounded domains by the finite volume method
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by Mario Ohlberger and Julien Vovelle;

Math. Comp. 75 (2006), 113-150

DOI: https://doi.org/10.1090/S0025-5718-05-01770-9

Published electronically: August 12, 2005

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Abstract:

In this paper we derive a priori and a posteriori error estimates for cell centered finite volume approximations of nonlinear conservation laws on polygonal bounded domains. Numerical experiments show the applicability of the a posteriori result for the derivation of local adaptive solution strategies.

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