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Error estimate for the approximation of nonlinear conservation laws on bounded domains by the finite volume method |
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| Authors: | Mario Ohlberger Julien Vovelle |
| Institution: | Abteilung für Angewandte Mathematik, Universität Freiburg, Hermann-Herder-Str.10, D-79104 Freiburg, Germany ; Universite de Provence, CMI, F-13453 Marseille, France |
| 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. |
| Keywords: | Hyperbolic equation initial boundary value problem finite volume method error estimate |
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