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A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions |
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| Authors: | Dietmar Krö ner Mario Ohlberger |
| Institution: | Institut für Angewandte Mathematik, Universität Freiburg, Herrmann-Herder-Str. 10, 79104 Freiburg, Germany ; Institut für Angewandte Mathematik, Universität Freiburg, Herrmann-Herder-Str. 10, 79104 Freiburg, Germany |
| Abstract: | In this paper we shall derive a posteriori error estimates in the  -norm for upwind finite volume schemes for the discretization of nonlinear conservation laws on unstructured grids in multi dimensions. This result is mainly based on some fundamental a priori error estimates published in a recent paper by C. Chainais-Hillairet. The theoretical results are confirmed by numerical experiments. |
| Keywords: | A posteriori error estimates conservation laws finite volume schemes adaptive methods unstructured grids |
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