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A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions
Author(s):
Dietmar
Kröner;
Mario
Ohlberger.
Abstract | Similar articles | Additional information
Abstract:
In this paper we shall derive a posteriori error estimates in the
Retrieve articles in Mathematics of Computation with MSC (1991): 65M15, 35L65, 76M25 Retrieve articles in all Journals with MSC (1991): 65M15, 35L65, 76M25
Dietmar
Kröner
Mario
Ohlberger
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-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. 