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Accuracy barriers in mesh adaptation

Y. Coudière 1 Bernadette Palmerio Alain Dervieux D. Leservoisier
1 SMASH - Simulation, modeling and analysis of heterogeneous systems
CRISAM - Inria Sophia Antipolis - Méditerranée , Université de Provence - Aix-Marseille 1
Abstract : The convergence rate of the approximation of a non-smooth, typically discontinuous function can be made higher than usual when an adaptative mesh refinement strategy is applied (in contrast to the uniform mesh refinemen- t). But, for isotropic mesh refinement, this order can be limited to d/p(d-1) for the L^p norm and a space dimension d.
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Submitted on : Tuesday, May 23, 2006 - 7:40:26 PM
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Y. Coudière, Bernadette Palmerio, Alain Dervieux, D. Leservoisier. Accuracy barriers in mesh adaptation. RR-4528, INRIA. 2002. ⟨inria-00072060⟩

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