Optimized Schwarz waveform relaxation and discontinuous Galerkin time stepping for heterogeneous problems.

Abstract : We design and analyze a Schwarz waveform relaxation algorithm for domain decomposition of advection-diffusion-reaction problems with strong heterogeneities. The interfaces are curved, and we use optimized Robin or Ventcell transmission conditions. We analyze the semi-discretization in time with Discontinuous Galerkin as well. We also show two-dimensional numerical results using generalized mortar finite elements in space.
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https://hal-univ-paris13.archives-ouvertes.fr/hal-00479814
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Submitted on : Sunday, June 13, 2010 - 8:03:35 PM
Last modification on : Wednesday, November 20, 2019 - 2:19:46 AM
Long-term archiving on: Friday, September 17, 2010 - 11:17:19 AM

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  • HAL Id : hal-00479814, version 1
  • ARXIV : 1006.2601

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Laurence Halpern, Jérémie Szeftel, Caroline Japhet. Optimized Schwarz waveform relaxation and discontinuous Galerkin time stepping for heterogeneous problems.. 2010. ⟨hal-00479814⟩

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