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

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

2010-06-14

arxiv.org/abs/1006.2601v1

Mathematics

Numerical Analysis

Scientific paper

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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