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Optimized Schwarz methods without overlap for highly heterogeneous media

机译:优化的Schwarz方法,没有重叠,适用于高度异构的介质

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摘要

In this paper an original variant of the Schwarz domain decomposition method is introduced for heterogeneous media. This method uses new optimized interface conditions specially designed to take into account the heterogeneity between the sub-domains on each sides of the interfaces. Numerical experiments illustrate the dependency of the proposed method with respect to several parameters, and confirm the robustness and efficiency of this method based on such optimized interface conditions. Several mesh partitions taking into account multiple cross points are considered in these experiments.
机译:在本文中,针对异质媒体介绍了Schwarz域分解方法的原始变体。此方法使用经过专门设计的新的优化接口条件,以考虑到接口每一侧子域之间的异质性。数值实验说明了该方法相对于几个参数的依赖性,并基于这种优化的界面条件证实了该方法的鲁棒性和效率。在这些实验中考虑了考虑多个交叉点的几个网格划分。

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