Nonconforming Discretization Techniques for Overlapping Domain Decompositions
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For the numerical solution of coupled problems on two nested domains, two meshes are used which are completely independent to each other. Especially in the case of a moving subdomain, this leads to a great flexibility for employing different meshsizes, discretizations or model equations on the two domains. We present a general setting for these problems in terms of saddle point formulations, and investigate one- and bi-directionally coupled applications.
KeywordsUnique Solvability Saddle Point Problem Nest Domain Global Domain Continuous Bilinear Form
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