Nonconforming Discretization Techniques for Overlapping Domain Decompositions
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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