Nonconforming Discretization Techniques for Overlapping Domain Decompositions

Bernd Flemisch (), Michael Mair () and Barbara Wohlmuth ()
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Bernd Flemisch: Inst. for Appl. Analysis and Num. Simulation
Michael Mair: Inst. for Appl. Analysis and Num. Simulation
Barbara Wohlmuth: Inst. for Appl. Analysis and Num. Simulation

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 316-325 from Springer

Abstract: Summary 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.

Keywords: Unique Solvability; Saddle Point Problem; Nest Domain; Global Domain; Continuous Bilinear Form (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_29

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DOI: 10.1007/978-3-642-18775-9_29

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