Boundary and Finite Element Domain Decomposition Methods

U. Langer ()
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U. Langer: Johannes Kepler University Linz, Institute for Computational Mathematics

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 15-26 from Springer

Abstract: Abstract Since Boundary Element (BE) Methods and Finite Element (FE) Methods exhibit certain complementary properties, it is sometimes very useful to couple these discretization techniques within a Domain Decomposition (DD) framework. We give a short review of the symmetric coupling technique and of primal, dual and dual-primal iterative substructuring solvers for coupled FE-BE equations. The boundary and interface concentrated FE methods have some features in common with data-sparse BE methods, but their applicability is far wider. We present primal and dual iterative substructuring solvers which exhibit the same complexity as the corresponding data-sparse BE solvers. Finally, we use the BE DD technology in order to construct FE approximations on polygonal and polyhedral meshes.

Keywords: Boundary Element; Boundary Element Method; Domain Decomposition; Domain Decomposition Method; Fast Multipole Method (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-69777-0_2

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DOI: 10.1007/978-3-540-69777-0_2

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