21st GAMM-Seminar Leipzig on
Robust Fast Solvers

Max-Planck-Institute for Mathematics in the Sciences
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  21st GAMM-Seminar
January, 26th-28th, 2005
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  Efficient Iterative Solvers for Boundary Element Tearing and Interconnecting Method
GŁnther Of (Univ. Stuttgart)

(joint work with O.Steinbach)

The Boundary Element Tearing and Interconnecting (BETI) methods have recently been introduced in [1] as boundary element counterparts of the well-established Finite Element Tearing and Interconnecting (FETI) methods. As domain decomposition methods, the BETI methods are efficient parallel solvers for large scale boundary element equations. Several systems of linear equations for the BETI formulation, namely a Schur complement system, a saddle point problem and a twofold saddle point problem, are discussed and compared to each other. In addition, different iterative solvers are used. Efficient preconditioners are used for the local boundary integral operators and the realization of BETI preconditioners is discussed. Sparse approximations of the occurring boundary integral operators are realized by the use of the Fast Multipole Method.

[1] U. Langer, O. Steinbach, Boundary element tearing and interconnecting methods, Computing 71 (2003), 205-228.

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Concept, Design and Realisation
[O->]Jens Burmeister (Uni Kiel), Kai Helms (MPI Leipzig)
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