Speaker: Olaf Steinbach

Abstract

Domain decomposition methods are usually based on the solution of local boundary value problems to perform the corresponding Dirichlet to Neumann maps. When using boundary integral equations the associated Steklov-Poincare operators can be defined via boundary potentials only. The discretisation afterwards can be realised by fast boundary element methods such as the fast multipole approach or by using hierarchical matrices.

In this talk we give an overview on different formulations of boundary element domain decomposition methods and we will discuss the efficiency of the resulting algorithms and we will include several applications.

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