Abstract

The symmetric formulation of boundary integral equations is well suited to solve mixed boundary value problems by boundary element methods based on a Galerkin approximation. This leads to a skew-symmetric and positive definite system of linear equations, which may be solved by different solution strategies via iterative schemes. We give optimal preconditioners based on an operator approach, which are in general usable for boundary element methods based on the symmetric formulation. Alternatively, one may use Toeplitz type preconditioners, too. In the end, a numerical example for a mixed boundary value problem in plane linear elasticity is given.

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