Additive Schwarz preconditioners for a fully-discrete and symmetric boundary element method

Thanh Tran

Abstract


We discuss various additive Schwarz preconditioners for a fully-discrete and symmetric boundary element method when used to solve a Dirichlet problem in the plane. These preconditioners work in the same way as when they are used for the Galerkin boundary element method: the condition numbers of the preconditioned stiffness matrices grow at most logarithmically with the degree of freedom. Several numerical results are presented to support the theory.

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DOI: http://dx.doi.org/10.21914/anziamj.v42i0.652



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.