Two-level additive Schwartz preconditioners for the h-p version of the Galerkin boundary element method for 2-d problems
We study two-level additive Schwarz preconditioners for the h-p version of the Galerkin boundary element method when used to solve hypersingular integral equations of the first kind, which arise from the Neumann problems for the Laplacian in two dimensions. Overlapping and non-overlapping methods are considered. We prove that the non-overlapping preconditioner yields a system of equations having a condition number bounded by c(1 + logp)2 maxi(1 + logHi/hi) where Hi is the length of the i-th...[Show more]
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