ITERATIVE SUBSTRUCTURING FOR HYPERSINGULAR INTEGRAL-EQUATIONS IN R-3

We study a preconditioner for the h-version of the boundary element me thod for hypersingular integral equations in three dimensions. Our pre conditioner is based on iterative substructuring which forms an import ant part of the domain decomposition technique. We prove a bound for t he improved condition numbers which behaves polylogarithmically in H/h . Here H is the size of the subdomains and h is the size of the elemen ts used to construct the boundary element spaces. Numerical results wh ich support our theory are reported.