We study additive Schwarz methods (two level and multilevel) for theh-version boundary element method. Both weakly singular and hypersingular integral equations of the first kind are considered. We prove that the condition numbers of the additive Schwarz operators are bounded independently of the number of levels and number of mesh points. Thus we show that the additive Schwarz method as a parallel preconditioner, which was originally designed for finite element discretisation of differential equations, is also an efficient solver for boundary integral operators, which are non-local operators.
展开▼
