ITERATIVE SOLVERS AND EFFICIENT PRECONDITIONERS FOR DISCRETIZED BOUNDARY INTEGRAL-EQUATIONS

The discretization of boundary integral equations resulting from mixed boundary value problems leads in general to a system of linear equati ons with a spectral condition number depending on the the discretizati on size h. Therefore, the iterative solution by Krylov subspace method s requires the use of an efficient preconditioner. We give a general t echnique to construct such preconditioners arising from related bounda ry integral formulations and we discuss different solution strategies for mixed boundary value problems.