Accuracy investigations of boundary element methods for the solution of Laplace equations

Boundary element methods are approved methods for the numerical solution of Laplace equations. Here, the solution of electrostatic field problems, steady current flow field problems, and magnetostatic field problems is considered. Focus of this paper is on investigations of accuracy of direct formulations that are based on Green's theorem. Different types of coupling of computational domains are examined with respect to accuracy and convergence behavior of the iterative solver. Furthermore, the influence of singular integrals and matrix compression techniques to the accuracy of the solution is observed