Nonlinear simulation of electromagnetic fields with domain decomposition methods on MIMD parallel computers

An efficient domain decomposition (DD) algorithm for solving nonlinear boundary value problems on multiple instruction multiple data parallel computers is presented. The linearization is done by Newtonʹs method, and the linear system is solved by CG with DD preconditioning. Further, the DD approach allows finite element and Galerkin boundary element methods to be combined in a unifled variational problem. Test computations on a transputer-based system were performed for both model problems and a real-life electric motor.