Domain Decomposition for 3-D Nonlinear Magnetostatic Problems: Newton–Krylov–Schur Versus Schur–Newton–Krylov Methods

Domain decomposition is a strategy designed to be used on parallel machines. This strategy leads to hybrid methods between direct and iterative solvers and allows users to benefit from the advantages of both. Lately, the growing size of simulations in electromagnetics brought to light the interest of using domain decomposition. Nonlinearity is also one of the problem specificities where the need for an efficient solver is high. This article provides a comparison between two techniques of domain decomposition for solving 3-D nonlinear magnetostatic problems. A contactor test case with two nonlinear materials was used to estimate the performances of both methods.