Performance Evaluation of Parallel Finite-Element Eddy-Current Analysis Using Direct Method as Subdomain Solver

An eddy-current analysis (A-φ method) based on a domain decomposition method is proposed. A conjugate orthogonal conjugate gradient with an incomplete Cholesky factorization method is generally applied to solve the subdomain problems because the matrices become a singular system. However, it is difficult to achieve high-accuracy solutions using iterative methods because the solutions contain truncation errors. Therefore, the authors propose a method of improving the convergence by applying a direct method based on a singular value decomposition as the subdomain solver. As a result, it is thus confirmed that the improvement of convergence can be realized with the direct method. This article describes the proposed method and the performance evaluation with some examinations.