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Performance Evaluation of Parallel Finite-Element Eddy-Current Analysis Using Direct Method as Subdomain Solver
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An eddy-current analysis ( $A$ - $\phi $ method) based on a domain decomposition method is proposed. A conjugate orthogonal conjugate gradient with an incomplete Cholesky factorization method is generally… Click to show full abstract
An eddy-current analysis ($A$ -$\phi $ 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.
