High performance electromagnetic analysis software based on fast multigrid solver

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In this research, we develop several fast linear solvers based on multigrid methods, which is effective to large-scale computation, to establish a high performance electromagnetic analysis software utilized in the development and design of various electrical equipment. The main results are the devisal and development of algebraic multigrid solvers for electromagnetic edge-element analysis, a parallel multigrid solver that enable a large-scale analysis involving more than 0.8 billion degrees of freedom, and the folded preconditioning technique that is effective to apply iterative solvers to singular systems of equations.