Algebraic multigrid method for nonsymmetric matrices arising in electromagnetic finite-element analyses

• Published in: IEEE transactions on magnetics Vol. 39; no. 3; pp. 1670 - 1673
• Main Authors: Mifune, T., Iwashita, T., Shimasaki, M.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: New York, NY IEEE 01.05.2003; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algebra; Applied classical electromagnetism; Conductors; Electromagnetic analysis; Electromagnetism; electron and ion optics; Equations; Exact sciences and technology; Finite element method; Finite element methods; Fundamental areas of phenomenology (including applications); Linear systems; Magnetic analysis; Magnetism; Magnetohydrodynamic power generation; Magnetostatics; magnetic shielding, magnetic induction, boundary-value problems; Mathematical analysis; Matrices; Matrix methods; Multigrid methods; Performance analysis; Physics; Solvers; Symmetric matrices; Finite element method; finite-element methods; Magnetohydrodynamics; Magnetostatics; Digital simulation; Theoretical study; MHD; AMG; eddy-current analyses; Eddy currents
• ISSN: 0018-9464; 1941-0069
• DOI: 10.1109/TMAG.2003.810349

Algebraic multigrid (AMG) methods were originally developed for linear systems of equations with symmetric coefficient matrices. The objective of this paper is to investigate the applicability of the AMG solvers in electromagnetic finite-element analyses, which lead to nonsymmetric matrices. The excellent performances of the AMG solvers are demonstrated in (two-dimensional and three-dimensional) electromagnetic analyses of a magnetohydrodynamic generator and in a three-dimensional eddy-current analysis including a moving conductor.