open access

https://hdl.handle.net/2115/46102

Deflation Techniques for Computational Electromagnetism: Theoretical Considerations

英語

AV method

2011-05

IEEE : Institute of Electrical and Electronics Engineers

IEEE Transactions on Magnetics

47(5)

1438-1441

This paper describes deflation of finite element (FE) matrices for electromagnetic fields. The condition of the FE matrices is improved by the matrix deflation which replaces small eigenvalues with zeros. It is known that convergence of linear solvers for FE equations can be improved by using the AV method as well as explicit and implicit error correction (EC) methods which have been derived from the multigrid method. These numerical results are theorized on the basis of the matrix deflation. In particular, augmented matrices appeared in the AV and implicit EC methods are shown to have good conditioning after preconditioning. These results suggest that the above methods are based on a common mathematical principle.

学術雑誌論文

Accepted Manuscript

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0018-9464

1941-0069

AA00667933