Summary

International Symposium on Antennas and Propagation

2013

Session Number:WP-C

Session:

Number:WP-C-11

A Two-Level Spectral Preconditioning for the Finite Element Method

Zi He,  Weiying Ding,  Ningye He,  Rushan Chen,  

pp.-

Publication Date:2013/10/22

Online ISSN:2188-5079

DOI:10.34385/proc.54.WP-C-11

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Summary:
An efficient auxiliary space preconditioning (ASP) was proposed for the linear matrix equation that was formed by the frequency-domain finite element method. A new two-level spectral preconditioning utilizing auxiliary space preconditioning is presented to solve the linear system. This technique is a combination of ASP and a low-rank update spectral preconditioning, in which the restarted deflated generalized minimal residual GMRES with the newly constructed spectral two-step preconditioning is considered as the iterative method for solving the system. Numerical experiments indicate that the proposed preconditioning is efficient and can significantly reduce the iteration number.