Preconditioned Symmetric Linear BCG Method for Solving FEM Electromagnetism Problems

Article Preview

Abstract:

A new preconditioning technique for solving large linear systems arising from edge-based finite element method (FEM) analysis of three-dimensional (3-D) electromagnetic problems is presented. This method is achieved by applying a shifted-Laplace operator scheme and sparse approximate inverse to symmetric linear BCG (LBCG). The main purpose is to generate a more robust and efficient preconditioner. Numerical results on several electromagnetic problems show that, by comparing with other conventional preconditioning techniques, this technique is more efficient and robust, and can greatly reduce the simulation time.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

610-614

Citation:

Online since:

November 2012

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Y.H. Li, Z.P. Nie, and X.Y. Sun: J. of Electromagn. Waves and Appl., Vol. 23 (2009), p.2237.

Google Scholar

[2] M. Benzi, M. Tuma, and J.K. Cullum: SIAM J. Sci. Comput. Vol. 22 (2000), p.1318.

Google Scholar

[3] Y.A. Erlangga, C.W. Oosterlee, C. Vuik : SIAM J. Sci. Comput., Vol. 27 (2006), p.1471.

Google Scholar

[4] J. Zhu, X.W. Ping, R.S. Chen, Z.H. Fan, D.Z. Ding: Microw. Opt. Technol. Lett., Vol 52 (2010), p.1036.

Google Scholar

[5] Y.C. Shih: IEEE Trans. Microwave Theory Tech., Vol 32 (1984), p.695.

Google Scholar

[6] A. Chatterjee, J.M. Jin, J.L. Volakis: IEEE Trans. Antennas Propag., Vol 41 ( 1993), p.221.

Google Scholar