標題: A NULL SPACE FREE JACOBI-DAVIDSON ITERATION FOR MAXWELL'S OPERATOR
作者: Huang, Yin-Liang
Huang, Tsung-Ming
Lin, Wen-Wei
Wang, Wei-Cheng
應用數學系
Department of Applied Mathematics
關鍵字: time harmonic Maxwell's equations;Yee's scheme;edge elements;generalized eigenvalue problem;discrete vector potential;discrete deRham complex;Poincare Lemma;Jacobi-Davidson method
公開日期: 1-一月-2015
摘要: We present an efficient null space free Jacobi-Davidson method to compute the positive eigenvalues of time harmonic Maxwell's equations. We focus on a class of spatial discretizations that guarantee the existence of discrete vector potentials, such as Yee's scheme and the edge elements. During the Jacobi-Davidson iteration, the correction process is applied to the vector potential instead. The correction equation is solved approximately as in the standard Jacobi-Davidson approach. The computational cost of the transformation from the vector potential to the corrector is negligible. As a consequence, the expanding subspace automatically stays out of the null space and no extra projection step is needed. Numerical evidence confirms that the proposed scheme indeed outperforms the standard and projection-based Jacobi-Davidson methods by a significant margin.
URI: http://dx.doi.org/10.1137/140954714
http://hdl.handle.net/11536/124599
ISSN: 1064-8275
DOI: 10.1137/140954714
期刊: SIAM JOURNAL ON SCIENTIFIC COMPUTING
Volume: 37
Issue: 1
起始頁: 0
結束頁: 0
顯示於類別:期刊論文


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