Preconditioners and their analyses for edge element saddle-point systems arising from time-harmonic Maxwell’s equations
Publication in refereed journal
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香港中文大學研究人員
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摘要We derive and propose a family of new preconditioners for the saddle-point systems arising from the edge element discretization of the time-harmonic Maxwell’s equations in three dimensions. With the new preconditioners, we show that the preconditioned conjugate gradient method can apply for the saddle-point systems when wave numbers are smaller than a positive critical number, while the iterative methods like the preconditioned MINRES may apply when wave numbers are larger than the critical number. The spectral behaviors of the resulting preconditioned systems for some existing and new preconditioners are analyzed and compared, and several two-dimensional numerical experiments are presented to demonstrate and compare the efficiencies of these preconditioners.
出版社接受日期21.01.2020
著者Ying Liang, Hua Xiang, Shiyang Zhang, Jun Zou
期刊名稱Numerical Algorithms
詳細描述22 pages
出版年份2020
出版社Springer
國際標準期刊號1017-1398
電子國際標準期刊號1572-9265
語言美式英語
關鍵詞Time-harmonic Maxwell’s equations, Saddle-point system, Preconditioners

上次更新時間 2020-22-09 於 01:27