期刊
SIAM JOURNAL ON SCIENTIFIC COMPUTING
卷 32, 期 6, 页码 3584-3603出版社
SIAM PUBLICATIONS
DOI: 10.1137/090777220
关键词
Maxwell's equations; nonoverlapping domain decomposition; finite elements; transmission conditions
资金
- Ansoft Corporation
- Northrop Grumman Corporation
Nonoverlapping domain decomposition methods have been shown to provide efficient iterative algorithms for the solution of the time-harmonic Maxwell's equations. Convergence of the algorithms depends strongly upon the nature of the transmission conditions that communicate information between adjacent subdomains. In this work, we introduce a new second order transmission condition that improves convergence. In contrast to previous high order interface conditions, the new condition uses two second order transverse derivatives to improve the convergence of evanescent modes without deteriorating the convergence of propagating modes. An analysis using a splitting of the field into traverse electric and magnetic components demonstrates the improved convergence provided by the transmission condition. Numerical experiments demonstrate the effectiveness of the algorithm.
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