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| Edge-Element Partitioning Domain Decomposition Method for Electromagnetic Problems |
| Lü Zhi-qing①; An Xiang②; Hong Wei① |
| ①State Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, China; ②State Key Laboratory of Antenna and Microwave Technology, Xidian University, Xi’an 710071, China |
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Abstract A fast domain decomposition method is presented for the solution of electromagnetic problems arising in three-dimensions. The original computation domain is meshed and decomposed into several nonoverlapping subdomains by edge-element partitioning technique, which yields a capacitance matrix. Once the unknowns on the interfaces between subdomains have been obtained through the capacitance matrix, the interior unknown fields in each subdomain can be computed with vector finite element method in parallel. Compared with the conventional numerical methods, such as finite element method, method of moments, the present method can greatly reduce the computational complexity and the storage requirement. A preconditioned Krylov subspace method is also developed to accelerate the convergence of the capacitance matrix, and improve the efficiency further. The validity and computational efficiency have been verified by numerical examples.
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Received: 05 September 2005
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2007, Vol. 29 
