子域精细积分方法在求解Maxwell方程组中的应用分析

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Abstract In this paper, the sub-domain precise integration method is used to solve Maxwell’s equations. Firstly, the main domain is divided into sub-domains, and then for each time-step, the precise integration method is used to solve Maxwell’s equations in each sub-domain, lastly the main domain solution is derived by combining the results of all sub-domains. In detail discussion, the principle for dividing sub-domain is proposed and the combination method of sub-domain results is given. Furthermore, boundary condition of sub-domains is obtained based on Taylor’s series and the Gaussian integration is used to solve the inhomogeneous integration. Since the method presented avoids matrix inversion and reduces matrix order, data exchange and storage quantity and computing time are reduced. In conclusion, the practicality and effectiveness of these methods are illustrated by examples.

Key words： Sub-domain precise integration method sub-domain boundary Gauss integration Maxwell’s equations

Received: 17 November 2008 Published: 04 March 2014

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TM15

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	Bai Zhongming
	Zhao Yanzhen
	Ma Xikui

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Bai Zhongming,Zhao Yanzhen,Ma Xikui. Analysis and Application of Sub-Domain Precise Integration Method for Solving Maxwell’s Equations[J]. Transactions of China Electrotechnical Society, 2010, 25(4): 1-11.

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http://dgjsxb.ces-transaction.com/EN/ OR http://dgjsxb.ces-transaction.com/EN/Y2010/V25/I4/1

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