电磁波工具分析的预条件共轭梯度法

2006 7th International Symposium on Antennas, Propagation & EM Theory Pub Date : 2006-10-01 DOI:10.1109/ISAPE.2006.353539

Aixin Chen, Huijuan Zuo, Aihong Chen, D. Su

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引用次数: 0

摘要

在有限元法中，矩阵方程的求解可以采用直接消去法，也可以采用迭代法。共轭梯度法(CG)是一种常用的迭代法。但它的应用有几个限制。为了克服这一缺点，本文提出了一种基于不完全Cholesky分解的预条件共轭梯度(PCG)方法。并将该方法应用于某电磁波工具的分析。

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Preconditioned Conjugate Gradient Method for the Analysis of an Electromagnetic Wave Tool

In the finite element method (FEM), the matrix equation can be solved either using a direct elimination method or an iterative method. The conjugate gradient (CG) is a common-used iterative method. But there are several limits in its application. In order to overcome the disadvantages, a preconditioned conjugate gradient (PCG) method based on the incomplete Cholesky decomposition is introduced in this paper. And this PCG method is applied to the analysis of an electromagnetic wave tool.

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2006 7th International Symposium on Antennas, Propagation & EM Theory

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