基于快速有限元法的复杂结构散射分析

Bingqi Liu, Li Xu, Si-Yi Yang, Bin Li
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引用次数: 0

摘要

提出了一种分析复杂结构散射的高阶矢量有限元方法。大型稀疏复线性系统方程的求解是有限元法中内存最大、耗时最长的部分。为了有效地求解有限元散射问题,采用Krylov子空间迭代法求解有限元矩阵,并进一步引入p型多网格预处理方法作为迭代法的前置条件。最后,通过数值算例验证了该方法的可靠性和有效性。
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The Scattering Analysis of Complex Structure based on Fast Finite Element Method
A high order vector finite element method to analyze the scattering of complex structure is considered. The solution of large sparse complex linear system equation is the most memory and time consuming part of the finite element method (FEM). In order to solve the scattering problems by FEM efficiently, we use Krylov subspace iterative method to solve the FEM matrix and further introduce the p-type multigrid preconditioning method as the preconditioner of the iterative method. Finally, some numerical examples are presented to show the reliability and efficiency of the method in this paper.
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