Low-Frequency Full-Wave Finite Element Modeling Using the LU Recombination Method
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Low-Frequency Full-Wave Finite Element Modeling Using the LU Recombination Method摘要
In this paper, the low-frequency instability of full-wave finite element methods (FEM) is investigated. The curl part of the FEM matrix is shown to be singular. The paper explains how low-frequency instabilities are related to this singularity. Based on this analysis, an LU recombination method is implemented in FEM to solve the low-frequency problem. This method, which has previously been applied to the method of moments (MOM), reduces the errors in the curl part of the matrix and enforces the correct gauge condition. Moreover, the method is restructured to work more efficiently for sparse finite element matrices.
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