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PIER PIER B PIER C PIER M PIER Letters
2009-08-06
An Efficient Approach for Multifrontal Algorithm to Solve Non-Positive-Definite Finite Element Equations in Electromagnetic Problems
By
Jin Tian,

    Dr. Jin Tian

    School of Electronic Engineering

    Xidian University

    China

    Homepage

Zhi-Qing Lv,

    Dr. Zhi-Qing Lv

    Xidian University

    China

    Homepage

Xiao-Wei Shi,

    Professor Xiao-Wei Shi

    School of Electronics Engineering

    Xidian University

    China

    Homepage

Le Xu,

    Dr. Le Xu

    Xidian University

    China

    Homepage

Feng Wei

    Prof. Feng Wei

    Xidian University

    China

    Homepage

Progress In Electromagnetics Research, Vol. 95, 121-133, 2009
doi:10.2528/PIER09070207
Abstract
A new method called Expanded Cholesky Method (ECM) is proposed in this paper. The method can be used to decompose sparse symmetric non-positive-definite finite element (FEM) matrices. There are some advantages of the ECM, such as low storage, simplicity and easy parallelization. Based on the method, multifrontal (MF) algorithm is applied in non-positive-definite FEM computation. Numerical results show that the hybrid ECM/MF algorithm is stable and effective. In comparison with Generalized Minimal Residual Method (GMRES) in FEM electromagnetic computation, hybrid ECM/MF technology has distinct advantages in precision. The proposed method can be used to calculate a class of non-positive-definite electromagnetic problems.
Citation
Jin Tian, Zhi-Qing Lv, Xiao-Wei Shi, Le Xu, and Feng Wei, "An Efficient Approach for Multifrontal Algorithm to Solve Non-Positive-Definite Finite Element Equations in Electromagnetic Problems," Progress In Electromagnetics Research, Vol. 95, 121-133, 2009.
doi:10.2528/PIER09070207
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