A Mixed Solving Procedure for Ungauged 3d Edge Finite Element Analysis

Cingoski, Vlatko and Yamashita, Hideo (1995) A Mixed Solving Procedure for Ungauged 3d Edge Finite Element Analysis. IEEE Transactions on magnetics, 31 (3). pp. 1702-1705.

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Abstract

A new mixed procedure for solving the system of algebraic equations generated by the edge finite elements method (EFEM) for ungauged vector potential formulation is proposed. The signularity of the matrix of the system obtained by ungauged vector for mlation results in unstable and nonuniform convergence rates of the Preconditioned Conjugate Gradient (PCG) iteration procedure. The proposed method uses the excellent initial convergence rate of the PCG procedure, and enables switching from the PCG procedure, and enables switching from the PCG procedure, and enables switching from PCG procedure to the Gauss - Seidel procedure when numerical instability of the former method occurs, continuing with a slower but more stable convergence rate. The proposed mixed PCG Gauses - Seidel procedure requires monitoring of the PCG iteration process , however, it does not require generation of tree graphs, rearranging of unknowns inside the matrix of the system nor any additional memory.

Item Type: Article
Subjects: Engineering and Technology > Electrical engineering, electronic engineering, information engineering
Engineering and Technology > Other engineering and technologies
Divisions: Faculty of Electrical Engineering
Depositing User: Vlatko Cingoski
Date Deposited: 17 Dec 2012 12:44
Last Modified: 30 Sep 2013 10:04
URI: http://eprints.ugd.edu.mk/id/eprint/3814

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