DocumentCode
1514230
Title
Algebraic multigrid method for solving FEM matrix equations for 3D static problems
Author
Polstyanko, Sergey V. ; Peng, Guanghua ; Lee, Jin-Fa
Author_Institution
Ansoft Corp., Pittsburgh, PA, USA
Volume
35
Issue
3
fYear
1999
fDate
5/1/1999 12:00:00 AM
Firstpage
1183
Lastpage
1186
Abstract
An implementation of the algebraic multigrid method and its application for solving matrix equations arising from 3D FEM static analysis are addressed. The method, which is based on multigrid principles, is designed to solve such problems efficiently by using only the information contained in the matrix equation itself without any geometrical background. A number of numerical experiments have been conducted to study the complexity of the algorithm as well as its convergence behavior
Keywords
capacitors; finite element analysis; iterative methods; linear differential equations; matrix algebra; 3D static problems; FEM matrix equations; algebraic multigrid method; convergence behavior; iterative solution; numerical experiments; parallel plate capacitor; Convergence of numerical methods; Difference equations; Differential equations; Finite difference methods; Finite element methods; Frequency; Iterative methods; Multigrid methods; Partial differential equations; Sparse matrices;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/20.767160
Filename
767160
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