Fast electromagnetic Field Computations Using Multigrid Method Based on Nested Finite Elements Meshes

Cingoski, Vlatko and Yamashita, Hideo (1999) Fast electromagnetic Field Computations Using Multigrid Method Based on Nested Finite Elements Meshes. 7 th International Journal of Theoretical Electrotechnics. pp. 6-11. ISSN 1562-5370

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Abstract

In this paper the investigation of the efficiency multigrid method as a solution method for large system of algebraic equations that arise from ordinary finite element analysis is presented. The mathematical background for multigrid methods and some points regarding definition of restriction and prolongation matrices for multigrid finite element analysis based on nested meshes are also given. The convergence rate and computation speed od=f the V-cycle and W-cycle multigrid algorithms are discussed and compared with the ordinary ICCG method, A comparison of the computation speed between multigrid method and the ICCG method is also presentedm showing that the multigrid method is very promising as a fast and accurate solution method is very promising as a fast and accurate solution method for large systems of equations or as a solution method for adaptive finite element computations.

Item Type: Article
Uncontrolled Keywords: First element method, multigrid methods, magnetostatics, iterative methods =, relaxation methods, linear algebra
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 07:20
Last Modified: 30 Sep 2013 10:02
URI: http://eprints.ugd.edu.mk/id/eprint/3644

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