Galerkin´s method and the variational procedure

Author

Ziarani, A.K. ; Konrad, A.

Author_Institution

Dept. of Electr. & Comput. Eng., Toronto Univ., Ont., Canada

Volume

38

Issue

1

fYear

2002

fDate

1/1/2002 12:00:00 AM

Firstpage

190

Lastpage

199

Abstract

Galerkin´s method and the variational procedure, when applied to most practical problems in electromagnetics, lead to matrix equations of the same form. Variational procedures for self-adjoint and nonself-adjoint operators also result in the same form of matrix equations for a large subclass of problems. However, the three cases may yield different matrix equations in general. This paper examines the subclass of problems for which these methods result in the same matrix equation and provides systematic ways for classification of problems for which two or all three of the cases lead to the same matrix equation. It also describes properties of the coefficient matrix in the matrix equation

Keywords

Galerkin method; boundary-value problems; eddy currents; finite element analysis; matrix algebra; variational techniques; Galerkin´s method; boundary value problem; eddy current problem; electromagnetics; finite element method; matrix equations; nonself-adjoint operators; self-adjoint operators; variational procedure; Boundary conditions; Councils; Differential equations; Electromagnetics; Finite element methods; Moment methods; Partial differential equations; Strontium; Symmetric matrices; Testing;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.990107

Filename

990107