Complementary solutions of direct current flow problems

Author

Rikabi, Jafar A H

Author_Institution

Dept. of Electr. Eng., Univ. of Technol., Baghdad, Iraq

Volume

29

Issue

1

fYear

1993

fDate

1/1/1993 12:00:00 AM

Firstpage

98

Lastpage

107

Abstract

An error-based approach is used for the systematic derivation of complementary variational principles for the problem of steady current flow in conductors. Using two-dimensional finite-element solution results, the significance of combined presentation of complementary computational results is discussed, and the distribution of the numerical error is displayed graphically. It is shown that the limits of the theory of complementary variational principles are decreed by boundary specifications, and that, under certain circumstances, a treatment is available for transcending them. Finally, the error-based approach is applied to the circuit version of the direct-current flow problem

Keywords

boundary-value problems; eddy currents; electromagnetic induction; error analysis; finite element analysis; variational techniques; boundary specifications; complementary variational principles; conductors; direct current flow problems; error-based approach; steady current flow; two-dimensional finite-element solution; Circuits; Computer displays; Conductivity; Conductors; Current density; Distributed computing; Electrostatics; Equations; Finite element methods; Helium;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.195553

Filename

195553