Spurious solutions to vector diffusion and wave field problems

Author

Pinchuk, A.R. ; Crowley, C.W. ; Silvester, P.P.

Author_Institution

Dept. of Electr. Eng., McGill Univ., Montreal, Que., Canada

Volume

24

Issue

1

fYear

1988

fDate

1/1/1988 12:00:00 AM

Firstpage

158

Lastpage

161

Abstract

Deterministic problems involving the vector Helmholtz and diffusion equations often exhibit spurious solutions when they are solved using finite-element methods. These nonphysical solutions arise from the same causes as the well-known spurious propagating modes encountered in high-frequency modal analyses. Using postprocessing techniques, these nonphysical solutions are shown to be responsible for inaccuracies in both modal and deterministic solutions throughout the frequency spectrum. Solution accuracy is recovered through use of mixed-order elements that are known to produce spectrally correct finite-element solutions

Keywords

electromagnetic field theory; finite element analysis; deterministic problems; deterministic solutions; eigenvector; finite-element methods; finite-element solutions; frequency spectrum; high-frequency modal analyses; mixed-order elements; modal solutions; postprocessing techniques; spurious propagating modes; spurious solutions; vector Helmholtz equations; vector diffusion; vector diffusion equations; wave field problems; Conductors; Eigenvalues and eigenfunctions; Electromagnetic fields; Equations; Finite element methods; Frequency; Hilbert space; Lead; Modal analysis; Space stations; Symmetric matrices; Vectors;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.43880

Filename

43880