Spurious solutions to vector diffusion and wave field problems

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 an...

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Bibliographic Details
Published inIEEE transactions on magnetics Vol. 24; no. 1; pp. 158 - 161
Main Authors Pinchuk, A.R., Crowley, C.W., Silvester, P.P.
Format Journal Article
LanguageEnglish
Published IEEE 01.01.1988
Subjects
Conductors
Eigenvalues and eigenfunctions
Equations
Finite element methods
Frequency
Hilbert space
Lead
Modal analysis
Space stations
Symmetric matrices
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Summary: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.< >
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0018-9464
1941-0069
DOI:10.1109/20.43880