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Stability conditions for using TVFEMs to solve Maxwell equations in the frequency domain

✍ Scribed by R. Dyczij-Edlinger; G. Peng; J.-F. Lee

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 182 KB
Volume: 13
Category: Article
ISSN: 0894-3370
DOI: 10.1002/(sici)1099-1204(200003/06)13:2/3<245::aid-jnm359>3.0.co;2-m

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✦ Synopsis

The present paper shows that certain instabilities encountered with Nedelec-type "nite element implementations of the vector wave equation can be eliminated by a family of Lagrange multiplier methods. The considered approaches can be interpreted as coupled vector and scalar potential methods, including an ungauged formulation. We advocate the latter form for use with iterative solvers. We discuss an inexpensive high-frequency variant of the method and show how hierarchical "nite element bases can be utilized to derive e$cient, partially gauged formulations of higher order.

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