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Superconvergence of finite element approximations to Maxwell's equations

✍ Scribed by Peter Monk

Publisher: John Wiley and Sons
Year: 1994
Tongue: English
Weight: 839 KB
Volume: 10
Category: Article
ISSN: 0749-159X
DOI: 10.1002/num.1690100611

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✦ Synopsis

We study superconvergence of edge finite element approximations to the magnetostatic problem and to the time-dependent Maxwell system. We show that in special discrete norms there is an increase of one power in the order of convergence of the finite element method compared to error estimates in standard Sobolev norms. Our results are restricted to an orthogonal grid in R3, but the grid may be nonuniform.

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