Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Superconvergence of finite element approximations to Maxwell's equations

Superconvergence of finite element approximations to Maxwell's equations 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. © 1994 John Wiley & Sons, Inc. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Numerical Methods for Partial Differential Equations Wiley

Superconvergence of finite element approximations to Maxwell's equations

Loading next page...
 
/lp/wiley/superconvergence-of-finite-element-approximations-to-maxwell-s-Qr7Dw9deI0

References (10)

Publisher
Wiley
Copyright
Copyright © 1994 Wiley Periodicals, Inc.
ISSN
0749-159X
eISSN
1098-2426
DOI
10.1002/num.1690100611
Publisher site
See Article on Publisher Site

Abstract

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. © 1994 John Wiley & Sons, Inc.

Journal

Numerical Methods for Partial Differential EquationsWiley

Published: Nov 1, 1994

There are no references for this article.