Global superconvergence

for Maxwell's equations

Authors:
Qun Lin and Ningning Yan

Journal:
Math. Comp. **69** (2000), 159-176

MSC (1991):
Primary 65N30; Secondary 35L15

DOI:
https://doi.org/10.1090/S0025-5718-99-01131-X

Published electronically:
March 10, 1999

MathSciNet review:
1654029

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, the global superconvergence is analysed on two schemes (a mixed finite element scheme and a finite element scheme) for Maxwell's equations in . Such a supercovergence analysis is achieved by means of the technique of integral identity (which has been used in the supercovergence analysis for many other equations and schemes) on a rectangular mesh, and then are generalized into more general domains and problems with the variable coefficients. Besides being more direct, our analysis generalizes the results of Monk.

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Additional Information

**Qun Lin**

Affiliation:
Institute of Systems Science, Academia Sinica, Beijing, China

Email:
glin@bamboo.iss.ac.cn

**Ningning Yan**

Affiliation:
Institute of Systems Science, Academia Sinica, Beijing, China

Email:
yan@bamboo.iss.ac.cn

DOI:
https://doi.org/10.1090/S0025-5718-99-01131-X

Keywords:
Maxwell's equations,
superconvergence,
finite element

Received by editor(s):
September 22, 1997

Received by editor(s) in revised form:
March 3, 1998

Published electronically:
March 10, 1999

Article copyright:
© Copyright 1999
American Mathematical Society