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Global superconvergence for Maxwell's equations
Author(s):
Qun
Lin;
Ningning
Yan.
Journal:
Math. Comp.
69
(2000),
159-176.
MSC (1991):
Primary 65N30;
Secondary 35L15
Posted:
March 10, 1999
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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:
10.1090/S0025-5718-99-01131-X
PII:
S 0025-5718(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
Posted:
March 10, 1999
Copyright of article:
Copyright
1999,
American Mathematical Society
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