Global superconvergence for Maxwell’s equations
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- by Qun Lin and Ningning Yan PDF
- Math. Comp. 69 (2000), 159-176 Request permission
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 $R^3$. 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.References
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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
- Received by editor(s): September 22, 1997
- Received by editor(s) in revised form: March 3, 1998
- Published electronically: March 10, 1999
- © Copyright 1999 American Mathematical Society
- Journal: Math. Comp. 69 (2000), 159-176
- MSC (1991): Primary 65N30; Secondary 35L15
- DOI: https://doi.org/10.1090/S0025-5718-99-01131-X
- MathSciNet review: 1654029