Global superconvergence for Maxwell’s equations

Lin, Qun; Yan, Ningning

doi:10.1090/S0025-5718-99-01131-X

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.

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