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• W2321852508 abstract "In this paper, a general method to derive asymptotic error expansion formulas for the mixed finite element approximations of the Maxwell eigenvalue problem is established. Abstract lemmas for the error of the eigenvalue approximations are obtained. Based on the asymptotic error expansion formulas, the Richardson extrapolation method is employed to improve the accuracy of the approximations for the eigenvalues of the Maxwell system from to when applying the lowest order Nedelec mixed finite element and a nonconforming mixed finite element. To our best knowledge, this is the first superconvergence result of the Maxwell eigenvalue problem by the extrapolation of the mixed finite element approximation. Numerical experiments are provided to demonstrate the theoretical results." @default.
• W2321852508 created "2016-06-24" @default.
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• W2321852508 date "2011-06-01" @default.
• W2321852508 modified "2023-09-28" @default.
• W2321852508 title "Extrapolation of Mixed Finite Element Approximations for the Maxwell Eigenvalue Problem" @default.
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• W2321852508 doi "https://doi.org/10.4208/nmtma.2011.m1018" @default.
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