Extrapolation for the Second Order Elliptic Problems by Mixed Finite Element Methods in Three Dimensions
Year: 2008
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 1 : pp. 112–131
Abstract
In this paper we derive asymptotic error expansions for mixed finite element approximations of general second order elliptic problems in three dimensions. And extrapolation method is applied to improve the accuracy of the approximations with the help of the interpolation postprocessing technique. For the cubic domain and uniform partition, with the extrapolation, the accuracy of the mixed finite element approximations can be improved.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-IJNAM-802
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 1 : pp. 112–131
Published online: 2008-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: superconvergence interpolation postprocessing extrapolation mixed finite element.