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Volume 5, Issue 1
Extrapolation for the Second Order Elliptic Problems by Mixed Finite Element Methods in Three Dimensions

H. Xie & S. Jia

Int. J. Numer. Anal. Mod., 5 (2008), pp. 112-131.

Published online: 2008-05

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  • 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.

  • Keywords

superconvergence, interpolation postprocessing, extrapolation, mixed finite element.

  • AMS Subject Headings

65N30, 65M60, 31A30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-5-112, author = {Xie , H. and Jia , S.}, title = {Extrapolation for the Second Order Elliptic Problems by Mixed Finite Element Methods in Three Dimensions}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2008}, volume = {5}, number = {1}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/802.html} }
TY - JOUR T1 - Extrapolation for the Second Order Elliptic Problems by Mixed Finite Element Methods in Three Dimensions AU - Xie , H. AU - Jia , S. JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 112 EP - 131 PY - 2008 DA - 2008/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/802.html KW - superconvergence, interpolation postprocessing, extrapolation, mixed finite element. AB -

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.

Xie , H. and Jia , S.. (2008). Extrapolation for the Second Order Elliptic Problems by Mixed Finite Element Methods in Three Dimensions. International Journal of Numerical Analysis and Modeling. 5 (1). 112-131. doi:
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