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Volume 10, Issue 1
Extrapolation of the Finite Element Method on General Meshes

Qun Lin & Hehu Xie

Int. J. Numer. Anal. Mod., 10 (2013), pp. 139-153.

Published online: 2013-10

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  • Abstract

In this paper, we consider the extrapolation method for second order elliptic problems on general meshes and derive a type of finite element expansion which is dependent of the triangulation. It allows to prove the effectiveness of the extrapolation on general meshes and also validates the extrapolation method can be applied on the automatically produced meshes of the general computing domains. Some numerical examples are given to illustrate the theoretical analysis.

  • Keywords

Extrapolation, finite element method, general meshes.

  • AMS Subject Headings

65N30, 65N15, 65N25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-10-139, author = {Qun Lin and Hehu Xie}, title = {Extrapolation of the Finite Element Method on General Meshes}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2013}, volume = {10}, number = {1}, pages = {139--153}, abstract = {

In this paper, we consider the extrapolation method for second order elliptic problems on general meshes and derive a type of finite element expansion which is dependent of the triangulation. It allows to prove the effectiveness of the extrapolation on general meshes and also validates the extrapolation method can be applied on the automatically produced meshes of the general computing domains. Some numerical examples are given to illustrate the theoretical analysis.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/562.html} }
TY - JOUR T1 - Extrapolation of the Finite Element Method on General Meshes AU - Qun Lin & Hehu Xie JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 139 EP - 153 PY - 2013 DA - 2013/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/562.html KW - Extrapolation, finite element method, general meshes. AB -

In this paper, we consider the extrapolation method for second order elliptic problems on general meshes and derive a type of finite element expansion which is dependent of the triangulation. It allows to prove the effectiveness of the extrapolation on general meshes and also validates the extrapolation method can be applied on the automatically produced meshes of the general computing domains. Some numerical examples are given to illustrate the theoretical analysis.

Qun Lin and Hehu Xie. (2013). Extrapolation of the Finite Element Method on General Meshes. International Journal of Numerical Analysis and Modeling. 10 (1). 139-153. doi:
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