Extrapolation of the Finite Element Method on General Meshes

Extrapolation of the Finite Element Method on General Meshes

Year:    2013

International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2013-IJNAM-562

International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 1 : pp. 139–153

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Extrapolation finite element method general meshes.