Year: 2006
Author: Long Chen
International Journal of Numerical Analysis and Modeling, Vol. 3 (2006), Iss. 3 : pp. 273–282
Abstract
In this paper, we show that the piecewise linear finite element solution $u_h$ and the linear interpolation $u_I$ have superclose gradient for tetrahedral meshes, where most elements are obtained by dividing approximate parallelepiped into six tetrahedra. We then analyze a post-processing gradient recovery scheme, showing that the global $L^2$ projection of $\nabla u_h$ is a superconvergent gradient approximation to $\nabla u$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2006-IJNAM-900
International Journal of Numerical Analysis and Modeling, Vol. 3 (2006), Iss. 3 : pp. 273–282
Published online: 2006-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: superconvergence finite element methods tetrahedral elements post-processing.