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 uh and the linear interpolation uI 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 L2 projection of ∇uh is a superconvergent gradient approximation to ∇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.