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Superconvergence of Tetrahedral Linear Finite Elements

Superconvergence of Tetrahedral Linear Finite Elements

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.

Author Details

Long Chen Email