Int. J. Numer. Anal. Mod., 3 (2006), pp. 273-282.


Superconvergence of tetrahedral linear finite element

Long Chen 1

1 Department of Mathematics, The Pennsylvania State University, University Park, PA, 16802, USA

Received by the editors July 1, 2004 and, in revised form, October 22, 2004
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 del u(h) is a superconvergent gradient approximation to del(u).

AMS subject classifications: 65N30
Key words: superconvergence; finite element methods; tetrahedral elements; post-processing
Email: long c@math.psu.edu
 

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