Year: 2005
Author: Michal Křížek
International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Iss. 1 : pp. 43–56
Abstract
We give an overview of superconvergence phenomena in the finite element method for solving three-dimensional problems, in particular, for elliptic boundary value problems of second order over uniform meshes. Some difficulties with superconvergence on tetrahedral meshes are presented as well. For a given positive integer $m$ we prove that there is no tetrahedralization of $R^3$ whose all edges are $m$-valent.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-IJNAM-919
International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Iss. 1 : pp. 43–56
Published online: 2005-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: linear and quadratic tetrahedral elements acute partitions Poisson equation postprocessing supercloseness averaging and smoothing operators regular polytopes combinatorial topology.