Maximum Norm Estimate, Extrapolation and Optimal Points of Stresses for the Finite Element Methods on the Strongly Regular Triangulation
Year: 1983
Author: Qun Lin, Lü Tao, Shu-Min Shen
Journal of Computational Mathematics, Vol. 1 (1983), Iss. 4 : pp. 376–383
Abstract
Under the condition that the triangulation of the given domain is strongly regular, the maximum norm estimate with accuracy $O(h^2)$ of the linear finite element approximation is obtained, the optimal points of stresses at the midpoints of common sides for all adjacent elements are shown, and the estimate with higher accuracy for the extrapolation approximation based on mesh refinement and extrapolation is given.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1983-JCM-9716
Journal of Computational Mathematics, Vol. 1 (1983), Iss. 4 : pp. 376–383
Published online: 1983-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8