Optimal Interior and Local Error Estimates of a Recovered Gradient of Linear Elements on Nonuniform Triangulations
Year: 1996
Author: I. Hlaváček, M. Křížek
Journal of Computational Mathematics, Vol. 14 (1996), Iss. 4 : pp. 345–362
Abstract
We examine a simple averaging formula for the gradient of linear finite elements in whose interpolation order in the -norm is for and nonuniform triangulations. For elliptic problems in we derive an interior superconvergence for the averaged gradient over quasiuniform triangulations. Local error estimates up to a regular part of the boundary and the effect of numerical integration are also investigated.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1996-JCM-9244
Journal of Computational Mathematics, Vol. 14 (1996), Iss. 4 : pp. 345–362
Published online: 1996-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18