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Pointwise supercloseness of pentahedral finite elements

✍ Scribed by Jinghong Liu; Qiding Zhu

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
90 KB
Volume
26
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

This article derives the weak estimate of the first type for pentahedral finite elements over uniform partitions of the domain for the Poisson equation. The estimate for the W^1,1^‐seminorm of the discrete derivative Green's function is also given. Using these two estimates, we obtain the pointwise supercloseness of derivatives of the pentahedral finite element approximation and the interpolant to the true solution. Β© 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010

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