Pointwise supercloseness of pentahedral finite elements |
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| Authors: | Jinghong Liu Qiding Zhu |
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| Affiliation: | 1. Department of Fundamental Courses, Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China;2. Department of Mathematics, College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China |
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| 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 W1,1‐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. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010 |
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| Keywords: | discrete derivative Green's function pentahedral finite elements supercloseness |
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