Abstract
For a general second-order variable coefficient elliptic boundary value problem in three dimensions, the authors derive the weak estimate of the first type for tensor-product linear pentahedral finite elements. In addition, the estimate for the W 1, 1-seminorm of the discrete derivative Green’s function is given. Finally, the authors show that the derivatives of the finite element solution u h and the corresponding interpolant Πu are superclose in the pointwise sense of the L ∞-norm.
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This research is supported by the Natural Science Foundation of Zhejiang Province under Grant No. Y6090131 and the Natural Science Foundation of Ningbo City under Grant No. 2010A610101.
This paper was recommended for publication by Editor Ningning YAN.
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Liu, J., Deng, Y. & Zhu, Q. High accuracy analysis of tensor-product linear pentahedral finite elements for variable coefficient elliptic equations. J Syst Sci Complex 25, 410–416 (2012). https://doi.org/10.1007/s11424-011-0045-6
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DOI: https://doi.org/10.1007/s11424-011-0045-6