Further results on ultraconvergence derivative recovery for odd-order rectangular finite elements |
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| Authors: | JiDong Wei QiDing Zhu |
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| Institution: | (1) College of Mathematics and Computer Science, Hunan Normal University, Changsha, 410081, China;(2) Department of Mathematics, Hengyang Normal University, Hengyang, 421000, China |
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| Abstract: | For rectangular finite element, we give a superconvergence method by SPR technique based on the generalization of a new ultraconvergence
record and the sharp Green function estimates, by which we prove that the derivative has ultra-convergence of order O(h
k+3) (k ⩾ 3 being odd) and displacement has order of O(h
k+4) (k ⩾ 4 being even) at the locally symmetry points.
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| Keywords: | finite element ultra-convergence locally symmetric meshes SPR operator |
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