| 一种非协调有限元方法的超收敛问题 |
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| 引用本文： | 刘晓奇,彭龙.一种非协调有限元方法的超收敛问题[J].东南大学学报(自然科学版),1996,26(1):81-86. |
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| 作者姓名： | 刘晓奇 彭龙 |
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| 作者单位： | 湘潭师范学院数学系，东南大学数学力学系 |
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| 摘 要： | 研究了Ｐｏｉｓｓｏｎ方程第一边值问题，给出反例，说明用Ｐ１型非协调元求其近似解，即使区域剖分是一致的，也无插值的第一弱估计，进而说明有限元解无超收敛。
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| 关 键 词： | 非协调有限元 超收敛 插值弱估计 |
Superconvergence Problem for Nonconforming Finite Element Method |
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| Liu Xiaoqi.Superconvergence Problem for Nonconforming Finite Element Method[J].Journal of Southeast University(Natural Science Edition),1996,26(1):81-86. |
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| Authors: | Liu Xiaoqi |
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| Abstract: | An inverse example is given so as to explain that there are not uniform superconvergence and average superconvergence for derivatives in nodal points although the triangulation is uniform meshes when solving Dirichlet problem of Poisson equation using P1 nonconforming finite element method. |
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| Keywords: | nonconforming finite element superconvergence weak estimate of interpolstion |
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