| 自由边界问题的非协调有限元逼近(英文) |
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| 引用本文： | 谢正辉.自由边界问题的非协调有限元逼近(英文)[J].怀化学院学报,1990(1). |
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| 作者姓名： | 谢正辉 |
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| 作者单位： | 怀化师专数学科 |
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| 摘 要： | 本文讨论了薄板弯曲障碍问题的非协调有限元逼近,证明了一个稠密性定理,离散问题解的存在唯一性以及离散解对真解的收敛性,讨论了非协调有限元离散问题的迭代解法并证明了迭代序列对离散解的收敛性。
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| 关 键 词： | 障碍问题 有限元逼近 离散解 迭代解 |
Approximation of Non-conforrning Finite Element of Free Boundary Problem |
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| Xie Zheng-hui.Approximation of Non-conforrning Finite Element of Free Boundary Problem[J].Journal of Huaihua University,1990(1). |
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| Authors: | Xie Zheng-hui |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper, we discuss non-conforming -finite element approximation of clamped Supported thin plate curved obstacle -problem. As a result, we prove a density theorem, existence and uniqueness of solution of the discrete problem, and the convergence of the discrete solution. We discuss iterative methods and show the convergence of the iterative solution to the discrete solution. |
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| Keywords: | Obstacle problem Nonconforming element Discrete Solution Itelative Solution Convergence |
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