| 变分不等式非协调元法收敛阶 |
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| 引用本文： | 谢正辉.变分不等式非协调元法收敛阶[J].怀化学院学报,1992(5). |
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| 作者姓名： | 谢正辉 |
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| 作者单位： | 怀化师专数学系 |
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| 摘 要： | 本文讨论一类带曲率障碍约束薄板弯曲问题对应变分不等式的一类非协调有限元逼近,在合理的正测性假设得到收敛阶为O(h)。
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| 关 键 词： | 变分不等式 非协调元 收敛阶 |
Convergence Order of Nonconforming Finite Element Method for a Fourth-order Variational Inequality |
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| Xie Zhenghui.Convergence Order of Nonconforming Finite Element Method for a Fourth-order Variational Inequality[J].Journal of Huaihua University,1992(5). |
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| Authors: | Xie Zhenghui |
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| Institution: | Mathematical Department |
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| Abstract: | In this paper, nonconforming finite element approximation for a variational inequality is discussed which relates to simply supported boundary with constraint on mean curvature. Under appropriate assumtions on regularity, the convergence order for corresponding discrete is obtained as follows:
|u-uA|A≤Ch(|u|3,0+|f|(?))for a kind of nonconforming finite element which includes Morely's element, the first kind of Fraeijs de Veubeke's element ,WS's element. |
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| Keywords: | Variational inequalities Nonconforming element Convergence order |
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