| 关于一个第二类变分不等式的有限元逼近 |
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| 引用本文： | 张铁,李长军. 关于一个第二类变分不等式的有限元逼近[J]. 计算数学, 2003, 25(3): 257-264 |
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| 作者姓名： | 张铁 李长军 |
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| 作者单位： | 1. 中科院沈阳自动化所,沈阳,110016
2. 东北大学数学系,沈阳,110004 |
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| 基金项目： | 教育部高校骨干教师基金 |
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| 摘 要： | A new type of finite element scheme including the numerical integration modi-fication is presented for the second type variational inequality. Our methods really simplify the finite element analysis and practical calculation. The unique existence and stability of finite element solution are proved , and particularly the optimal order error estimates are derived under H^1 and L2 norms.
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| 关 键 词： | 第二类变分不等式 有限元逼近 误差分析 稳定性估计 数值积分修正格式 |
| 修稿时间： | 2001-03-30 |
FINITE ELEMENT APPROXIMATION TO THE SECOND TYPE VARIATIONAL INEQUALITY |
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| Zhang Tie Li Changjun. FINITE ELEMENT APPROXIMATION TO THE SECOND TYPE VARIATIONAL INEQUALITY[J]. Mathematica Numerica Sinica, 2003, 25(3): 257-264 |
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| Authors: | Zhang Tie Li Changjun |
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| Affiliation: | Zhang Tie Li Changjun(Shenyang Institute of Automation, Academia Sinica, Shenyang, 110016; Department of Mathematics, Northeastern University, Shenyang, 110004) |
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| Abstract: | A new type of finite element scheme including the numerical integration modification is presented for the second type variational inequality. Our methods really simplify the finite element analysis and practical calculation. The unique existence and stability of finite element solution are proved , and particularly the optimal order error estimates are derived under H1 and L2 norms. |
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| Keywords: | Second type variational inequality finite element analy-sis optimal L2 error estimate |
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