| 第二类混合变分不等式的MRM-边界元分析 |
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| 引用本文： | 武震东,丁睿.第二类混合变分不等式的MRM-边界元分析[J].应用数学学报,2007,30(4):719-728. |
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| 作者姓名： | 武震东 丁睿 |
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| 作者单位： | 苏州大学数学科学学院,苏州,215006 |
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| 基金项目： | 国家自然科学基金;苏州大学校科研和教改项目 |
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| 摘 要： | 本文以弹性力学中的摩擦问题为背景,采用多重互易方法(MRM方法),边界元方法,将摩擦问题中的第二类混合变分不等式化解为MRM-边界混合变分不等式,给出了MRM-边界混合变分不等式解的存在唯—性,通过引入变换将原MRM-边界混合变分不等式化解为标准的凸极值问题,采用正则化方法处理后,给出了MRM-边界混合变分不等式的迭代分解方法。文末给出了数值算例。
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| 关 键 词： | MRM方法 混合边界变分不等式 摩擦问题 |
| 修稿时间： | 2007-02-13 |
MRM-Boundary Element Analysis for the Mixed Variational Inequality with Second Kind |
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| WU ZHENDONG,DING RUI.MRM-Boundary Element Analysis for the Mixed Variational Inequality with Second Kind[J].Acta Mathematicae Applicatae Sinica,2007,30(4):719-728. |
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| Authors: | WU ZHENDONG DING RUI |
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| Institution: | Department of Mathematics, Suzhou University, Suzhou 215006 |
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| Abstract: | Using the friction problem in elasticity as the background,the mixed varia- tional inequality of the second kind in friction problem is reduced to an MRM-boundary mixed variational inequality by the multiple reciprocity method(MRM).The existence and uniqueness for the solution of the MRM-boundary mixed variational inequality are obtained. Introducing the transformation,the MRM-boundary mixed variational inequality is reduced to a standard convex optimization problem.Applying regularization,the iterative decompo- sition methods for the regularized problem are presented.Finally the numerical experiment is given. |
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| Keywords: | multiple reciprocity method(MRM) mixed boundary variational inequality friction problem |
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