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arXiv 1211.7151math.NAcs.NAmath-phmath.MP
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具有非线性Winkler覆盖层的弹性体单边接触问题的区域分解方法

Domain decomposition methods for problems of unilateral contact between elastic bodies with nonlinear Winkler covers

Pidstryhach Institute for Applied Problems of Mechanics and Mathematics(皮德斯特里亚赫应用力学与数学问题研究所);Ivan Franko National University of Lviv(利沃夫伊万·弗兰科大学)

Ihor I. Prokopyshyn, Ivan I. Dyyak, Rostyslav M. Martynyak, Ivan A. Prokopyshyn

AI总结:

提出一类Robin-Robin型区域分解方法,基于反射Banach空间中非线性变分方程的非平稳迭代算法,求解具有非线性Winkler覆盖层的弹性体单边接触问题,并通过有限元近似进行数值研究。

摘要:

本文在连续层面上提出了一类Robin-Robin型区域分解方法,用于求解具有非线性Winkler覆盖层的弹性体单边接触问题。这些方法基于反射Banach空间中非线性变分方程的抽象非平稳迭代算法。我们还利用有限元近似对所得到的方法进行了数值研究。

英文摘要:

In this paper we propose on continuous level a class of domain decomposition methods of Robin-Robin type to solve the problems of unilateral contact between elastic bodies with nonlinear Winkler covers. These methods are based on abstract nonstationary iterative algorithms for nonlinear variational equations in reflexive Banach spaces. We also provide numerical investigations of obtained methods using finite element approximations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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