Uzawa Block Relaxation Domain Decomposition Method For The Two-body Contact Problem With Tresca Friction

Jonas Koko

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Uzawa Block Relaxation Domain Decomposition Method For The Two-body Contact Problem With Tresca Friction

机译：Tresca摩擦两体接触问题的Uzawa块松弛域分解方法

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摘要

We propose a Uzawa block relaxation domain decomposition method for a two-body contact problem with Tresca friction. We introduce auxiliary interface unknowns to transform the variational problem into a saddle-point problem. Applying a Uzawa block relaxation algorithm to the corresponding augmented Lagrangian functional we obtain a domain decomposition algorithm in which we have to solve two uncoupled linear elasticity subproblems in each iteration. The auxiliary unknowns are computed explicitly using Kuhn-Tucker conditions and Fenchel duality theory. Numerical experiments show the scalability of the domain decomposition algorithm on matching or nonmatching meshes for two- or three-dimensional contact problems.

机译：针对Tresca摩擦的两体接触问题，我们提出了Uzawa块弛豫域分解方法。我们引入辅助接口未知数，将变分问题转换为鞍点问题。将Uzawa块松弛算法应用于相应的增强拉格朗日函数，我们获得了域分解算法，该算法必须在每次迭代中解决两个解耦的线性弹性子问题。辅助未知数是使用Kuhn-Tucker条件和Fenchel对偶理论明确计算的。数值实验表明，该域分解算法在二维或三维接触问题的匹配或不匹配网格上具有可伸缩性。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2008年第4期|p.420-431|共12页
作者
Jonas Koko;
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作者单位

LIMOS, Universite Blaise Pascal, CNRS UMR 6158, ISIMA, Campus des Cezeaux, BP 10125, 63173 Aubiere Cedex, France;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化基础理论;工程基础科学;
关键词
two-body contact; augmented lagrangian; kuhn-tucker conditions; fenchel duality; domain decomposition;

机译：两体接触;增强拉格朗日;库恩-塔克条件;芬切尔对偶性;域分解;

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专利

1. Uzawa block relaxation domain decomposition method for a two-body frictionless contact problem [J] . Koko J Applied mathematics letters . 2009,第10期

机译：两体无摩擦接触问题的Uzawa块弛豫域分解方法
2. A domain decomposition method for two-body contact problems with Tresca friction [J] . Jaroslav Haslinger, Radek Ku?era, Julien Riton, Advances in computational mathematics . 2014,第1期

机译：Tresca摩擦的两体接触问题的区域分解方法
3. A DECOMPOSITION METHOD FOR A UNILATERAL CONTACT PROBLEM WITH TRESCA FRICTION ARISING IN ELECTRO-ELASTOSTATICS [J] . Essoufi E. -H., Fakhar R., Koko J. Numerical Functional Analysis and Optimization . 2015,第10a12期

机译：弹性中具有Tresca摩擦的单点接触问题的分解方法
4. On Domain Decomposition Algorithms for Contact Problems with Tresca Friction [C] . Mien Riton, Taoufik Sassi, 1Radek Kucera International conference on domain decomposition . 2011

机译：关于Tresca摩擦的接触问题域分解算法
5. A hybrid domain decomposition method and its applications to contact problems. [D] . Lee, Jungho. 2009

机译：混合域分解方法及其在接触问题中的应用。
6. One- and two-body decomposable Poisson-Boltzmann methods for protein design calculations [O] . Shannon A. Marshall, Christina L. Vizcarra, Stephen L. Mayo 2005

机译：一体和两体可分解的Poisson-Boltzmann方法用于蛋白质设计计算
7. Uzawa Block Relaxation Domain Decomposition Method for the Two-Body Contact Problem With Tresca Friction [O] . Jonas Koko 2015

机译：Tresca摩擦双体接触问题的Uzawa块松弛区域分解法
8. Efficient Method for Predicting the Vibratory Response of Linear Structures with Friction Interfaces. Volume 2. Steady-State Vibrations of a Two-Body System with a Frictional Interface [R] . Bazan-Zurita, E., Bielak, J., Griffin, J. H. 1988

机译：用摩擦界面预测线性结构振动响应的有效方法。第2卷。具有摩擦界面的双体系统的稳态振动

Uzawa Block Relaxation Domain Decomposition Method For The Two-body Contact Problem With Tresca Friction

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