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On a boundary variational inequality of the second kind modelling a friction problem

✍ Scribed by Hocine Guediri

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
185 KB
Volume
25
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

A scalar contact problem with friction governed by the Yukawa equation is reduced to a boundary variational inequality. The presence of the non‐differentiable friction functional causes some difficulties when approximated. We present two methods to overcome this difficulty. The first one is a regularization leading to a non‐linear boundary variational equation, for which we propose an iterative procedure, whereas the second method is based on the boundary mixed variational formulation involving Lagrange multipliers. We propose Uzawa's algorithm to compute the saddle point of the corresponding boundary Lagrangian and investigate the discretization of various formulations by the boundary element Galerkin method. Convergence of the boundary element solution is proved and a convergence order is obtained. Copyright Β© 2002 John Wiley & Sons, Ltd.

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