Uzawa block relaxation method for the unilateral contact problem

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Koko, Jonas^1,2 

[1] CNRS, LIMOS, UMR 6158, F-63173 Aubiere, France

[2] Clermont Univ, Univ Blaise Pascal, LIMOS, F-63000 Clermont Ferrand, France

关键词: Augmented Lagrangian;    Linear elasticity;    Contact;    Friction;   

DOI  :  10.1016/j.cam.2010.10.032

来源: Elsevier

【 摘 要 】

We present a Uzawa block relaxation method for the numerical resolution of contact problems with or without friction, between elastic solids in small deformations. We introduce auxiliary unknowns to separate the linear elasticity subproblem from the unilateral contact and friction conditions. Applying a Uzawa block relaxation method to the corresponding augmented Lagrangian functional yields a two-step iterative method with a linear elasticity problem as a main subproblem while auxiliary unknowns are computed explicitly. Numerical experiments show that the method are robust and scalable with a significant saving of computational time. (C) 2010 Elsevier B.V. All rights reserved.

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