期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 194, 期 27-29, 页码 3147-3166出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2004.08.006
关键词
multibody contact problems; primal-dual active set strategy; mortar finite element methods; dual Lagrange multipliers; non-conforming meshes; linear elasticity
Non-conforming domain decomposition methods provide a powerful tool for the numerical approximation of partial differential equations. For the discretization of a non-linear multibody contact problem, we use the mortar approach with a dual Lagrange multiplier space. To handle the non-linearity of the contact conditions, we apply a primal-dual active set strategy to find the actual contact zone. The algorithm can be easily generalized to multibody contact problems. A suitable basis transformation guarantees the same algebraic structure in the multibody situation as in the one body case. Using an inexact primal-dual active set strategy in combination with a multigrid method yields an efficient iterative solver. Different numerical examples for one and multibody contact problems illustrate the performance of the method. (c) 2004 Elsevier B.V. All rights reserved.
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