Numerically and parallel scalable TFETI algorithms for quasistatic contact

نویسندگان

  • O. Vlach
  • Z. Dostál
  • T. Kozubek
  • A. Markopoulos
  • T. Brzobohatý
چکیده

This paper deals with the solution of the discretized quasistatic 3D Signorini problems with local Coulomb friction. After a time discretization we obtain a system of static contact problems with Coulomb friction. Each of these problems is decomposed by the TFETI domain decomposition method used in auxiliary contact problemswith Tresca friction. The algebraic formulation of these problems in 3D leads to the quadratic programing with equality constraints together with box and separable quadratic constraints. For the solution we used the scalable algorithm SMALSE developed at our department. The efficiency of the method is demonstrated by results of numerical experiments with parallel solution of 3D contact problems of elasticity.

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تاریخ انتشار 2012