FETI based parallel solution of contact shape optimization problems

Abstract eng:
The paper deals with parallel solution of contact shape optimization problems. We propose for the parallel solution of the state problem a domain decomposition technique based on the Finite Element Tearing and Interconnecting (FETI) method originally proposed in (Farhat and Roux, 1991; Farhat et al., 1994). Although this method was proposed for linear problems, it was adopted to solution of the contact problems (Dost´ l and Vondr´ k, 1997; Dost´ l et al., 2000). In this a a a paper, we describe a new variant of this method that we call Total FETI (Dost´ l a et al., 2005). We exploit the same method for the efficient parallel solution of sensitivity analysis which shows to be the most expensive part of the shape optimization process. The efficiency of proposed method will be demonstrated on numerical examples.

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