Abstract

Preliminaries. Abstract Setting of the Optimal Shape Design Problem and Its Approximation. Optimal Shape Design of Systems Governed by a Unilateral Boundary Value State Problem the Scalar Case. Approximation of the Optimal Shape Design Problems by Finite Elements the Scalar Case. Numerical Realization of Optimal Shape Design Problems Associated with a Unilateral Boundary Value Problem the Scalar Case. Shape optimization in Unilateral Boundary Value Problems with a Flux Cost Functional. Optimal Shape Design Contact Problems the Elastic Case. Shape Optimization of Materially Non-linear Bodies in Contact. Shape Optimization in Problems with Inner Obstacles. Optimum Composite Material Design. Topology Optimization in Unilateral Problems. Appendices. Bibliography. Index.

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