Finite Element Approximation for Optimal Shape, Material and Topology Design (Hardcover, 2, Revised)

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.