Finite Element Approximation for Optimal Shape, Material and Topology Design

Preliminaries.

Abstract Setting of the Optimal Shape Design Problem and ItsApproximation.

Optimal Shape Design of Systems Governed by a Unilateral BoundaryValue State Problem the Scalar Case.

Approximation of the Optimal Shape Design Problems by FiniteElements the Scalar Case.

Numerical Realization of Optimal Shape Design Problems Associatedwith 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 inContact.

Shape Optimization in Problems with Inner Obstacles.

Optimum Composite Material Design.

Topology Optimization in Unilateral Problems.

Appendices.

Bibliography.

Index.

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• Arte e design industrial / comercial
• Engenharia estrutural
• Matemática para engenheiros

book; formulation; continuous; design; discretization; problems; solution; model; shape; optimal; realization; first; optimization; part; structures; variational; elliptic type; inequalities; material; bodies; contact; nonlinear