Finite Element Approximation for Optimal Shape Design: Theory and Applications

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Explains how to speed the optimal shape design process using a computer. Outlines the problems inherent in optimal shape design and discusses methods of their solution. Concentrates on finite element approximation and describes numerical realization of optimization techniques. Treats optimal design problems via the optimal control theory when the state systems are governed by variational inequalities. Provides useful background information, followed by numerous approaches to optimal shape design, all supported by illustrative examples. Appendices provide algorithms and numerous examples and their calculations are included.

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Contents

Preliminaries
1
Abstract setting of optimal shape design problem and
28
Optimal shape design of systems governed by a unilateral
53
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