Introduction to Shape Optimization: Shape Sensitivity Analysis (Springer Series in Computational Mathematics)

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9780387541778: Introduction to Shape Optimization: Shape Sensitivity Analysis (Springer Series in Computational Mathematics)

This books presents modern functional analytic methods for the sensitivity analysis of some infinite dimensional systems governed by partial differential equations. The main topics are treated in a general and systematic way including many classical applications such as the Signorini Problem, the elastic-plastic torsion problem and the visco-elasticplastic problem. The "material derivative" is defined from which any kind of shape derivative of a cost functional can be derived. New results about the wave equation and the unilateral problem are also included in the book which will serve as a theoretical framework for the algorithmic approach to shape optimization problems.

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