Introduction to shape optimization: shape sensitivity analysis
Sokołowski J., Zolesio J.P.
Springer-Verlag, 1992. P. 250
This book 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. They include many classical applications such as the Signorini Problem, the elastic-plastic torsion problem and the visco-elastic-plastic problem. The "material derivative" from which any kind of shape derivative of a cost functional can be derived is defined. New results about the wave equation and the unilateral problem are also included in this book. It will serve as a fundamental reference for the algorithmic approach to shape optimization problems.
This book 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. They include many classical applications such as the Signorini Problem, the elastic-plastic torsion problem and the visco-elastic-plastic problem. The "material derivative" from which any kind of shape derivative of a cost functional can be derived is defined. New results about the wave equation and the unilateral problem are also included in this book. It will serve as a fundamental reference for the algorithmic approach to shape optimization problems.
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