This book presents modern functional analysis 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, which is intended to serve as a basic reference work for the
algorithmic approach to shape optimization problems.
General
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