Applications of the Topological Derivative Method

Inbunden, Engelska, 2019

AvAntonio André Novotny,Jan Sokołowski,Antoni Żochowski,Antonio Andre Novotny,Jan Sokolowski,Antoni Zochowski,Jan Novotny, Antonio André

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The book presents new results and applications of the topological derivative method in control theory, topology optimization and inverse problems.

Produktinformation

Utgivningsdatum2019-01-12
Mått155 x 235 x undefined mm
FormatInbunden
SpråkEngelska
SerieStudies in Systems, Decision and Control
Antal sidor212
FörlagSpringer Nature Switzerland AG
ISBN9783030054311

Tillhör följande kategorier

Introduction.- Theory in Singularly Perturbed Geometrical Domains.- Steklov-Poincare´ Operator for Helmholtz Equation.- Topological Derivatives for Optimal Control Problems.- Optimality Conditions with Topological Derivatives.- A Gradient-Type Method and Applications.- Synthesis of Compliant Thermomechanical Actuators.- Synthesis of Compliant Piezomechanical Actuators.- Asymptotic Analysis of Variational Inequalities.- A Newton-Type Method and Applications.- The Electrical Impedance Tomography Problem.

“The book is well written, and the examples treated are carefully motivated. The references are up-to-date. The material presented in the book requires good mathematical background, so that the book could be used, as usefull reference, for researchers and graduate students that are working in the optimization theory.”(Teodor Atanacković, zbMATH 1460.74001, 2021)“The book under review provides an excellent overview of historical and current developments in the field and, at the same time, is a very good introduction to readers familiar with linear elliptic equations and variational inequalities. … In all chapters, a thorough literature discussion is provided along with a detailed discussion of open problems.” (Guenter Leugering, Mathematical Reviews, October, 2019)