Applications of the Topological Derivative Method

• Main Authors: Novotny, Antonio André (Author, http://id.loc.gov/vocabulary/relators/aut), Sokołowski, Jan (http://id.loc.gov/vocabulary/relators/aut), Żochowski, Antoni (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Studies in Systems, Decision and Control, 188
• Subjects: Control engineering.; Vibration.; Dynamical systems.; Dynamics.; System theory.; Control and Systems Theory.; Vibration, Dynamical Systems, Control.; Systems Theory, Control.

The book presents new results and applications of the topological derivative method in control theory, topology optimization and inverse problems. It also introduces the theory in singularly perturbed geometrical domains using selected examples. Recognized as a robust numerical technique in engineer...

Table of Contents:

• 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.