Applications of the Topological Derivative Method

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Novotny, Antonio André (Συγγραφέας, 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)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
Έκδοση:1st ed. 2019.
Σειρά:Studies in Systems, Decision and Control, 188
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Applications of the Topological Derivative Method  |h [electronic resource] /  |c by Antonio André Novotny, Jan Sokołowski, Antoni Żochowski. 
250 |a 1st ed. 2019. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2019. 
300 |a XIV, 212 p. 62 illus., 9 illus. in color.  |b online resource. 
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490 1 |a Studies in Systems, Decision and Control,  |x 2198-4182 ;  |v 188 
505 0 |a 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. 
520 |a 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 engineering applications, such as topology optimization, inverse problems, imaging processing, multi-scale material design and mechanical modeling including damage and fracture evolution phenomena, the topological derivative method is based on the asymptotic approximations of solutions to elliptic boundary value problems combined with mathematical programming tools. The book presents the first order topology design algorithm and its applications in topology optimization, and introduces the second order Newton-type reconstruction algorithm based on higher order topological derivatives for solving inverse reconstruction problems. It is intended for researchers and students in applied mathematics and computational mechanics interested in the mathematical aspects of the topological derivative method as well as its applications in computational mechanics. 
650 0 |a Control engineering. 
650 0 |a Vibration. 
650 0 |a Dynamical systems. 
650 0 |a Dynamics. 
650 0 |a System theory. 
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650 2 4 |a Vibration, Dynamical Systems, Control.  |0 http://scigraph.springernature.com/things/product-market-codes/T15036 
650 2 4 |a Systems Theory, Control.  |0 http://scigraph.springernature.com/things/product-market-codes/M13070 
700 1 |a Sokołowski, Jan.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Żochowski, Antoni.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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830 0 |a Studies in Systems, Decision and Control,  |x 2198-4182 ;  |v 188 
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950 |a Intelligent Technologies and Robotics (Springer-42732)