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Applications of the Topological Derivative Method
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kr 320
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 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.
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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.
Produktdetaljer
Sprog: Engelsk
Sider: 212
ISBN-13: 9783030054311
Indbinding: Hardback
Udgave:
ISBN-10: 3030054314
Udg. Dato: 12 jan 2019
Længde: 0mm
Bredde: 235mm
Højde: 155mm
Oplagsdato: 12 jan 2019
Forfatter(e) Jan Sokolowski, Antonio Andre Novotny, Antoni Zochowski


Kategori Kybernetik og systemteori


Sprog Engelsk


Indbinding Hardback


Sider 212


Udgave


Længde 0mm


Bredde 235mm


Højde 155mm

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