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020 _a9783030054328
024 7 _a10.1007/978-3-030-05432-8
_2doi
040 _aES-MaUEC
_bspa
_dES-MaUEC
050 4 _aQA611
_b2019 EB
100 1 _aNovotny, Antonio André
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9671297
245 1 0 _aApplications of the Topological Derivative Method
_cby Antonio André Novotny, Jan Sokołowski, Antoni Żochowski.
264 1 _aCham
_bSpringer International Publishing
_bImprint: Springer
_c2019.
300 _a1 recurso en línea (XIV, 212 páginas)
_b62 ilustraciones,9 ilustraciones a color
347 _atext file
_bPDF
490 0 _aStudies in Systems Decision and Control
_x2198-4182
_v188
490 0 _aIntelligent Technologies and Robotics (Springer-42732)
505 0 _aIntroduction -- 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 3 _aThe 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 7 _aTopología
_9405019
_2embne
700 1 _aSokołowski, Jan
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aŻochowski, Antoni
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
776 0 8 _iPrinted edition:
_z9783030054311
776 0 8 _iPrinted edition:
_z9783030054335
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-030-05432-8
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
988 _aPrimersemestre_2019_Robotics
998 _aSI
_a_alco
_a_vill
_b11/2019
_cm
_dz
_ea
_feng
_ggw
_h0