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Finite Element Approximation 2e Book

Finite Element Approximation 2e
Finite Element Approximation 2e, This book addresses the formulation, approximation and numerical solution of optimal shape design problems: from the continuous model through its discretization and approximation results, to sensitivity analysis and numerical realization. Shape optimizati, Finite Element Approximation 2e has a rating of 3 stars
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Finite Element Approximation 2e, This book addresses the formulation, approximation and numerical solution of optimal shape design problems: from the continuous model through its discretization and approximation results, to sensitivity analysis and numerical realization. Shape optimizati, Finite Element Approximation 2e
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  • Finite Element Approximation 2e
  • Written by author Haslinger
  • Published by Wiley, John & Sons, Incorporated, July 1996
  • This book addresses the formulation, approximation and numerical solution of optimal shape design problems: from the continuous model through its discretization and approximation results, to sensitivity analysis and numerical realization. Shape optimizati
  • This book addresses the formulation, approximation and numerical solution of optimal shape design problems: from the continuous model through its discretization and approximation results, to sensitivity analysis and numerical realization. Shape optimi
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Authors

1Preliminaries1
2Abstract setting of the optimal shape design problem and its approximation29
3Optimal shape design of systems governed by a unilateral boundary value state problem - the scalar case53
4Approximation of the optimal shape design problems by finite elements - the scalar case66
5Numerical realization of optimal shape design problems associated with a unilateral boundary value problem - the scalar case75
6Shape optimization in unilateral boundary value problems with a "flux" cost functional104
7Optimal shape design in contact problems - the elastic case118
8Shape optimization of materially non-linear bodies in contact192
9Shape optimization in problems with inner obstacles230
10State-constrained optimal control problems and their approximations262
11Optimum composite material design288
12Topology optimization in unilateral problems311
13Fictitious domain-based approaches in shape optimization328
Appendix I: Survey of the methods for non-smooth optimization374
Appendix II: Design sensitivity analysis for stiffness and mass matrices and for force vectors385
Appendix III: Differentiation of min-max functions401
Appendix IV: Genetic algorithms403
Bibliography409
Subject Index421


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Finite Element Approximation 2e, This book addresses the formulation, approximation and numerical solution of optimal shape design problems: from the continuous model through its discretization and approximation results, to sensitivity analysis and numerical realization. Shape optimizati, Finite Element Approximation 2e

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Finite Element Approximation 2e, This book addresses the formulation, approximation and numerical solution of optimal shape design problems: from the continuous model through its discretization and approximation results, to sensitivity analysis and numerical realization. Shape optimizati, Finite Element Approximation 2e

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Finite Element Approximation 2e, This book addresses the formulation, approximation and numerical solution of optimal shape design problems: from the continuous model through its discretization and approximation results, to sensitivity analysis and numerical realization. Shape optimizati, Finite Element Approximation 2e

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