• Produktbild: Numerical Methods in Sensitivity Analysis and Shape Optimization
  • Produktbild: Numerical Methods in Sensitivity Analysis and Shape Optimization

Numerical Methods in Sensitivity Analysis and Shape Optimization

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

19.04.2013

Abbildungen

XVII, 194 p.

Verlag

Birkhäuser Boston

Seitenzahl

194

Maße (L/B/H)

23,5/15,5/1,2 cm

Gewicht

335 g

Auflage

2003

Sprache

Englisch

ISBN

978-1-4612-6598-6

Beschreibung

Rezension

"The focus of this book is finite-dimensional constrained optimization problems which arise by discretizing shape optimization problems of [a particular] type…. In the major part of the book the authors recall the basic principles of constrained optimization, describe variants of Newton's algorithm to solve the necessary optimality conditions and discuss analytic and automatic techniques to calculate the derivative of j with respect to the design variable z."
—Mathematical Reviews

"Many illustrative examples and numerical results clarify the presentation. The book will be of interest to graduate students involved in mathematical modeling and simulation, as well as to engineers and researchers in applied mathematics looking for an up-to-date introduction to optimization techniques, sensitivity analysis, and optimal design."
—Zentralblatt Math

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

19.04.2013

Abbildungen

XVII, 194 p.

Verlag

Birkhäuser Boston

Seitenzahl

194

Maße (L/B/H)

23,5/15,5/1,2 cm

Gewicht

335 g

Auflage

2003

Sprache

Englisch

ISBN

978-1-4612-6598-6

Herstelleradresse

Springer-Verlag GmbH
Tiergartenstr. 17
69121 Heidelberg
DE

Email: GPSR Kontakt

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  • Produktbild: Numerical Methods in Sensitivity Analysis and Shape Optimization
  • Produktbild: Numerical Methods in Sensitivity Analysis and Shape Optimization
  • 1 Basic Formulations.- 1.1 A generic example.- 1.2 Abstract formulation of a shape optimization problem.- 1.3 Sensitivity analysis.- 1.4 Shape parametrization.- 1.5 Mesh construction and deformation.- 1.6 Exercises.- 2 Finite Dimensional Optimization.- 2.1 Basic problem and notation.- 2.2 Necessary conditions of optimality.- 2.3 Optimality conditions of Euler-Lagrange.- 2.4 Exercises.- 3 Newton's Algorithms.- 3.1 The problem to solve.- 3.2 Newton's algorithm.- 3.3 Unconstrained optimization.- 3.4 Thermodynamic equilibrium..- 3.5 Additional remarks and conclusions..- References.- 4 Modeling of Soil Behaviour: from Micro-Mechanical Analysis to Macroscopic Description.- 4.1 Introduction.- 4.2 Elementary considerations.- 4.3 Behaviour in proportional compression tests.- 4.4 A simple elasto-plastic strain-hardening model.- 4.5 Derivation of the failure condition.- 4.6 Non-normality and material instabilities.- 4.7 Three-dimensional loading conditions.- 4.8 Unlimited pore pressure generation.- 4.9 Drained shear banding.- 4.10 Locally undrained shear banding.- 4.11 Influence of induced anisotropy.- 4.12 Regularisation of the numerical response.- 4.13 Plasticity at very small strains.- 4.14 Conclusions.- References.- 5 Dynamic Thermo-Poro-Mechanical Stability Analysis of Simple Shear on Frictional Materials.- 5.1 Introduction.- 5.2 Mass balance.- 5.3 Energy balance in porous soils.- 5.4 The infinite slide.- 5.5 Drained soil behavior..- 5.6 Governing equations..- 5.7 Viscous regularization.- 5.8 Gradient regularization..- 5.9 Summary of main results.- References.- II Flow and Transport Phenomena in Particulate Materials.- 6 Mathematical Models for Soil Consolidation Problems: a State of the Art Report.- 7 Applications.- 8 One Shot Methods.- 9 Conclusions.