Introduction to Shape Optimization: Shape Sensitivity Analysis | JAN SOKOLOWSKI | Springer, 1992. In-8� cartonn�, 250 pages. Couverture propre . Dos solide. Int�rieur frais sans soulignage ou annotation. Exemplaire de biblioth�que : petit code barre en pied de 1re de couv., cotation au dos, rares et discrets petits tampons � l'int�rieur de l'ouvrage. Tr�s bon �tat g�n�ral pour cet ouvrage. [Ba 68].

N� de ref. del art�culo WN-PM5P-KQNW

Contactar al vendedor

Denunciar este art�culo

Detalles bibliogr�ficos

T�tulo

Introduction to Shape Optimization: Shape Sensitivity Analysis

Editor

Springer

Fecha de publicaci�n

1992

Idioma

Ingl�s

ISBN 10

3540541772

ISBN 13

9783540541776

Encuadernaci�n

Encuadernaci�n de tapa dura

Estado

Tr�s Bon

Cat�logos de vendedores

Acerca de

Sinopsis

1 Introduction to shape optimization.- 1.1. Preface.- 2 Preliminaries and the material derivative method.- 2.1. Domains in ?N of class Ck.- Surface measures on ?.- 2.3. Functional spaces.- 2.4. Linear elliptic boundary value problems.- 2.5. Shape functionals.- 2.6. Shape functionals for problems governed by linear elliptic boundary value problems.- 2.6.1. Shape functionals for transmission problems.- 2.6.2. Approximation of homogenuous Dirichlet problems.- 2.7. Convergence of domains.- 2.8. Transformations Tt of domains.- 2.9. The speed method.- 2.10. Admissible speed vector fields Vk(D).- 2.11. Eulerian derivatives of shape functionals.- 2.12. Non-differentiable shape functionals.- 2.13. Properties of Tt transformations.- 2.14. Differentiability of transported functions.- 2.15. Derivatives for t > 0.- 2.16. Derivatives of domain integrals.- 2.17. Change of variables in boundary integrals.- 2.18. Derivatives of boundary integrals.- 2.19. The tangential divergence of the field V on ?.- 2.20. Tangential gradients and Laplace-Beltrami operators on ?.- 2.21. Variational problems on ?.- 2.22. The transport of differential operators.- 2.23. Integration by parts on ?.- 2.24. The transport of Laplace-Beltrami operators.- 2.25. Material derivatives.- 2.26. Material derivatives on ?.- 2.27. The material derivative of a solution to the Laplace equation with Dirichlet boundary conditions.- 2.28. Strong material derivatives for Dirichlet problems.- 2.29. The material derivative of a solution to the Laplace equation with Neumann boundary conditions.- 2.30. Shape derivatives.- 2.31. Derivatives of domain integrals (II).- 2.32. Shape derivatives on ?.- 2.33. Derivatives of boundary integrals.- 3 Shape derivatives for linear problems.- 3.1. The shape derivative for the Dirichlet boundary value problem.- 3.2. The shape derivative for the Neumann boundary value problem.- 3.3. Necessary optimality conditions.- 3.4. Parabolic equations.- 3.4.1 Neumann boundary conditions.- 3.4.2 Dirichlet boundary conditions.- 3.5. Shape sensitivity in elasticity.- 3.6. Shape sensitivity analysis of the smallest eigenvalue.- 3.7. Shape sensitivity analysis of the Kirchhoff plate.- 3.8. Shape derivatives of boundary integrals: the non-smooth case in ?2.- 3.9. Shape sensitivity analysis of boundary value problems with singularities.- 3.10. Hyperbolic initial boundary value problems.- 4 Shape sensitivity analysis of variational inequalities.- 4.1. Differential stability of the metric projection in Hilbert spaces.- 4.2. Sensitivity analysis of variational inequalities in Hilbert spaces.- 4.3. The obstacle problem in H1 (?).- 4.3.1. Differentiability of the Newtonian capacity.- 4.3.2. The shape controlability of the free boundary.- 4.4. The Signorini problem.- 4.5. Variational inequalities of the second kind.- 4.6. Sensitivity analysis of the Signorini problem in elasticity.- 4.6.1. Differential stability of solutions to variational inequalities in Hilbert spaces.- 4.6.2. Shape sensitivity analysis.- 4.7. The Signorini problem with given friction.- 4.7.1. Shape sensitivity analysis.- 4.8. Elasto-Plastic torsion problems.- 4.9. Elasto-Visco-Plastic problems.- References.

Rese�a del editor

This book presents modern functional analysis methods for the sensitivity analysis of some infinite-dimensional systems governed by partial differential equations. The main topics are treated in a general and systematic way. They include many classical applications such as the Signorini problem, the elastic-plastic torsion problem and the visco-elastic-plastic problem. The "material derivative" from which any kind of shape derivative of a cost functional can be derived is defined. New results about the wave equation and the unilateral problem are also included in this book, which is intended to serve as a basic reference work for the algorithmic approach to shape optimization problems.

"Sobre este t�tulo" puede pertenecer a otra edici�n de este libro.

Descripci�n de la librer�a

Librairie avec un fonds g�n�raliste, avec une dominante en sciences humaines et sociales.

Ver la p�gina web de la librer�a

Informaci�n empresarial del vendedor

La bataille des livres
France

Condiciones de venta y env�o

Condiciones de venta

Derecho a cancelaci�n

Condiciones de env�o

Les commandes sont g�n�ralement exp�di�es sous deux jours. Les frais de port sont calcul�s selon les tarifs appliqu�s par La Poste. Les frais de port affich�s au moment de la commande ne sont qu'indicatifs. Au cas o� les livres command�s seraient particuli�rement lourds ou imposants ou rares, vous serez inform� que des frais de transports suppl�mentaires sont n�cessaires.

Tarifas de env�o de Francia a Espa�a

Tarifas de env�o de Francia a Espa�a
Cantidad del pedido	De 7 a 15 d�as h�biles	De 7 a 14 d�as h�biles
Primer art�culo	EUR 21.00	EUR 21.00

Los plazos de entrega los establecen los vendedores y var�an seg�n el transportista y la ubicaci�n. Los pedidos que pasan por la aduana pueden sufrir retrasos y los compradores son responsables de los aranceles o tarifas asociadas. Los vendedores pueden ponerse en contacto con usted en relaci�n con cargos adicionales para cubrir cualquier aumento en los costes de env�o de los art�culos.