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Analyse Num Rique Et Optimisation


Analyse Num Rique Et Optimisation
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Analyse Num Rique Et Optimisation


Analyse Num Rique Et Optimisation
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Author : Grégoire Allaire
language : fr
Publisher: Editions Ecole Polytechnique
Release Date : 2005

Analyse Num Rique Et Optimisation written by Grégoire Allaire and has been published by Editions Ecole Polytechnique this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematical models categories.


Ce livre est issu d'un cours enseigné à l'École Polytechnique dont l'objectif, au delà de la présentation de l'analyse numérique et de l'optimisation, est d'introduire les étudiants au monde de la modélisation mathématique et de la simulation numérique. La modélisation et la simulation ont pris une importance considérable ces dernières décennies dans tous les domaines de la science et des applications industrielles (ou sciences de l'ingénieur). En effet, depuis leur apparition au lendemain de la seconde guerre mondiale les ordinateurs ont profondément transformé les mathématiques en en faisant une science expérimentale : on fait des ± expériences numériques » (des calculs sur ordinateurs) comme d'autres font des expériences physiques. L'analyse numérique est justement la discipline qui conçoit et analyse les méthodes ou algorithmes de calcul. La simulation numérique permet aux mathématiciens de s'attaquer à des problèmes beaucoup plus complexes et concrets qu'auparavant, issus de motivations immédiates industrielles ou scientifiques, auxquels on peut apporter des réponses à la fois qualitatives mais aussi quantitatives : c'est la modélisation mathématique. Remarquons qu'à coté des champs d'applications traditionnels que sont la chimie, le mécanique et la physique se sont ouverts de nouvelles perspectives en biologie, environnement, finance, médecine et sciences sociales. Par ailleurs, l'ingénieur ou le scientifique qui a réussi à simuler numériquement son problème ne s'arrête pas en si bon chemin: il veut ensuite pouvoir intervenir sur certains paramètres pour améliorer ou optimiser le fonctionnement, le rendement, ou la réponse d'un système en maximisant (ou minimisant) des fonctions associées. C'est précisément le but de l'optimisation qui fournit des outils théoriques ou numériques pour ce faire. L'analyse numérique et l'optimisation sont donc deux outils essentiels et complémentaires de la modélisation mathématique. Des travaux pratiques de simulation numérique à l'aide des logiciels Scilab et FreeFem++ accompagnent cet ouvrage et sont disponibles sur le site web http://www.cmap.polytechnique.fr/~allaire/



Proceedings Of The 15th International Meshing Roundtable


Proceedings Of The 15th International Meshing Roundtable
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Author : Philippe P. Pebay
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-07

Proceedings Of The 15th International Meshing Roundtable written by Philippe P. Pebay and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-07 with Computers categories.


The papers in this volume were selected for presentation at the 15th International Meshing Roundtable, held September 17–20, 2006 in Birmingham, Alabama, U.S.A.. The conference was started by Sandia National Laboratories in 1992 as a small meeting of organizations striving to establish a common focus for research and development in the field of mesh generation. Now after 15 consecutive years, the International Meshing Roundtable has become recognized as an international focal point annually attended by researchers and developers from dozens of countries around the world. The 15th International Meshing Roundtable consists of technical presentations from contributed papers, keynote and invited talks, short course presentations, and a poster session and competition. The Program Committee would like to express its appreciation to all who participate to make the IMR a successful and enriching experience. The papers in these proceedings were selected from among 42 submissions by the Program Committee. Based on input from peer reviews, the committee selected these papers for their perceived quality, originality, and appropriateness to the theme of the International Meshing Roundtable. The Program Committee would like to thank all who submitted papers. We would also like to thank the colleagues who provided reviews of the submitted papers. The names of the reviewers are acknowledged in the following pages. As Program Chair, I would like to extend special thanks to the Program Committee and to the Conference Coordinators for their time and effort to make the 15th IMR another outstanding conference.



Probl Mes D Optimisation Continue


Probl Mes D Optimisation Continue
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Author : Olivier Lafitte
language : fr
Publisher: Editions Ellipses
Release Date : 2023-03-07

Probl Mes D Optimisation Continue written by Olivier Lafitte and has been published by Editions Ellipses this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-07 with Mathematics categories.


Cet ouvrage est un recueil de problèmes corrigés qui permettent, à travers des cas réalistes, de se confronter à des problèmes complets. Ils vont au-delà de l’aspect « académique » de validation des compétences et permettront aux lecteurs d’avoir des cas d’application. Tous les calculs sont détaillés dans les solutions, le lecteur pourra donc vérifier qu’il applique correctement les techniques du résumé. Les problèmes présentant une application sont suffisamment spécifiques et originaux pour ne pas être dans la majorité des cours. Cet ouvrage s’adresse aux étudiants en Master ou écoles d’ingénieur en optimisation continue.



Inverse Problems In Mechanics Of Materials


Inverse Problems In Mechanics Of Materials
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Author : H. D. Bui
language : en
Publisher: Springer
Release Date : 1994-06-23

Inverse Problems In Mechanics Of Materials written by H. D. Bui and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-06-23 with Mathematics categories.


Inverse Problems in the Mechanics of Materials concentrates on two timely subjects: Ill-posed inverse problems related to defect identification; and the mechanics of homogeneous and heterogeneous media, including such topics as cracked bodies, solids with interfaces or inclusions, and materials rendered inhomogeneous by irreversible deformation due to their thermomechanical history. These intriguing subjects are not found together in previous publications. Written in a unique, easy-to-read format, Inverse Problems in the Mechanics of Materials provides quick access to current information. It includes up-to-date references and many recent results, particularly in such classical subjects as elasticity, plasticity, and fracture mechanics. The reader discovers numerous recipes for solving inverse problems, and reviews of available methods provide applications to real-life problems in industry.



Augmented Lagrangian And Operator Splitting Methods In Nonlinear Mechanics


Augmented Lagrangian And Operator Splitting Methods In Nonlinear Mechanics
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Author : Ronald Glowinski
language : en
Publisher: SIAM
Release Date : 1989-01-01

Augmented Lagrangian And Operator Splitting Methods In Nonlinear Mechanics written by Ronald Glowinski and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Science categories.


A need for a deeper understanding of the convergence properties of augmented Lagrangian algorithms and of their relationship to operator-splitting methods such as alternating-methods direction and the development of more efficient algorithms prompted the authors to write this book. The volume is oriented to applications in continuum mechanics. This volume deals with the numerical simulation of the behavior of continuous media by augmented Lagrangian and operator-splitting methods (coupled to finite-element approximations). It begins with a description of the mechanical and mathematical frameworks of the considered applications as well as a general analysis of the basic numerical methods additionally used to study them. These ideas are then applied to specific classes of mechanical problems.



Numerical Modeling In Materials Science And Engineering


Numerical Modeling In Materials Science And Engineering
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Author : Michel Rappaz
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-11-05

Numerical Modeling In Materials Science And Engineering written by Michel Rappaz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-05 with Technology & Engineering categories.


Computing application to materials science is one of the fastest-growing research areas. This book introduces the concepts and methodologies related to the modeling of the complex phenomena occurring in materials processing. It is intended for undergraduate and graduate students in materials science and engineering, mechanical engineering and physics, and for engineering professionals or researchers.



Sch Mas Num Riques Stables Pour Fluides Structures Et Leurs Interactions


Sch Mas Num Riques Stables Pour Fluides Structures Et Leurs Interactions
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Author : Cornel Marius Murea
language : fr
Publisher: ISTE Group
Release Date : 2017-10-01

Sch Mas Num Riques Stables Pour Fluides Structures Et Leurs Interactions written by Cornel Marius Murea and has been published by ISTE Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-01 with Differential equations, Partial categories.


Cet ouvrage examine des schémas numériques stables pour fluides incompressibles, structures élastiques linéaires et non linéaires, ainsi que pour l’interaction fluide-structure. Il expose une sélection de méthodes fondamentales, mais aussi quelques nouvelles approches. Pour les fluides gouvernés par les équations de Stokes et de Navier-Stokes, cet ouvrage présente la méthode des éléments finis mixtes. Dans le cas où le domaine occupé par le fluide est en mouvement, le formalisme ALE (Arbitrary Lagrangian Eulerian) est employé. Des schémas sont analysés pour les structures élastiques linéaires ou qui vérifient le modèle de Saint Venant- Kirchhoff. Pour l'interaction fluide-structure, l’ouvrage expose d'abord un schéma implicite, puis un schéma semi-implicite où le domaine du fluide est calculé d'une manière explicite. L’auteur donne la démonstration détaillée de la stabilité pour chaque schéma présenté. Chaque chapitre se termine par des tests numériques qui confirment les résultats théoriques. Cet ouvrage s’adresse aux étudiants en Master 2 mathématiques ainsi qu’aux élèves des écoles d’ingénieurs.



Analyse Numerique


Analyse Numerique
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Author :
language : fr
Publisher:
Release Date : 1983

Analyse Numerique written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.




Analyse Num Rique


Analyse Num Rique
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Author : Jacques-Louis Lions
language : fr
Publisher:
Release Date : 1973

Analyse Num Rique written by Jacques-Louis Lions and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.




Revue Roumaine De Math Matiques Pures Et Appliques


Revue Roumaine De Math Matiques Pures Et Appliques
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Author :
language : en
Publisher:
Release Date : 2003

Revue Roumaine De Math Matiques Pures Et Appliques written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.