Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 568
Book Description
Colloque international des techniques de calcul analogique et numérique en aéronautique
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 568
Book Description
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 568
Book Description
Méthodes mathématiques et numériques pour les équations aux dérivées partielles
Author: CHASKALOVIC Joël
Publisher: Lavoisier
ISBN: 2743064803
Category :
Languages : en
Pages : 382
Book Description
Qu’il s’agisse d’applications en physique ou en mécanique, en médecine ou en biologie, mais aussi en économie, dans les médias et en marketing, ou encore dans le domaine des finances, la traduction phénoménologique du système étudié conduit très souvent à la résolution d’équations différentielles ou aux dérivées partielles. Incontestablement, ce sont les éléments finis qui ont bouleversé le monde de l’approximation numérique des équations aux dérivées partielles. Cet ouvrage est composé de deux parties : la première est un abrégé de cours portant sur les outils de base de l’analyse mathématique des équations aux dérivées partielles et la seconde contient des problèmes corrigés qui abordent l’approximation par éléments finis des formulations variationnelles des problèmes aux limites elliptiques. Des applications en mécanique des solides déformables, à la résistance des matériaux, en mécanique des fluides et en thermique ainsi que quelques problèmes non linéaires y sont présentés.Cet ouvrage s'adresse aux étudiants en sciences et techniques de l'ingénieur des universités et des grandes écoles.
Publisher: Lavoisier
ISBN: 2743064803
Category :
Languages : en
Pages : 382
Book Description
Qu’il s’agisse d’applications en physique ou en mécanique, en médecine ou en biologie, mais aussi en économie, dans les médias et en marketing, ou encore dans le domaine des finances, la traduction phénoménologique du système étudié conduit très souvent à la résolution d’équations différentielles ou aux dérivées partielles. Incontestablement, ce sont les éléments finis qui ont bouleversé le monde de l’approximation numérique des équations aux dérivées partielles. Cet ouvrage est composé de deux parties : la première est un abrégé de cours portant sur les outils de base de l’analyse mathématique des équations aux dérivées partielles et la seconde contient des problèmes corrigés qui abordent l’approximation par éléments finis des formulations variationnelles des problèmes aux limites elliptiques. Des applications en mécanique des solides déformables, à la résistance des matériaux, en mécanique des fluides et en thermique ainsi que quelques problèmes non linéaires y sont présentés.Cet ouvrage s'adresse aux étudiants en sciences et techniques de l'ingénieur des universités et des grandes écoles.
Numerical Methods
Author: Jean-Michel Tanguy
Publisher: John Wiley & Sons
ISBN: 1118588258
Category : Science
Languages : en
Pages : 291
Book Description
This series of five volumes proposes an integrated description of physical processes modeling used by scientific disciplines from meteorology to coastal morphodynamics. Volume 1 describes the physical processes and identifies the main measurement devices used to measure the main parameters that are indispensable to implement all these simulation tools. Volume 2 presents the different theories in an integrated approach: mathematical models as well as conceptual models, used by all disciplines to represent these processes. Volume 3 identifies the main numerical methods used in all these scientific fields to translate mathematical models into numerical tools. Volume 4 is composed of a series of case studies, dedicated to practical applications of these tools in engineering problems. To complete this presentation, volume 5 identifies and describes the modeling software in each discipline.
Publisher: John Wiley & Sons
ISBN: 1118588258
Category : Science
Languages : en
Pages : 291
Book Description
This series of five volumes proposes an integrated description of physical processes modeling used by scientific disciplines from meteorology to coastal morphodynamics. Volume 1 describes the physical processes and identifies the main measurement devices used to measure the main parameters that are indispensable to implement all these simulation tools. Volume 2 presents the different theories in an integrated approach: mathematical models as well as conceptual models, used by all disciplines to represent these processes. Volume 3 identifies the main numerical methods used in all these scientific fields to translate mathematical models into numerical tools. Volume 4 is composed of a series of case studies, dedicated to practical applications of these tools in engineering problems. To complete this presentation, volume 5 identifies and describes the modeling software in each discipline.
Sixième Colloque International Sur Les Méthodes de Calcul Scientifique Et Technique, 12-16 Décembre 1983
Author:
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 476
Book Description
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 476
Book Description
Analyse numérique en électromagnétisme : la méthode TLM (Collection Micro et nanoélectronique micro et nanosystèmes)
Author: SAGUET Pierre
Publisher: Lavoisier
ISBN: 274628121X
Category :
Languages : en
Pages : 178
Book Description
La méthode TLM (Transmission Line Matrix) permet de résoudre un problème d'électromagnétisme et d'analyser le comportement de certains milieux. Il s'agit d'un outil performant qui bénéficie d'un développement important. Sa capacité à simuler avec précision des situations variées incluant des matériaux complexes est démontrée. Cet ouvrage en expose les bases théoriques et les principaux développements. La méthode historique en deux et trois dimensions et les dernières évolutions y sont détaillées pour aboutir aux noeuds sophistiqués les plus utilisés. Les simulations des milieux fermés et ouverts sont traitées et en particulier les frontières absorbantes (PML) pour les milieux ouverts. L'introduction d'éléments passifs ou actifs, la simulation de fils minces, la simulation des milieux dispersifs comme les plasmas ou les ferrites par l'utilisation de la transformée en Z sont étudiées.
Publisher: Lavoisier
ISBN: 274628121X
Category :
Languages : en
Pages : 178
Book Description
La méthode TLM (Transmission Line Matrix) permet de résoudre un problème d'électromagnétisme et d'analyser le comportement de certains milieux. Il s'agit d'un outil performant qui bénéficie d'un développement important. Sa capacité à simuler avec précision des situations variées incluant des matériaux complexes est démontrée. Cet ouvrage en expose les bases théoriques et les principaux développements. La méthode historique en deux et trois dimensions et les dernières évolutions y sont détaillées pour aboutir aux noeuds sophistiqués les plus utilisés. Les simulations des milieux fermés et ouverts sont traitées et en particulier les frontières absorbantes (PML) pour les milieux ouverts. L'introduction d'éléments passifs ou actifs, la simulation de fils minces, la simulation des milieux dispersifs comme les plasmas ou les ferrites par l'utilisation de la transformée en Z sont étudiées.
Numerical Methods for Energy Applications
Author: Naser Mahdavi Tabatabaei
Publisher: Springer Nature
ISBN: 303062191X
Category : Technology & Engineering
Languages : en
Pages : 1033
Book Description
This book provides a thorough guide to the use of numerical methods in energy systems and applications. It presents methods for analysing engineering applications for energy systems, discussing finite difference, finite element, and other advanced numerical methods. Solutions to technical problems relating the application of these methods to energy systems are also thoroughly explored. Readers will discover diverse perspectives of the contributing authors and extensive discussions of issues including: • a wide variety of numerical methods concepts and related energy systems applications;• systems equations and optimization, partial differential equations, and finite difference method;• methods for solving nonlinear equations, special methods, and their mathematical implementation in multi-energy sources;• numerical investigations of electrochemical fields and devices; and• issues related to numerical approaches and optimal integration of energy consumption. This is a highly informative and carefully presented book, providing scientific and academic insight for readers with an interest in numerical methods and energy systems.
Publisher: Springer Nature
ISBN: 303062191X
Category : Technology & Engineering
Languages : en
Pages : 1033
Book Description
This book provides a thorough guide to the use of numerical methods in energy systems and applications. It presents methods for analysing engineering applications for energy systems, discussing finite difference, finite element, and other advanced numerical methods. Solutions to technical problems relating the application of these methods to energy systems are also thoroughly explored. Readers will discover diverse perspectives of the contributing authors and extensive discussions of issues including: • a wide variety of numerical methods concepts and related energy systems applications;• systems equations and optimization, partial differential equations, and finite difference method;• methods for solving nonlinear equations, special methods, and their mathematical implementation in multi-energy sources;• numerical investigations of electrochemical fields and devices; and• issues related to numerical approaches and optimal integration of energy consumption. This is a highly informative and carefully presented book, providing scientific and academic insight for readers with an interest in numerical methods and energy systems.
Author:
Publisher: Odile Jacob
ISBN: 273819382X
Category :
Languages : en
Pages : 270
Book Description
Publisher: Odile Jacob
ISBN: 273819382X
Category :
Languages : en
Pages : 270
Book Description
The Finite Element Method for Electromagnetic Modeling
Author: Gérard Meunier
Publisher: John Wiley & Sons
ISBN: 0470393807
Category : Science
Languages : en
Pages : 618
Book Description
Written by specialists of modeling in electromagnetism, this book provides a comprehensive review of the finite element method for low frequency applications. Fundamentals of the method as well as new advances in the field are described in detail. Chapters 1 to 4 present general 2D and 3D static and dynamic formulations by the use of scalar and vector unknowns and adapted interpolations for the fields (nodal, edge, face or volume). Chapter 5 is dedicated to the presentation of different macroscopic behavior laws of materials and their implementation in a finite element context: anisotropy and hysteretic properties for magnetic sheets, iron losses, non-linear permanent magnets and superconductors. More specific formulations are then proposed: the modeling of thin regions when finite elements become misfit (Chapter 6), infinite domains by using geometrical transformations (Chapter 7), the coupling of 2D and 3D formulations with circuit equations (Chapter 8), taking into account the movement, particularly in the presence of Eddy currents (Chapter 9) and an original approach for the treatment of geometrical symmetries when the sources are not symmetric (Chapter 10). Chapters 11 to 13 are devoted to coupled problems: magneto-thermal coupling for induction heating, magneto-mechanical coupling by introducing the notion of strong and weak coupling and magneto-hydrodynamical coupling focusing on electromagnetic instabilities in fluid conductors. Chapter 14 presents different meshing methods in the context of electromagnetism (presence of air) and introduces self-adaptive mesh refinement procedures. Optimization techniques are then covered in Chapter 15, with the adaptation of deterministic and probabilistic methods to the numerical finite element environment. Chapter 16 presents a variational approach of electromagnetism, showing how Maxwell equations are derived from thermodynamic principles.
Publisher: John Wiley & Sons
ISBN: 0470393807
Category : Science
Languages : en
Pages : 618
Book Description
Written by specialists of modeling in electromagnetism, this book provides a comprehensive review of the finite element method for low frequency applications. Fundamentals of the method as well as new advances in the field are described in detail. Chapters 1 to 4 present general 2D and 3D static and dynamic formulations by the use of scalar and vector unknowns and adapted interpolations for the fields (nodal, edge, face or volume). Chapter 5 is dedicated to the presentation of different macroscopic behavior laws of materials and their implementation in a finite element context: anisotropy and hysteretic properties for magnetic sheets, iron losses, non-linear permanent magnets and superconductors. More specific formulations are then proposed: the modeling of thin regions when finite elements become misfit (Chapter 6), infinite domains by using geometrical transformations (Chapter 7), the coupling of 2D and 3D formulations with circuit equations (Chapter 8), taking into account the movement, particularly in the presence of Eddy currents (Chapter 9) and an original approach for the treatment of geometrical symmetries when the sources are not symmetric (Chapter 10). Chapters 11 to 13 are devoted to coupled problems: magneto-thermal coupling for induction heating, magneto-mechanical coupling by introducing the notion of strong and weak coupling and magneto-hydrodynamical coupling focusing on electromagnetic instabilities in fluid conductors. Chapter 14 presents different meshing methods in the context of electromagnetism (presence of air) and introduces self-adaptive mesh refinement procedures. Optimization techniques are then covered in Chapter 15, with the adaptation of deterministic and probabilistic methods to the numerical finite element environment. Chapter 16 presents a variational approach of electromagnetism, showing how Maxwell equations are derived from thermodynamic principles.
Adjoint Equations and Perturbation Algorithms in Nonlinear Problems
Author: Guri I. Marchuk
Publisher: CRC Press
ISBN: 1351468804
Category : Mathematics
Languages : en
Pages : 288
Book Description
Sparked by demands inherent to the mathematical study of pollution, intensive industry, global warming, and the biosphere, Adjoint Equations and Perturbation Algorithms in Nonlinear Problems is the first book ever to systematically present the theory of adjoint equations for nonlinear problems, as well as their application to perturbation algorithms. This new approach facilitates analysis of observational data, the application of adjoint equations to retrospective study of processes governed by imitation models, and the study of computer models themselves. Specifically, the book discusses: Principles for constructing adjoint operators in nonlinear problems Properties of adjoint operators and solvability conditions for adjoint equations Perturbation algorithms using the adjoint equations theory for nonlinear problems in transport theory, quasilinear motion, substance transfer, and nonlinear data assimilation Known results on adjoint equations and perturbation algorithms in nonlinear problems This groundbreaking text contains some results that have no analogs in the scientific literature, opening unbounded possibilities in construction and application of adjoint equations to nonlinear problems of mathematical physics.
Publisher: CRC Press
ISBN: 1351468804
Category : Mathematics
Languages : en
Pages : 288
Book Description
Sparked by demands inherent to the mathematical study of pollution, intensive industry, global warming, and the biosphere, Adjoint Equations and Perturbation Algorithms in Nonlinear Problems is the first book ever to systematically present the theory of adjoint equations for nonlinear problems, as well as their application to perturbation algorithms. This new approach facilitates analysis of observational data, the application of adjoint equations to retrospective study of processes governed by imitation models, and the study of computer models themselves. Specifically, the book discusses: Principles for constructing adjoint operators in nonlinear problems Properties of adjoint operators and solvability conditions for adjoint equations Perturbation algorithms using the adjoint equations theory for nonlinear problems in transport theory, quasilinear motion, substance transfer, and nonlinear data assimilation Known results on adjoint equations and perturbation algorithms in nonlinear problems This groundbreaking text contains some results that have no analogs in the scientific literature, opening unbounded possibilities in construction and application of adjoint equations to nonlinear problems of mathematical physics.
The Theory of Matrices in Numerical Analysis
Author: Alston S. Householder
Publisher: Courier Corporation
ISBN: 0486145638
Category : Mathematics
Languages : en
Pages : 274
Book Description
This text presents selected aspects of matrix theory that are most useful in developing computational methods for solving linear equations and finding characteristic roots. Topics include norms, bounds and convergence; localization theorems; more. 1964 edition.
Publisher: Courier Corporation
ISBN: 0486145638
Category : Mathematics
Languages : en
Pages : 274
Book Description
This text presents selected aspects of matrix theory that are most useful in developing computational methods for solving linear equations and finding characteristic roots. Topics include norms, bounds and convergence; localization theorems; more. 1964 edition.