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Finite element and fast iterative solvers / Howard C. Elman

Public ISBD Titre : Finite element and fast iterative solvers : with applicatios in incompressible fluid dynamics Type de document : texte imprimé Auteurs : Howard C. Elman, Auteur ; David J. Silvester, Auteur ; Andrew J. Wathen, Auteur Editeur : Oxford : Oxford university press Année de publication : 2005 Collection : Numerical mathematics and scientific computation Importance : 400 p. Présentation : ill. Format : 25 cm ISBN/ISSN/EAN : 978-0-19-852868-5 Langues : Anglais (eng) Mots-clés : Fluides,  Dynamique  des Équations  différentielles Éléments  finis,  Méthode  des Fluid  dynamics  --  Data  processing Differential  equations,  Partial Finite  element  method Index. décimale : 532.5 Mouvement des liquides. Hydrodynamique. Résumé : The subject of this book is the efficient solution of partial differential equations (PDEs) that arise when modelling incompressible fluid flow. The material is organized into four groups of two chapters each, covering the Poisson equation (chapters 1 & 2); the convection-diffucion equation (chapters 3 & 4); the Stokes equations (chapters 5 & 6); and the Navier-Stokes equations (chapters 7 & 8). These equations represent important models within the domain of computational fluid dynamics, but they also arise in many other settings. For each PDE model, there is a chapter concerned with finite element discretization. For each problem and associated solvers there is a description of how to compute along with theoretical analysis which guides the choice of approaches. Illustrative numerical results occur throughout the book, which have been computed with the freely downloadable IFISS software. All numerical results should be reproducible by readers who have access to MATLAB and there is considerable scope for experimentation in the 'computational laboratory' provided by the software. This book provides an excellent introduction to finite elements, iterative linear solvers and scientific computing aimed at graduates in engineering, numerical analysis, applied mathematics and interdisciplinary scientific computing. Including theoretical problems and practical exercises closely tied with freely downloadable MATLAB software, this book is an ideal teaching and learning resource. Note de contenu : Table des matières *Models of Incompressible Fluid Flow; The Poisson Equation *Solution of Discrete Poisson Problems; The Convection-Diffusion Equation *Solution of Discrete Convection-Diffusion Problems; * The Stokes Equations; Solution of Discrete Stokes Problems *The Navier-Stokes Equations; Solution of Discrete Navier-Stokes Problems Finite element and fast iterative solvers : with applicatios in incompressible fluid dynamics [texte imprimé] / Howard C. Elman, Auteur ; David J. Silvester, Auteur ; Andrew J. Wathen, Auteur . - Oxford, 2005 . - 400 p. : ill. ; 25 cm. - (Numerical mathematics and scientific computation) . ISBN : 978-0-19-852868-5 Langues : Anglais (eng) Mots-clés : Fluides,  Dynamique  des Équations  différentielles Éléments  finis,  Méthode  des Fluid  dynamics  --  Data  processing Differential  equations,  Partial Finite  element  method Index. décimale : 532.5 Mouvement des liquides. Hydrodynamique. Résumé : The subject of this book is the efficient solution of partial differential equations (PDEs) that arise when modelling incompressible fluid flow. The material is organized into four groups of two chapters each, covering the Poisson equation (chapters 1 & 2); the convection-diffucion equation (chapters 3 & 4); the Stokes equations (chapters 5 & 6); and the Navier-Stokes equations (chapters 7 & 8). These equations represent important models within the domain of computational fluid dynamics, but they also arise in many other settings. For each PDE model, there is a chapter concerned with finite element discretization. For each problem and associated solvers there is a description of how to compute along with theoretical analysis which guides the choice of approaches. Illustrative numerical results occur throughout the book, which have been computed with the freely downloadable IFISS software. All numerical results should be reproducible by readers who have access to MATLAB and there is considerable scope for experimentation in the 'computational laboratory' provided by the software. This book provides an excellent introduction to finite elements, iterative linear solvers and scientific computing aimed at graduates in engineering, numerical analysis, applied mathematics and interdisciplinary scientific computing. Including theoretical problems and practical exercises closely tied with freely downloadable MATLAB software, this book is an ideal teaching and learning resource. Note de contenu : Table des matières *Models of Incompressible Fluid Flow; The Poisson Equation *Solution of Discrete Poisson Problems; The Convection-Diffusion Equation *Solution of Discrete Convection-Diffusion Problems; * The Stokes Equations; Solution of Discrete Stokes Problems *The Navier-Stokes Equations; Solution of Discrete Navier-Stokes Problems

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Code-barres	Cote	Support	Localisation	Section	Disponibilité	Etat_Exemplaire
049127	532.5 ELM	Papier	Bibliothèque Centrale	Physique	Disponible