Finite Elements and Fast Iterative Solvers: With Applications in Incompressible Fluid Dynamics (Numerical Mathematics and Scientific Computation)

Elman, Howard C.

ISBN 10: 019852868X / ISBN 13: 9780198528685

Verlag: Oxford University Press, Usa, 2005

Beschreibung

This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. Clean from markings. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,700grams, ISBN:9780198528685. Bestandsnummer des Verkäufers 8862342

Bibliografische Details

Titel: Finite Elements and Fast Iterative Solvers: ...

Verlag: Oxford University Press, Usa

Erscheinungsdatum: 2005

Einband: Softcover

Zustand: Good

Über diesen Titel

Inhaltsangabe:

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 and 2); the convection-diffusion equation (chapters 3 and 4); the Stokes equations (chapters 5 and 6); and the Navier-Stokes equations (chapters 7 and 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, and a companion chapter concerned with efficient iterative solution of the algebraic equations obtained from 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 fopr 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, it is an ideal teaching and learning resource.

Über die Autorin bzw. den Autor:

Howard C. Elman is at Department of Computer Science, University of Maryland. David J. Silvester is at Department of Mathematics, UMIST.