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with Applications in Incompressible Fluid Dynamics

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Numerical Analysis

Physics

Mechanical Engineering

Finite Elements and Fast Iterative Solvers

with Applications in Incompressible Fluid Dynamics

Howard C. Elman, David J. Silvester, and Andrew J. Wathen

Numerical Mathematics and Scientific Computation

416 pages | numerous line drawings, tables and mathematical examples | 234x156mm

978-0-19-852868-5 | Paperback | 19 May 2005

Also available as: Hardback laminated boards

Price: £40.00

This item is printed to order and supplied on a firm sale basis. Items which are printed to order are normally despatched and charged within 5-10 days.

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An excellent introduction to finite elements, iterative linear solvers and scientific computing
Contains theoretical problems and practical exercises
All methods and examples use freely available software
Focuses on theory and computation, not theory for computation
Describes approximation methods and numerical linear algebra

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.

Readership: Graduate students and researchers in engineering, numerical analysis, applied mathematics and interdisciplinary scientific computing.

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