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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 amp 2 the convectiondiffucion equation chapters 3 amp 4 the Stokes equations chapters 5 amp 6 and the NavierStokes equations chapters 7 amp 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
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EAN: 9780191667923
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EAN: 9780521705189
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This definitive introduction to finite element methods was thoroughly updated for this 2007 third edition which features important material for both research and application of the finite element method The discussion of saddlepoint problems is a highlight of the book and has been elaborated to include many more nonstandard applications The chapter on applications in elasticity now contains a complete discussion of locking phenomena The numerical solution of elliptic partial differential equations is an important application of finite elements and the author discusses this subject comprehensively These equations are treated as variational problems for which the Sobolev spaces are the right framework Graduate students who do not necessarily have any particular background in differential equations but require an introduction to finite element methods will find this text invaluable Specifically the chapter on finite elements in solid mechanics provides a bridge between mathematics and engineering
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Discover information, advice, and prices for Finite Elements Theory Fast Solvers, priced at 25.94 $ : it belongs to the Books & Magazines category; this product is sold by Abebooks.com and made by .
This definitive introduction to finite element methods was thoroughly updated for this 2007 third edition which features important material for both research and application of the finite element method The discussion of saddlepoint problems is a highlight of the book and has been elaborated to include many more nonstandard applications The chapter on applications in elasticity now contains a complete discussion of locking phenomena The numerical solution of elliptic partial differential equations is an important application of finite elements and the author discusses this subject comprehensively These equations are treated as variational problems for which the Sobolev spaces are the right framework Graduate students who do not necessarily have any particular background in differential equations but require an introduction to finite element methods will find this text invaluable Specifically the chapter on finite elements in solid mechanics provides a bridge between mathematics and engineering
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