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Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics
 

Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics (Paperback, 2nd Revised edition)

By Elman, Howard C.
By Silvester, David J.
By Wathen, Andy

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This book is a description of why and how to do Scientific Computing for fundamental models of fluid flow. It contains introduction, motivation, analysis, and algorithms and is closely tied to freely available MATLAB codes that implement the methods described. The focus is on fin...ite element approximation methods and fast iterative solution methods for the consequent linear(ized) systems arising in important problems that model incompressible fluid flow. The problems addressed are the Poisson equation, Convection-Diffusion problem, Stokes problem and Navier-Stokes problem, including new material on time-dependent problems and models of multi-physics. The corresponding iterative algebra based on preconditioned Krylov subspace and multigrid techniques is for symmetric and positive definite, nonsymmetric positive definite, symmetric indefinite and nonsymmetric indefinite matrix systems respectively. For each problem and associated solvers there is a description of how to compute together with theoretical analysis that guides the choice of approaches and describes what happens in practice in the many illustrative numerical results throughout the book (computed with the freely downloadable IFISS software). All of the 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. Developments in the field since the first edition was published have been represented in three new chapters covering optimization with PDE constraints (Chapter 5); solution of unsteady Navier-Stokes equations (Chapter 10); solution of models of buoyancy-driven flow (Chapter 11). Each chapter has many theoretical problems and practical computer exercises that involve the use of the IFISS software. This book is suitable as an introduction to iterative linear solvers or more generally as a model of Scientific Computing at an advanced undergraduate or beginning graduate level.
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ISBN 9780199678808
Released NZ 19 Jun 2014
Publisher Oxford University Press (S2)
Format Paperback, 2nd Revised edition
Alternate Format(s) View All (1 other possible title(s) available)
Series Numerical Mathematics & Scientific Computation
Availability
Indent title (sourced internationally), usually ships 4-6 weeks post release/order

Full details for this title

ISBN-13 9780199678808
Stock Available
Status Indent title (sourced internationally), usually ships 4-6 weeks post release/order
Publisher Oxford University Press (S2)
Imprint Oxford University Press
Released 19 Jun 2014
Publication Country United Kingdom United Kingdom
Format Paperback, 2nd Revised edition
Edition 2nd Revised edition
Author(s) By Elman, Howard C.
By Silvester, David J.
By Wathen, Andy
Series Numerical Mathematics & Scientific Computation
Category Algebra
Numerical Analysis
Applied Mathematics
Fluid Mechanics (Physics)
Mechanical Engineering
Number of Pages 494
Dimensions Width: 150mm
Height: 236mm
Spine: 28mm
Dewey Code 532.0510113
Weight 744g
Interest Age 19+ years
Reading Age 19+ years
Library of Congress Differential equations, Partial, Finite element method, Computational fluid dynamics
NBS Text Science & Mathematics: Textbooks & Study Guides
ONIX Text College/higher education

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