Finite Elements and Fast Iterative Solvers: with Applications in Incompressible

Description: Finite Elements and Fast Iterative Solvers by Andy Wathen, Howard Elman, David Silvester Estimated delivery 3-12 business days Format Hardcover Condition Brand New Description A practical graduate text on Scientific Computing with a focus on numerical solution of partial differential equations and numerical linear algebra. This book, and its associated freely downloadable MATLAB software, is relevant to engineers, applied mathematicians, numerical analysts, and people working in interdisciplinary Scientific Computing. Publisher Description 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 finite element approximation methods and fast iterative solution methods for the consequent linear(ized) systems arising in important problems that model incompressiblefluid 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 ofmulti-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 numericalresults 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 scopefor 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 theuse 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 graduatelevel. Author Biography Howard Elman is a Professor in the Computer Science Department and the Institute for Advanced Computer Studies at the University of Maryland, College Park. He received his doctorate in Computer Science from Yale University in 1982. He has held visiting positions at Stanford University, the University of Manchester Institute of Science and Technology and the University of Oxford. He has served on the editorial boards of SIAM Journal on Scientific Computing, where hewas editor-in-chief from 1998-2004, Mathematics of Computation, and Numerical Linear Algebra with Applications. His research concerns numerical solution of partial differential equations,computational fluid dynamics, sparse matrix methods, and uncertainty quantification.David Silvester is a Professor in the School of Mathematics at The University of Manchester. His research concerns numerical solution of partial differential equations, computational fluid dynamics, uncertainty quantification, and high performance computing. He received his doctorate in Mathematics from the University of Manchester Institute of Science and Technology in 1984 and has had visiting positions at Stanford University, the University of Maryland at College Park, and theUniversité du Littoral, France. He has served on the editorial boards of SIAM Journal on Scientific Computing and the International Journal for Numerical Methods in Fluids.Andy Wathen is Reader in Numerical Analysis at the Oxford University Mathematical Institute, UK and a Fellow at New College. His research focuses on Scientific Computing methods and algorithms associated with the numerical solution of partial differential equations, particularly algorithms of numerical linear algebra. Applications range from coolant flows to biological patterning. He received his doctorate from Reading University in 1982 and has held visiting positions at Stanford University,the University of California, Berkeley and at the University of New South Wales. He has served on the editorial boards of the IMA Journal on Numerical Analysis, SIAM Journal on Scientific Computing,SIAM Journal on Matrix Analysis and Applications, Numerical Linear Algebra with Applications and Electronic Transactions on Numerical Analysis. Details ISBN 0199678790 ISBN-13 9780199678792 Title Finite Elements and Fast Iterative Solvers Author Andy Wathen, Howard Elman, David Silvester Format Hardcover Year 2014 Pages 494 Edition 2nd Publisher Oxford University Press GE_Item_ID:139704359; About Us Grand Eagle Retail is the ideal place for all your shopping needs! With fast shipping, low prices, friendly service and over 1,000,000 in stock items - you're bound to find what you want, at a price you'll love! Shipping & Delivery Times Shipping is FREE to any address in USA. Please view eBay estimated delivery times at the top of the listing. Deliveries are made by either USPS or Courier. We are unable to deliver faster than stated. International deliveries will take 1-6 weeks. NOTE: We are unable to offer combined shipping for multiple items purchased. This is because our items are shipped from different locations. 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