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Books > Science & Mathematics > Physics > Classical mechanics > Fluid mechanics
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Finite Elements and Fast Iterative Solvers - with Applications in Incompressible Fluid Dynamics (Hardcover, 2nd Revised edition)
Loot Price: R4,317
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Finite Elements and Fast Iterative Solvers - with Applications in Incompressible Fluid Dynamics (Hardcover, 2nd Revised edition)
Series: Numerical Mathematics and Scientific Computation
Expected to ship within 10 - 15 working days
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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 finite 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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