Finite Elements and Fast Iterative Solvers - With Applications in Incompressible Fluid Dynamics (Broché)

NUMERICAL MATHEMATICS AND SCIENTIFIC COMPUTATION is a series designed to provide texts and monographs for graduate students and researchers on a ,vide range of mathematical topics at the interface of computational science and numerical analysis. Finite Elements and Fast Iterative Solvers : With Applications in Incompressible Fluid Dynamics Howard Elman, David Silvester and Andy Wathen This book is a description of why and how to do scientific computing for fundamental models of fluid flow.
It contains motivation, analysis and algorithms and is closely tied to freely available MATLAB erodes that implement the methods described. The focus n finite element approximation methods and fast iterative solution methods for the consequent linearized) systems arising in important problems that model incompressible fluid flow. The problems addressed are the Poisson equation, the convection-diffusion problem, the Stokes problem and the Navier-Stokes problem, including new material on time-dependent problems and models of multiphysics.
Developments in the field since the first edition was published have been represented in three new chapters covering optimization with PDE constraints (Chapter 5) ; the solution of unsteady Navier-Stokes equations (Chapter 10) ; and the 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 freely downloadable 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.