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Finite Elements and Fast Iterative Solverswith Applications in Incompressible Fluid Dynamics$
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Howard Elman, David Silvester, and Andy Wathen

Print publication date: 2014

Print ISBN-13: 9780199678792

Published to Oxford Scholarship Online: September 2014

DOI: 10.1093/acprof:oso/9780199678792.001.0001

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Solution of discrete Poisson problems

Solution of discrete Poisson problems

(p.70) 2 Solution of discrete Poisson problems
Finite Elements and Fast Iterative Solvers

A. M. Stuart

E. Söli

Oxford University Press

This chapter concerns iterative methods for solution of discrete convection-diffusion equations. It discusses Krylov subspace methods, principally the generalized minimum residual method, together with preconditioning strategies and multigrid methods, including convergence analysis of these methods.

Keywords:   iterative methods, conjugate gradient method, preconditioning, multigrid, convergence analysis

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