IMUB UB
 


  Fast Solvers for Elliptic PDEs

David Silvester


This course will  discuss the design of fast iterative solvers for solving sparse systems of algebraic equations arising from finite difference or finite element approximation of elliptic partial differential equations. Our emphasis will be on "optimal" methods where the work (and cpu time) associated with solution process is proportional to the dimension of the discretized system. At the heart of such optimal complexity methods are algebraic or geometric multigrid cycles applied as preconditioners for Krylov subspace methods.

The following topics will be discussed.
The material will based on chapters 2,4,6 from our recent book: Howard Elman, David Silvester, Andy Wathen.
Finite Elements and Fast Iterative Solvers: with applications in incompressible fluid dynamics, Oxford University Press, Oxford, 2005. ISBN: 978-0-19-852868-5; 0-19-852868-X.

Lectures will be backed up with computational exercises based on the IFISS Matlab Toolbox, see http://www.manchester.ac.uk/ifiss/





Ingenio - Mathematica
MEC - CI 2010


 
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Institut de Matemàtica 
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Last modified: March 12, 2007