Jones, A.C. and Jimack, P.K. (2005) An adaptive multigrid tool for elliptic and parabolic systems. International Journal for Numerical Methods in Fluids, 47 (10-11). pp. 1123-1128. ISSN 0271-2091Full text available as:
Available under licence : See the attached licence file.
This paper describes a multigrid tool for use with adaptively refined meshes in two dimensions. A standard full approximation storage (FAS) multigrid scheme is modified to maintain efficient performance on non-uniform grids arising as a result of local mesh refinement. This is achieved by allowing hanging nodes to exist but ensuring that at each stage of the FAS algorithm the solution is projected into the continuous space in which the hanging node values are interpolants of their coarse grid parent values. A non-linear, elliptic, finite element example is provided to demonstrate the efficiency of the proposed algorithm. However, the method is also suitable for linear and non-linear parabolic problems.
|Copyright, Publisher and Additional Information:||© 2005 John Wiley & Sons, Ltd. This is an author produced version of a paper published in 'International Journal for Numerical Methods in Fluids'.|
|Institution:||The University of Leeds|
|Academic Units:||The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds)|
|Depositing User:||Repository Assistant|
|Date Deposited:||13 Dec 2006|
|Last Modified:||06 Jun 2014 14:15|
|Publisher:||John Wiley & Sons, Ltd.|
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