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Full Record Details
Persistent URL
http://purl.org/net/epubs/work/40695
Record Status
Checked
Record Id
40695
Title
Stopping criteria for mixed finite element problems
Contributors
M Arioli (STFC Rutherford Appleton Lab.)
,
D Loghin (Birmingham U.)
Abstract
We study stopping criteria that are suitable in the solution by Krylov space based methods of linear and non linear systems of equations arising from the mixed and the mixed-hybrid finite-element approximation of saddle point problems. Our approach is based on the equivalence between the Babuska and Brezzi conditions of stability which allows us to apply some of the results obtained in Arioli, Loghin and Wathen (2005). Our proposed criterion involves evaluating the residual in a norm defined on the discrete dual of the space where we seek a solution. We illustrate our approach using standard iterative methods such as MINRES and GMRES. We test our criteria on Stokes and Navier-Stokes problems both in a linear and nonlinear context.
Organisation
CCLRC
,
CSE
,
CSE-NAG
Keywords
SSTD 2006-2007
,
Iterative methods (GMRES, MINRES)
,
Stopping criteria
,
Engineering
,
Navier-Stokes equation
Funding Information
Related Research Object(s):
Licence Information:
Language
English (EN)
Type
Details
URI(s)
Local file(s)
Year
Report
RAL Technical Reports
RAL-TR-2006-010. 2006.
arloRAL2006010.pdf
2006
Journal Article
Electronic Transactions on Numerical Analysis 29 (2008): 178-192.
pp178-192.pdf
2008
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