A posteriori error bounds for approximations of the oseen problem and applications to the uzawa iteration algorithm
Nokka, M., & Repin, S. (2014). A posteriori error bounds for approximations of the oseen problem and applications to the uzawa iteration algorithm. Computational Methods in Applied Mathematics, 14(3), 373-383. https://doi.org/10.1515/cmam-2014-0010
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Computational Methods in Applied MathematicsDate
2014Copyright
© 2011–2014 by Walter de Gruyter GmbH. This is an article whose final and definitive form has been published by Walter de Gruyter GmbH.
Abstract:
We derive computable bounds of deviations from the exact solution of the stationary Oseen prob-
lem. They are applied to approximations generated by the Uzawa iteration method. Also, we derive an ad-
vanced form of the estimate, which takes into account approximation errors arising due to discretization of
the boundary value problem, generated by the main step of the Uzawa method. Numerical tests con rm our
theoretical results and show practical applicability of the estimates.
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Walter de Gruyter GmbHISSN Search the Publication Forum
1609-4840
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http://www.degruyter.com/view/j/cmam.2014.14.issue-3/cmam-2014-0010/cmam-2014-0010.xmlPublication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/23794274
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Except where otherwise noted, this item's license is described as © 2011–2014 by Walter de Gruyter GmbH. This is an article whose final and definitive form has been published by Walter de Gruyter GmbH.