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. doi:10.1515/cmam-2014-0010
Published inComputational Methods in Applied Mathematics
© 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.
PublisherWalter de Gruyter GmbH