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Guaranteed Estimates of Functionals from Solutions and Data of Interior Maxwell Problems Under Uncertainties
Kiev University, Kiev, Ukraine.
arlstad University, Karlstad, Sweden.
2013 (English)In: Springer Proceedings in Mathematics & statistics, ISSN 2194-1017, E-ISSN 2194-1009, Vol. 52, 135-167 p.Article in journal (Refereed) Published
Abstract [en]

We are looking for linear with respect to observations optimal estimates of solutions and right-hand sides of Maxwell equations called minimax or guaranteed estimates. We develop constructive methods for finding these estimates and estimation errors which are expressed in terms of solutions to special variational equations and prove that Galerkin approximations of the obtained variational equations converge to their exact solutions.

Place, publisher, year, edition, pages
2013. Vol. 52, 135-167 p.
Keyword [en]
Estimation, Constructive methods; Estimation errors; Exact solution; Functionals; Galerkin approximations; Optimal estimates; Right-hand sides; Variational equations, Uncertainty analysis
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-22870DOI: 10.1007/978-3-319-00660-4_10ScopusID: 2-s2.0-84885690338OAI: oai:DiVA.org:hig-22870DiVA: diva2:1050238
Available from: 2016-11-28 Created: 2016-11-28 Last updated: 2016-11-28Bibliographically approved

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Shestopalov, Yury V.
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