Guaranteed Estimates of Functionals from Solutions and Data of Interior Maxwell Problems Under Uncertainties
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
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. © Springer International Publishing Switzerland 2013.
Place, publisher, year, edition, pages
2013. Vol. 52, 135-167 p.
Estimation, Constructive methods; Estimation errors; Exact solution; Functionals; Galerkin approximations; Optimal estimates; Right-hand sides; Variational equations, Uncertainty analysis
Research subject Mathematics
IdentifiersURN: urn:nbn:se:kau:diva-44270DOI: 10.1007/978-3-319-00660-4_10ScopusID: 2-s2.0-84885690338OAI: oai:DiVA.org:kau-44270DiVA: diva2:945329