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Sibirskii Zhurnal Industrial'noi Matematiki, 2012, Volume 15, Number 1, Pages 145–154
(Mi sjim719)
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This article is cited in 1 scientific paper (total in 1 paper)
On estimating the error of an approximate solution to an overdetermined inverse problem of thermodiagnostics
V. P. Tananaa, I. A. Gaĭnovab, A. I. Sidikovaa a South Urals State University, Chelyabinsk, RUSSIA
b Sobolev Institute of Mathematics SB RAS, Novosibirsk, RUSSIA
Abstract:
Using a generalized projection regularization method, we solve an overdetermined inverse boundary value problem for the heat equation and obtain some estimates accurate in order for the error of this solution.
Keywords:
unbounded operator, Hilbert space, projection regularization operator, error estimates, approximate solutions.
Received: 16.05.2011 Revised: 12.12.2011
Citation:
V. P. Tanana, I. A. Gaǐnova, A. I. Sidikova, “On estimating the error of an approximate solution to an overdetermined inverse problem of thermodiagnostics”, Sib. Zh. Ind. Mat., 15:1 (2012), 145–154
Linking options:
https://www.mathnet.ru/eng/sjim719 https://www.mathnet.ru/eng/sjim/v15/i1/p145
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Abstract page: | 356 | Full-text PDF : | 130 | References: | 63 | First page: | 7 |
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