This article is cited in 2 scientific papers (total in 2 papers)
On optimal recovery of Dirichlet problem from a boundary function known approximately
E. V. Abramova
Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University), Moscow, Russia
The problem of best (optimal) recovery of a solution of the Dirichlet problem for the upper half-plane from the Fourier transform of the boundary functions known approximately in considered. A series of optimal recovery methods are found and the corresponding errors recovery are calculated.
îptimal recovery, extremal problem, Dirichlet's problem, Fourier transform.
PDF file (223 kB)
E. V. Abramova, “On optimal recovery of Dirichlet problem from a boundary function known approximately”, Vladikavkaz. Mat. Zh., 17:1 (2015), 3–13
Citation in format AMSBIB
\paper On optimal recovery of Dirichlet problem from a~boundary function known approximately
\jour Vladikavkaz. Mat. Zh.
Citing articles on Google Scholar:
Related articles on Google Scholar:
This publication is cited in the following articles:
G. G. Magaril-Il'yaev, E. O. Sivkova, “Optimal recovery of semi-group operators from inaccurate data”, Eurasian Math. J., 10:4 (2019), 75–84
G. G. Magaril-Il'yaev, K. Yu. Osipenko, E. O. Sivkova, “Optimal Recovery of Pipe Temperature from Inaccurate Measurements”, Proc. Steklov Inst. Math., 312 (2021), 207–214
|Number of views:|