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Matematicheskie Zametki, 2018, Volume 104, Issue 6, Pages 803–811
DOI: https://doi.org/10.4213/mzm11784 (Mi mzm11784) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Optimal Recovery Methods for Solutions of the Dirichlet Problem that are Exact on Subspaces of Spherical Harmonics

E. A. Balovaa, K. Yu. Osipenkobc

a Moscow Aviation Institute (National Research University)
b Lomonosov Moscow State University
c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
Full-text PDF (489 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm11784
Abstract: We consider the optimal recovery problem for the solution of the Dirichlet problem for the Laplace equation in the unit $d$-dimensional ball on a sphere of radius $\rho$ from a finite collection of inaccurately specified Fourier coefficients of the solution on a sphere of radius $r$, $0<r<\rho<1$. The methods are required to be exact on certain subspaces of spherical harmonics.
Keywords: optimal recovery, Dirichlet problem, Laplace equation, spherical harmonics.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00649
This work was supported by the Russian Foundation for Basic Research under grant 17-01-00649.
Received: 29.08.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 6, Pages 781–788
DOI: https://doi.org/10.1134/S0001434618110238
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: E. A. Balova, K. Yu. Osipenko, “Optimal Recovery Methods for Solutions of the Dirichlet Problem that are Exact on Subspaces of Spherical Harmonics”, Mat. Zametki, 104:6 (2018), 803–811; Math. Notes, 104:6 (2018), 781–788
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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