Email this article Optimal Recovery Methods for Solutions of the Dirichlet Problem that are Exact on Subspaces of Spherical Harmonics
- Authors: Balova E.A.1, Osipenko K.Y.2,3
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Affiliations:
- Moscow Aviation Institute (National Research University)
- LomonosovMoscow State University
- Kharkevich Institute for Information Transmission Problems
- Issue: Vol 104, No 5-6 (2018)
- Pages: 781-788
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/150431
- DOI: https://doi.org/10.1134/S0001434618110238
- ID: 150431
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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 ρ from a finite collection of inaccurately specified Fourier coefficients of the solution on a sphere of radius r, 0 < r < ρ < 1. The methods are required to be exact on certain subspaces of spherical harmonics.
About the authors
E. A. Balova
Moscow Aviation Institute (National Research University)
Author for correspondence.
Email: vabal@rambler.ru
Russian Federation, Moscow, 125993
K. Yu. Osipenko
LomonosovMoscow State University; Kharkevich Institute for Information Transmission Problems
Email: vabal@rambler.ru
Russian Federation, Moscow, 119991; Moscow, 101447
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