Geodesic
Optimal Recovery Methods for Solutions of the Dirichlet Problem that are Exact on Subspaces of Spherical Harmonics
Matematičeskie zametki, Tome 104 (2018) no. 6, pp. 803-811

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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 $r$, $0$. The methods are required to be exact on certain subspaces of spherical harmonics.
Keywords: optimal recovery, Dirichlet problem, spherical harmonics.
Mots-clés : Laplace equation 
@article{MZM_2018_104_6_a0,
     author = {E. A. Balova and K. Yu. Osipenko},
     title = {Optimal {Recovery} {Methods} for {Solutions} of the {Dirichlet} {Problem} that are {Exact} on {Subspaces} of {Spherical} {Harmonics}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {803--811},
     publisher = {mathdoc},
     volume = {104},
     number = {6},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_6_a0/}
}
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E. A. Balova; K. Yu. Osipenko. Optimal Recovery Methods for Solutions of the Dirichlet Problem that are Exact on Subspaces of Spherical Harmonics. Matematičeskie zametki, Tome 104 (2018) no. 6, pp. 803-811. http://geodesic.mathdoc.fr/item/MZM_2018_104_6_a0/