Optimal recovery methods for solutions of the Dirichlet problem that are exact on subspaces of spherical harmonics

DOI10.1134/S0001434618110238zbMath1415.35102OpenAlexW2907598318MaRDI QIDQ668306

E. A. Balova, Konstantin Yu. Osipenko

Publication date: 19 March 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618110238

zbMATH Keywords

Dirichlet problemspherical harmonicsLaplace equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Optimal recovery of the solution to the Dirichlet problem in the half-plane ⋮ Optimal recovery methods exact on trigonometric polynomials for the solution of the heat equation

Cites Work

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• Exactness and optimality of methods for recovering functions from their spectrum
• Optimal reconstruction of the solution of the Dirichlet problem from inaccurate input data
• Noisy Information and Computational Complexity
• Optimal recovery of linear operators in non-Euclidean metrics
• Best Approximate Integration Formulas; Best Approximation Formulas

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