Screened harmonic system with Dirichlet and Neumann boundary conditions in analysis in the three-dimensional case
https://doi.org/10.25587/2411-9326-2025-4-66-80
Abstract
A screened harmonic system with Dirichlet and Neumann boundary conditions is analyzed in the three-dimensional case. This system is continued through boundaries with Dirichlet and Neumann conditions. The system of linear algebraic equations obtained after discretization of the continued system is considered. An asymptotically optimal analysis is given for the discrete continued system. The method for analyzing the discrete continued system is implemented in the algorithm.
About the Authors
M. P. EremchukRussian Federation
Maksim P. Eremchuk
76 Lenin Avenue, Chelyabinsk 454080
A. L. Ushakov
Russian Federation
Andrey L. Ushakov
76 Lenin Avenue, Chelyabinsk 454080
References
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Review
For citations:
Eremchuk M.P., Ushakov A.L. Screened harmonic system with Dirichlet and Neumann boundary conditions in analysis in the three-dimensional case. Mathematical notes of NEFU. 2025;32(4):66-80. (In Russ.) https://doi.org/10.25587/2411-9326-2025-4-66-80
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