Email this article Investigating the Solvability of the Three-Dimensional Neumann Problem for the Poisson Equation in Piecewise-Homogeneous Conducting Media
- Authors: Zakharov E.V.1, Orlik S.I.1
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Affiliations:
- Faculty of Computational Mathematics and Cybernetics, Moscow State University
- Issue: Vol 27, No 1 (2016)
- Pages: 26-35
- Section: Article
- URL: https://ogarev-online.ru/1046-283X/article/view/247475
- DOI: https://doi.org/10.1007/s10598-015-9301-2
- ID: 247475
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Abstract
The inner Neumann problem for the Poisson equation in a region filled with a piecewise-homogeneous conducting medium is reduced to a system of boundary integral equations. The conjugate system is constructed; the solvability conditions are derived for the boundary-value problem.
About the authors
E. V. Zakharov
Faculty of Computational Mathematics and Cybernetics, Moscow State University
Author for correspondence.
Email: mf@cs.msu.ru
Russian Federation, Moscow
S. I. Orlik
Faculty of Computational Mathematics and Cybernetics, Moscow State University
Email: mf@cs.msu.ru
Russian Federation, Moscow
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