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Preprints of the Keldysh Institute of Applied Mathematics, 2005, 002, 29 pp.
(Mi ipmp643)
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This article is cited in 1 scientific paper (total in 1 paper)
Development and application of a numerical method for solution of linear elliptic equations in unbounded region
M. P. Galanin, T. V. Nizkaya
Abstract:
In this work we propose a new method for solution of linear elliptic equations in unbounded domain. The method is based on representation of exact solution as a sum of two functions. The former is a solution of some auxiliary problem and the latter can be found using Green's formula. Using finite-difference schemes this method has quadratic order of accuracy, independent of the size of computational domain, and in 2d case requires $O(N^3)$ operations to find the solution, where $N^2$ — is the number of nodes within the computational domain. In 3d case the method requires $O(N^4)$ operations. Test computational examples are provided, showing the method’s efficiency.
Citation:
M. P. Galanin, T. V. Nizkaya, “Development and application of a numerical method for solution of linear elliptic equations in unbounded region”, Keldysh Institute preprints, 2005, 002, 29 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp643 https://www.mathnet.ru/eng/ipmp/y2005/p2
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Abstract page: | 164 | Full-text PDF : | 35 |
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