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KIAM Preprint  2, Moscow, 2005
Authors: Galanin M. P., Nizkaya T.V.
Development and application of a numerical method for solution of linear elliptic equations in unbounded region.
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 Greens formula. Using finite-difference schemes this method has quadratic order of accuracy, independent of the size of computational domain, and in 2d case requires operations to find the solution, where - is the number of nodes within the computational domain. In 3d case the method requires operations. Test computational examples are provided, showing the methods efficiency.
Publication language: russian,  pages: 29
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Galanin Mikhail Pavlovich, RAS
  • Nizkaya T.V.