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An integro-difference method of solving the dirichlet problem for Laplace's equation

Authors
Journal
USSR Computational Mathematics and Mathematical Physics
0041-5553
Publisher
Elsevier
Publication Date
Volume
24
Issue
1
Identifiers
DOI: 10.1016/0041-5553(84)90114-9
Disciplines
  • Computer Science
  • Mathematics

Abstract

Abstract An iterative process for solving the Dirichlet problem for Laplace's equation is based on alternate application of the method of boundary integral equations and the finite difference method. It is shown that, when a sequence of meshes is used., the total number of arithmetic operations is O( N 2), where N is the number of computational points on the contour. The practical efficiency of the method is illustrated by numerical computations.

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