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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2013 093, 15 pp. (Mi ipmp1843)

An algorithm of computing solution of the model difference problem with boundary conditions on the cut on the base of potential with the density from the space of jumps

V. S. Ryaben'kii, S. V. Utyuzhnikov


Abstract: An algorithm of computing solution of difference analogue of problem for the Laplace equation in a domain with cut and boundary conditions on the cut is developed. The base of algorithm effectiveness is representation of the solutions in the form of difference potential with the density form the space of solution jumps at the nodes of cut.

Keywords: method of difference potentials, cut, crack.



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