INTEGRAL EQUATION METHOD FOR DIRICHLET PROBLEM SOLUTION
IN AN AGITATED THREE-DIMENSIONAL LAYER

Smirnov Yury Gennadyevich, Doctor of physical and mathematical sciences, professor, head of sub-department of mathematics and supercomputer modeling, Penza State University, mmm@pnzgu.ru
Shcherbakov Anton Alekseevich, Postgraduate student, Penza State University, matematik3@mail.ru
Tsvetkov Alexander Vitalievich, Postgraduate student, Penza State University, al.tsvetkov86@gmail.com

517.3

A Dirichlet boundary value problem for the Laplace equation in a three-dimensional layer with a local perturbation of the boundary is solved by the method of boundary integral equation (IE). The unique solvability of the IE and its Fredholm property are proved. A Galerkin method of the IE numerical solution aimed at the use of parallel computations is developed and justified.

perturbed layer, boundary integral equation, Galerkin method.