|Title of the article||
INTEGRAL EQUATION METHOD FOR DIRICHLET PROBLEM SOLUTION
Smirnov Yury Gennadyevich, Doctor of physical and mathematical sciences, professor, head of sub-department of mathematics and supercomputer modeling, Penza State University, firstname.lastname@example.org
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.
Дата обновления: 17.07.2014 14:50