Article 9112

Title of the article

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

Authors

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

Index UDK

517.3

Abstract

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.

Key words

perturbed layer, boundary integral equation, Galerkin method.

Download PDF

 

Дата создания: 17.07.2014 07:13
Дата обновления: 17.07.2014 14:50