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Article information
1998 , Volume 3, ¹ 1, p.75-78
Frumin L.L.
Angular integral method for the Dirichlet problem
A modification of the boundary element method is proposed for solving the Dirichlet problem in the framework of the Potential Theory, based on a substitution of the integral over the domain boundary by an integral over the angle in the equation for the double layer potential. The angular variable provides a natural parametrisation of the domain boundary, excluding completely the necessity of its approximation and noticeably improving the calculation accuracy. The algorithm testing is described for
two-dimensional domains.
[full text] Classificator Msc2000:- *35J25 Boundary value problems for second-order, elliptic equations
- 65N38 Boundary element methods
Keywords: Boundary Value Dirichlet problem, boundary element method, angular integral method, boundary elements methods, potential theory, Laplace equation
Author(s):
Frumin LeonidL.
PhD. , Associate Professor
Office: Novosibirsk State University
Address: 630090, Russia, Novosibirsk, Pirogova str., 2
Phone Office: (3832) 39 78 38
E-mail: frumin@phys.nsu.ru
Bibliography link:
Frumin L.L. Angular integral method for the Dirichlet problem // Computational technologies. 1998. V. 3. ¹ 1. P. 75-78
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