## On variational formulations of inner boundary value problems for infinite systems of elliptic equations of special kind / Yuriy Muzychuk, Roman Chapko // Matematychni Studii

- A. Muzychuk Yu
- 2012

Highly Influential

5 Excerpts

- Published 2015 in 2015 XXth IEEE International Seminar/Workshop on…

We consider a Dirichlet boundary value problem for a system of elliptic equations of special type in domains with inclusions. The use of Green's function technique leads to boundary integral equations with unknown functions only on the surface of the inclusion. The direct and indirect approaches of the boundary integral equation method are discussed. A modified boundary elements method is obtained and a series of numerical experiments is conducted.

@article{Muzychuk2015OnGF,
title={On Green's function in boundary elements method for some infinite triangular system of elliptic equations},
author={Yuriy Muzychuk},
journal={2015 XXth IEEE International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)},
year={2015},
pages={147-150}
}