DOI: https://doi.org/10.26089/NumMet.v16r108

Application of the boundary integral equation method to numerical solution of Dirichlet’s boundary value problem in the elasticity theory on polygons

Authors

  • I.O. Arushanyan

Keywords:

Dirichlet’s boundary value problem
double-layer potential
potential theory
boundary integral equations
corner points
quadrature method
two-dimensional theory of elasticity

Abstract

Dirichlet’s boundary value problem of the two-dimensional elasticity theory is considered for domains with a finite number of corner points. This problem is put in correspondence with a system of boundary integral equations used in the potential theory. An approach to the efficient approximate solution of the original boundary value problem by numerical solving the system of boundary integral equations is proposed.

New computational technologies

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Published

2015-02-23

Issue

Vol. 16 (2015): Issue 1.

Section

Section 1. Numerical methods and applications

Author Biography

I.O. Arushanyan

Lomonosov Moscow State University,
Faculty of Mechanics and Mathematics
• Associate Professor

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