Operators of Minimal Norm via Modified Green’s Function for the Elastic Two-Dimensional Case Using the Simple Multipole Coefficients

Authors

Belkacem Sahli, Laboratory of Numerical and Fundamental Mathematics, Ferhat Abbas University - Setif 1, Setif 19000, AlgeriaFollow

Author Country (or Countries)

Algeria

Abstract

The problem of non-uniqueness arising in the integral formulation of an exterior boundary value problem for the elastic two-dimensional case can be faced using the fundamental solution technique. In this work, a criterion based on the minimization of the norm of the modified integral operator is established using simple multipole coefficients. As applications, the proposed procedure in the case of circle and perturbations of circle are examined.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110138

Recommended Citation

Sahli, Belkacem (2017) "Operators of Minimal Norm via Modified Green’s Function for the Elastic Two-Dimensional Case Using the Simple Multipole Coefficients," Applied Mathematics & Information Sciences: Vol. 11: Iss. 1, Article 38.
DOI: http://dx.doi.org/10.18576/amis/110138
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss1/38