Open AccessNumerical solutions to a class of scalar elliptic BVPs for anisotropic exponentially graded media
Author(s) -
Moh. Ivan Azis
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1218/1/012001
Subject(s) - mathematics , mathematical analysis , boundary element method , boundary value problem , elliptic curve , scalar (mathematics) , variable (mathematics) , consistency (knowledge bases) , variable coefficient , finite element method , geometry , physics , thermodynamics
The Boundary Element Method (BEM) is used for obtaining solutions to another class of elliptic boundary value problems (BVPs) of anisotropic exponentially graded media. A technique of transforming the variable coefficient governing equation to a constant coefficient equation is utilized for deriving a boundary integral equation. Some particular problems are considered to illustrate the application of the BEM. The results show the convergence, consistency, and accuracy of the BEM solutions.