Open AccessNumerical solutions for BVPs governed by a Helmholtz equation of anisotropic FGM
Author(s) -
Budi Nurwahyu,
Bualkar Abdullah,
Arniati Massinai,
Moh. Ivan Azis
Publication year - 2019
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.179
H-Index - 26
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/279/1/012008
Subject(s) - helmholtz equation , boundary element method , mathematical analysis , mathematics , boundary value problem , helmholtz free energy , integral equation , electric field integral equation , convergence (economics) , method of fundamental solutions , variable (mathematics) , consistency (knowledge bases) , singular boundary method , finite element method , geometry , physics , quantum mechanics , economic growth , economics , thermodynamics
A Boundary Element Method (BEM) is used for obtaining solutions to anisotropic functionally graded media (FGM) boundary value problems (BVPs) governed by a Helmholtz type equation. 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.