BEM solutions to BVPs governed by the anisotropic modified Helmholtz equation for quadratically graded media

International Conference on Geoscience

Azis, M.I.^1 ; Syam, R.^2 ; Hamzah, S.^3

Department of Mathematics, Hasanuddin University, Makassar, Indonesia^1

Department of Mechanical Engineering, Hasanuddin University, Makassar, Indonesia^2

Department of Civil Engineering, Hasanuddin University, Makassar, Indonesia^3

关键词: Constant coefficients;    Governing equations;    Graded media;    Helmholtz-type equations;    Modified helmholtz equations;    Variable coefficients;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/279/1/012010/pdf
DOI  :  10.1088/1755-1315/279/1/012010

来源: IOP

【 摘 要 】

A Boundary Element Method (BEM) is used for obtaining solutions to anisotropic quadratically graded media (FGM) boundary value problems (BVPs) governed by the modified 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.