Numerical solutions to a class of scalar elliptic BVPs for anisotropic quadratically graded media

International Conference on Geoscience

Haddade, A.^1 ; Azis, M.I.^2 ; Djafar, Z.^3 ; Jabir, St. N.^4 ; Nurwahyu, B.^2

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

Department of Mathematics, Hasanuddin University, Makassar, Indonesia^2

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

Department of Electrical Engineering, ATI Polytechnic, Makassar, Indonesia^4

关键词: Constant coefficients;    Elliptic equations;    Governing equations;    Graded media;    Numerical solution;    Variable coefficients;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/279/1/012007/pdf
DOI  :  10.1088/1755-1315/279/1/012007

来源: IOP

【 摘 要 】

Boundary value problems (BVPs) governed by a class of elliptic equations for anisotropic quadratically graded media are solved using Boundary Element Method (BEM). The variable coefficient governing equation is transformed to a constant coefficient equation which is then transformed to a boundary integral equation. The results show the convergence, consistency, and accuracy of the BEM solutions.