کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1705058 | 1519419 | 2013 | 13 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A new formulation of regularized meshless method applied to interior and exterior anisotropic potential problems A new formulation of regularized meshless method applied to interior and exterior anisotropic potential problems](/preview/png/1705058.png)
This paper proposes a new formulation of regularized meshless method (RMM), which differs from the traditional RMM in that the traditional formulation generates the diagonal elements of influence matrix via null-field integral equations, while our new one directly employs the boundary integral equations at the domain point to evaluate the diagonal elements. We test the present RMM formulation to two-dimensional anisotropic potential problems in finite and infinite domains in comparison with the traditional RMM. Numerical results show that the present RMM sharply outperforms the traditional RMM in the solution of interior problems, while the latter is clearly superior for exterior problems. A rigorous theoretical analysis of circular domain case also corroborates such numerical experiment observations and is provided in the appendix of this paper.
Journal: Applied Mathematical Modelling - Volume 37, Issues 12–13, 1 July 2013, Pages 7452–7464