کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
520684 | 867732 | 2011 | 23 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Compact local integrated-RBF approximations for second-order elliptic differential problems Compact local integrated-RBF approximations for second-order elliptic differential problems](/preview/png/520684.png)
This paper presents a new compact approximation method for the discretisation of second-order elliptic equations in one and two dimensions. The problem domain, which can be rectangular or non-rectangular, is represented by a Cartesian grid. On stencils, which are three nodal points for one-dimensional problems and nine nodal points for two-dimensional problems, the approximations for the field variable and its derivatives are constructed using integrated radial basis functions (IRBFs). Several pieces of information about the governing differential equation on the stencil are incorporated into the IRBF approximations by means of the constants of integration. Numerical examples indicate that the proposed technique yields a very high rate of convergence with grid refinement.
Journal: Journal of Computational Physics - Volume 230, Issue 12, 1 June 2011, Pages 4772–4794