Nonlocal approximation of elliptic operators with anisotropic coefficients on manifold

Zuoqiang Shi Tsinghua University

Numerical Analysis and Scientific Computing mathscidoc:1711.25001

In this paper, we give an integral approximation for the elliptic operators with anisotropic coecients on smooth manifold. Using the integral approximation, the elliptic equation is tranformed to an integral equation. The integral approximation preserves the symmetry and coercivity of the original elliptic operator. Based on these good properties, we prove the convergence between the solutions of the integral equation and the original elliptic equation.
No keywords uploaded!
[ Download ] [ 2017-11-07 10:48:42 uploaded by shizqi ] [ 22 downloads ] [ 0 comments ]
@inproceedings{zuoqiangnonlocal,
  title={Nonlocal approximation of elliptic operators with anisotropic coefficients on manifold},
  author={Zuoqiang Shi},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20171107104842558829851},
}
Zuoqiang Shi. Nonlocal approximation of elliptic operators with anisotropic coefficients on manifold. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20171107104842558829851.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved