Multidimensional Discrete Green’s Function and Its Estimates
Yinsuo Jia, Jinghong Liu
Available Online July 2015.
- 10.2991/lemcs-15.2015.66How to use a DOI?
- Regularized Green’s function; Discrete Green’s function; Superconvergence; Finite element; Ellptic equations
This paper will discuss estimates for discrete Green’s function of elliptic equations in dimensions seven and up. First, the definitions of some terms are given. Then the estimates for the regularized Green’s function are derived. Finally, by using the triangular inequality, researchers obtain the estimates for discrete Green’s function. The results of the paper play important roles in the research of superconvergence of finite element methods.
- © 2015, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Yinsuo Jia AU - Jinghong Liu PY - 2015/07 DA - 2015/07 TI - Multidimensional Discrete Green’s Function and Its Estimates BT - Proceedings of the International Conference on Logistics, Engineering, Management and Computer Science PB - Atlantis Press SP - 342 EP - 345 SN - 1951-6851 UR - https://doi.org/10.2991/lemcs-15.2015.66 DO - 10.2991/lemcs-15.2015.66 ID - Jia2015/07 ER -