Multidimensional Discrete Green’s Function and Its Estimates

DOI

10.2991/lemcs-15.2015.66How to use a DOI?

Keywords

Regularized Green’s function; Discrete Green’s function; Superconvergence; Finite element; Ellptic equations

Abstract

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.

Copyright

© 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/).

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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  -