An estimate for the three-dimensional discrete Green's function and applications

作者：Liu, Jinghong^*; Jia, Bo; Zhu, Qiding

来源：Journal of Mathematical Analysis and Applications, 2010, 370(2): 350-363.

DOI：10.1016/j.jmaa.2010.05.002

• Regularized Green's function
• Discrete Green's function
• Block finite element
• Weak estimates

In this paper we first introduce definitions of the regularized Green's function and the discrete Green's function in three dimensions. With complicated arguments estimates for these two functions are then derived. Finally we give an application of the estimate for the discrete Green's function to the high accuracy analysis of the three-dimensional block finite element approximation.

• 出版日期2010-10-15
• 单位湖南师范大学; 浙江大学宁波理工学院; 浙江大学