| 凹角域上离散导数Green函数有限元超收敛的一个估计 |
| |
| 引用本文： | 张杰华,韩明华. 凹角域上离散导数Green函数有限元超收敛的一个估计[J]. 贵州师范大学学报(自然科学版), 2009, 27(1) |
| |
| 作者姓名： | 张杰华 韩明华 |
| |
| 作者单位： | 贵州凯里学院,贵州,凯里,556000;贵州凯里学院,贵州,凯里,556000 |
| |
| 基金项目： | 凯里学院院级规划课题 |
| |
| 摘 要： | 运用权函数思想及通过正则导数Green函数的性质证明了离散导数Green函数在凹角域Ω上的一个估计,|GZhZ|1,p≤Ch-2+2/p|lnh|5/2,2/(βM+1)0,其中C为与h无关的常数,βM=π/αM,αM为Ω的最大内角。通过这个结果就可以导出凹角域上的有限元逼近的一系列结论.
|
| 关 键 词： | 离散导数Green函数 正则导数Green函数 凹角域 |
An estimate of discrete dirivative Green's functions on concave polysonal domain |
| |
| ZHANG Jie-hua,HAN Ming-hua. An estimate of discrete dirivative Green's functions on concave polysonal domain[J]. Journal of Guizhou Normal University(Natural Sciences), 2009, 27(1) |
| |
| Authors: | ZHANG Jie-hua HAN Ming-hua |
| |
| Abstract: | Using weight function idea and the property of regular derivative Green's functions,we proved an estimate of discrete derivative Green's functions for elliptic boundary value problems on concave polysonal domain, |ZGhZ|1,p≤Ch-2+2/p|lnh|5/2,2/(βM+1)0,in which the constant C is no relationship with h,βM=π/αM,and αM is the largest interior angle of concave polysonal domain.From which we can obtain a series of conclusions about the finite element approximation on concave polysonal domain. |
| |
| Keywords: | discrete dirivative Green's functions regular dirivative Green's functions concave polysonal domain |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
