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| 二阶椭圆型方程的广义差分法 | |
| 引用本文： | 梁栋. 二阶椭圆型方程的广义差分法[J]. 山东大学学报(理学版), 1991, 0(4) |
| 作者姓名： | 梁栋 |
| 作者单位： | 山东大学数学系 |
| 摘 要： | 本文利用依赖格网范数,讨论了n维区域上二阶椭圆型方程的广义差分法的抽象变分问题,一般性地研究了广义差分法,并提出了非协调广义差分法,证明了3维区域上一类广义差分格式和2维区域上二类非协调广义差分格式的存在性和收敛性. |
| 关 键 词： | 抽象变分问题 广义差分法 非协调广义差分法 存在性 收敛性 |
GENERALIZED DIFFERENCE METHODS FOR 2ND ORDER ELLIPTIC EQUATION |
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| Liang Dong. GENERALIZED DIFFERENCE METHODS FOR 2ND ORDER ELLIPTIC EQUATION[J]. Journal of Shandong University, 1991, 0(4) | |
| Authors: | Liang Dong |
| Abstract: | In this paper, we discuss the variational problem of the generalized difference methods for the 2nd order elliptic partial differential equations in R~n. The convergences and error estimates are given for several schemes of this methods in R~2 and R~3. |
| Keywords: | variational problem generalized difference method convergence |
| 本文献已被 CNKI 等数据库收录！ | |