| 四阶非线性奇异抛物方程的有限元方法的误差估计 |
| |
| 引用本文： | 李琳琳,曹京平. 四阶非线性奇异抛物方程的有限元方法的误差估计[J]. 内蒙古大学学报(自然科学版), 2011, 42(6): 636-640 |
| |
| 作者姓名： | 李琳琳 曹京平 |
| |
| 作者单位： | 1. 内蒙古大学数学科学学院,呼和浩特010021;内蒙古财经学院统计与数学学院,呼和浩特010051
2. 内蒙古财经学院统计与数学学院,呼和浩特,010051 |
| |
| 摘 要： | 考虑了一类四阶非线性奇异抛物方程,给出了其变分问题及半离散和全离散格式;给出了半离散解的加权L2模及加权H2模误差估计;然后又给出了全离散解即C-N方法的加权L2模误差估计.
|
| 关 键 词： | 变分问题 加权L2模 加权H2模误差估计 |
Error Estimation for Finite Element Methods of Fourth Order Nonlinear Singular Parabolic Problems |
| |
| LI Lin-lin,CAO Jing-ping. Error Estimation for Finite Element Methods of Fourth Order Nonlinear Singular Parabolic Problems[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 2011, 42(6): 636-640 |
| |
| Authors: | LI Lin-lin CAO Jing-ping |
| |
| Affiliation: | LI Lin-lin1,2,CAO Jing-ping1(1.School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China,2.School of Statistics and Mathematics,Inner Mongolia Finance and Economics College,Hohhot 010051,China) |
| |
| Abstract: | A class of fourth order nonlinear boundary problems with singular coefficients is considered.Its variational problem and semi-discrete and fully discrete formulation are given.The weighted L2 norm and the weighted H2 norm error estimations for semi-discrete problems are obtained.Meantime,an error estimation in weighted L2 norm for C-N fully-discrete scheme is obtained. |
| |
| Keywords: | variational problem the weighted L2 norm the weighted H2 norm error estimation |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
