| 四阶非线性奇异抛物方程的半离散有限元方法的后验误差估计 |
| |
| 引用本文： | 朱振华,李琳琳,汪季.四阶非线性奇异抛物方程的半离散有限元方法的后验误差估计[J].内蒙古农业大学学报(自然科学版),2007,28(1):177-182. |
| |
| 作者姓名： | 朱振华 李琳琳 汪季 |
| |
| 作者单位： | 1. 内蒙古农业大学生态环境学院,呼和浩特,010019
2. 内蒙古财经学院,呼和浩特,010051 |
| |
| 摘 要： | 对非线性奇异抛物方程考虑用P次多项式基得到半离散有限元方法的后验误差估计,这种误差估计是通过解局部抛物方程在每一离散单元上用P 1次多项式对解进行校正而得到的,其中P 1次多项式在节点上为零。
|
| 关 键 词： | 后验误差估计 有限元方法 半离散近似 |
| 文章编号： | 1009-3575（2007）01-0177-06 |
| 修稿时间： | 2006-09-01 |
A POSTERIORI ERROR ESTIMATION WITH FINITE ELEMENT SEMI- DISCRETE METHODS FOR FOURTH ORDER NONLINEAR SINGULAR PARABOLIC EQUATIONS |
| |
| ZHU Zhen-hua,LI Lin-lin,WANG Ji.A POSTERIORI ERROR ESTIMATION WITH FINITE ELEMENT SEMI- DISCRETE METHODS FOR FOURTH ORDER NONLINEAR SINGULAR PARABOLIC EQUATIONS[J].Journal of Inner Mongolia Agricultural University(Natural Science Edition),2007,28(1):177-182. |
| |
| Authors: | ZHU Zhen-hua LI Lin-lin WANG Ji |
| |
| Institution: | Inner Monolia Agricultural University,Huhhot 010019,China;2.Inner Mongolia Finance And Economics College,Huhhot 010051,China |
| |
| Abstract: | A posteriori error estimates for semi-discrete finite element methods using a pth degree polynomial basis were considered for nonlinear singular parabolic equations.The error estimates were obtained by solving local parabolic equations for corrections to the solutions on each element using a p 1st degree polynomial,which is zero at the nodes. |
| |
| Keywords: | posteriori error estimation finite element method semi-discrete method |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
