| 一类四阶抛物型积分-微分方程的混合间断时空有限元法 |
| |
| 引用本文： | 李宏,刘洋.一类四阶抛物型积分-微分方程的混合间断时空有限元法[J].计算数学,2007,29(4):413-420. |
| |
| 作者姓名： | 李宏 刘洋 |
| |
| 作者单位： | 内蒙古大学理工学院数学系,呼和浩特,010021 |
| |
| 基金项目： | 国家自然科学基金
,
内蒙古自然科学基金
,
内蒙古大学513人才计划科研项目 |
| |
| 摘 要： | 构造四阶抛物型积分-微分方程的混合间断时空有限元格式,利用混合有限元方法将高阶方程降阶,利用空间连续而时间允许间断的时空有限元方法离散方程,证明离散解的稳定性,存在唯一性和收敛性.
|
| 关 键 词： | 四阶抛物型积分-微分方程 混合有限元法 时间间断时空有限元法 |
| 修稿时间： | 2006-06-02 |
MIXED DISCONTINUOUS SPACE-TIME FINITE ELEMENT METHOD FOR THE FOUR ORDER PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS |
| |
| Li Hong,Liu Yang.MIXED DISCONTINUOUS SPACE-TIME FINITE ELEMENT METHOD FOR THE FOUR ORDER PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS[J].Mathematica Numerica Sinica,2007,29(4):413-420. |
| |
| Authors: | Li Hong Liu Yang |
| |
| Institution: | College of Sciences and Technology, Department of Mathematics, Neimongol University, Huhhot 010021, China |
| |
| Abstract: | We construct the mixed discontinuous space-time finite element method for fourth order parabolic integro-differential problems.Lower the order of the equation by mixed finite ele- ment method.And discretize the equation by space-time finite element method,continuous in space but discontinuous in time.The stability,uniqueness and existence,error estimates of the approximate solution are proved. |
| |
| Keywords: | fourth order parabolic integro-differential problems mixed finite element method space time finite element method discontinuous in time |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《计算数学》浏览原始摘要信息 |
| 点击此处可从《计算数学》下载免费的PDF全文 |
