| 四阶抛物方程的间断时空混合有限元法 |
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| 引用本文： | 李宏,郭彦.四阶抛物方程的间断时空混合有限元法[J].内蒙古大学学报(自然科学版),2006,37(1):19-22. |
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| 作者姓名： | 李宏 郭彦 |
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| 作者单位： | 内蒙古大学理工学院数学系,呼和浩特,010021 |
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| 基金项目： | 中国科学院资助项目;蒙古自然科学基金;内蒙古大学校科研和教改项目;513项目 |
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| 摘 要： | 利用混合有限元方法将高阶方程降阶,然后利用空间连续而时间允许间断的时空有限元方法离散低阶方程,构造了四阶抛物方程的间断时空混合有限元格式,证明其离散解的稳定性和收敛性.
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| 关 键 词： | 四阶抛物方程 混合有限元法 时间间断时空有限元法 |
| 文章编号： | 1000-1638(2006)01-0019-04 |
| 收稿时间： | 2005-05-15 |
| 修稿时间： | 2005-09-10 |
The Space-Time Mixed Finite Element Method for Fourth Order Parabolic Problems |
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| LI Hong,GUO Yan.The Space-Time Mixed Finite Element Method for Fourth Order Parabolic Problems[J].Acta Scientiarum Naturalium Universitatis Neimongol,2006,37(1):19-22. |
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| Authors: | LI Hong GUO Yan |
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| Institution: | Department of Mathematics ,College of Sciences and Technology, NeiMongol University, Hohhot 010021, PRC |
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| Abstract: | The discontinuous space-time mixed finite element method for fourth order parabolic problems is constructed by lowering the order of the equation with mixed finite element method,and discretizing the lowered second order equation with space-time finite element method which is continuous in space but discontinuous in time.The stability and error estimates of its approximate solution are proved. |
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| Keywords: | fourth order parabolic problem mixed finite element method space-time finite element method discontinuous in time |
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