| Sobolev方程的全离散混合有限元法 |
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| 引用本文： | 郑克龙,胡劲松. Sobolev方程的全离散混合有限元法[J]. 四川理工学院学报(自然科学版), 2007, 20(5): 63-66 |
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| 作者姓名： | 郑克龙 胡劲松 |
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| 作者单位： | 西南科技大学理学院,四川,绵阳,621010;西华大学计算机与数学学院,成都,610039 |
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| 摘 要： | 对Sobolev方程采用混合有限元法求解,给出相应的全离散格式及其误差估计,与已有文献中的有限元方法相比,该方法所采用的变分形式较简单,计算量较小,精度较高。
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| 关 键 词： | 混合有限元法 Sobolev方程 全离散 误差估计 |
| 文章编号： | 1673-1549（2007）05-0063-04 |
| 收稿时间： | 2007-03-18 |
Fully-discrete Mixed Finite Element Method for Sobolev Equation |
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| ZHENG Ke-long,HU Jin-song. Fully-discrete Mixed Finite Element Method for Sobolev Equation[J]. Journal of Sichuan University of Science & Engineering(Natural Science Editton), 2007, 20(5): 63-66 |
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| Authors: | ZHENG Ke-long HU Jin-song |
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| Affiliation: | 1.College of Science, Southwest University of Science and Technology, Mianyang 621010, China; 2.School of Computer and Mathematical Science, Xihua University, Chengdu 610039, China |
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| Abstract: | By introducing the mixed finite element method for Sobolev equation, the corresponding fully-discrete formulation is presented and the error estimates are obtained. Compared to the other finite element methods, this method takes simpler variational formulation, costs less computation and has higher accuracy. |
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| Keywords: | mixed finite element Sobolev equation fully-discrete error estimates |
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