| 一类半线性双曲方程非协调有限元 |
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| 引用本文： | 潘爱林,王家正. 一类半线性双曲方程非协调有限元[J]. 四川理工学院学报(自然科学版), 2009, 22(2) |
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| 作者姓名： | 潘爱林 王家正 |
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| 作者单位： | 云南民族大学数计学院,昆明,650031;合肥师范学院数学系,合肥,23061 |
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| 摘 要： | 文章主要讨论了一类半线性双曲方程的非协调有限元法。首先,给出所讨论问题的半离散格式。其次,对所讨论问题的真解与所给出逼进格式离散解之间的误差估计进行研究。最后,利用Riesz投影,获得相应的误差估计。
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| 关 键 词： | 半线性 双曲型方程 半离散 非协调有限元 误差估计 |
Nonconforming FEM for a Kind of Semi-linear Hyperbolic Equations |
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| PAN Ai-lin,WANG Jia-zheng. Nonconforming FEM for a Kind of Semi-linear Hyperbolic Equations[J]. Journal of Sichuan University of Science & Engineering(Natural Science Editton), 2009, 22(2) |
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| Authors: | PAN Ai-lin WANG Jia-zheng |
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| Affiliation: | 1.School of Mathematics and Science;Yunnan Nationalities University;Kunming 650031;China;2.Department of Mathematics;Hefei Teachers College;Hefei 230061;China |
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| Abstract: | In this paper,a kind of semi-linear hyperbolic equations have mainly been discussed with the nonconforming finite element method.Firstly,the semi-discrete approximation scheme of the discussed problem is given.Secondly,some error estimations between the ture solution of the discussed problem and the solution of the approximation scheme are researched.Finally,the corresponding error estimations are obtained by means of the Riesz projection. |
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| Keywords: | semi-linear hyperbolic equations semi-discrete nonconforming finite element error estimate |
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