| 非线性Pochhammer-Chree方程的质量集中有限元法 |
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| 引用本文： | 左敬亮,白冬梅,郝岩,任宗修. 非线性Pochhammer-Chree方程的质量集中有限元法[J]. 纺织高校基础科学学报, 2007, 20(1): 51-55 |
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| 作者姓名： | 左敬亮 白冬梅 郝岩 任宗修 |
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| 作者单位： | 河南师范大学,数学与信息科学学院,河南,新乡,453007 |
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| 摘 要： | 用Galakin有限元方法求解方程utt-uttxx-uxx-(1/p)(up)xx=0的初边值问题时,按照所构造的全离散格式要得到质量矩阵用一般的数值积分公式计算比较复杂;本文用质量集中有限元方法构造了该方程初边值问题的全离散质量集中格式;采用特定的数值积分公式,将其质量矩阵变为对角阵,从而有效地简化了质量矩阵的计算过程.结果且仍可得到H1模最优阶误差估计.
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| 关 键 词： | 质量集中 非线性Pochhammer-Chree方程 误差估计 |
| 文章编号： | 1006-8341（2007）01-0051-05 |
| 收稿时间： | 2006-05-29 |
| 修稿时间： | 2006-05-29 |
The lumped mass finite element method for nonlinear pochhammer-chree equation |
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| ZUO Jing-liang,BAI Dong-mei,HAO Yan,REN Zong-xiu. The lumped mass finite element method for nonlinear pochhammer-chree equation[J]. Basic Sciences Journal of Textile Universities, 2007, 20(1): 51-55 |
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| Authors: | ZUO Jing-liang BAI Dong-mei HAO Yan REN Zong-xiu |
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| Affiliation: | College of Mathematics and Information Science, Henan Normal University, Xinxiang, Hennan 453007,China |
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| Abstract: | At the process of resolving the initial-boundary problem of the P-C equation by Galakin FEM,according to the scheme which is formed in this method,the calculation of the mass matrix is difficult.So in this paper a lumped mass finite element method for this equation is displayed and a full discret scheme is formed,a special numerical integration formulation is adopted in the scheme.The matrix is simplified to a diagonalmatrix and the numerical process is reduced.The optimal order error estimates in H1 is obtained. |
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| Keywords: | nonlinear pochhammer-chree equation the lumped mass finite element method error estimates |
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