| 矩形网格双曲型方程的质量集中有限元法 |
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| 引用本文： | 梁宏伟,刘鸣放,曹济伟,李珺璞. 矩形网格双曲型方程的质量集中有限元法[J]. 河南大学学报(自然科学版), 2011, 41(6) |
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| 作者姓名： | 梁宏伟 刘鸣放 曹济伟 李珺璞 |
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| 作者单位： | 1. 河南大学数学与信息科学学院,河南开封,475001
2. 河海大学大禹学院,江苏南京,210098 |
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| 基金项目： | 国家自然科学基金资助(1077119810901047) |
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| 摘 要： | 讨论了矩形网格上双曲型方程的质量集中有限元法.首先,给出了所讨论问题的质量集中有限元Crank-Nicolson全离散逼近格式;其次,对讨论问题的解与逼近格式的解之间的误差进行了分析,在不需要传统的椭圆投影算子条件下得到了在各向异性网格下的最优误差估计.
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| 关 键 词： | 质量集中 各向异性 矩形网格 双曲型方程 |
Lumped Mass Finite Element Method for Hyperbolic Equation on Rectangular Mesh |
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| LIANG Hong-wei,LIU Ming-fang,CAO Ji-wei,LI Jun-pu. Lumped Mass Finite Element Method for Hyperbolic Equation on Rectangular Mesh[J]. Journal of Henan University(Natural Science), 2011, 41(6) |
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| Authors: | LIANG Hong-wei LIU Ming-fang CAO Ji-wei LI Jun-pu |
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| Affiliation: | LIANG Hong-wei1,LIU Ming-fang1,CAO Ji-wei1,LI Jun-pu2(1.College of Mathematics and Information Sciences,Henan University,Henan Kaifeng 475001,China,2.Dayu College,Hehai University,Jiangsu Nanjing 210098,China) |
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| Abstract: | In this paper,the lumped mass finite element method of hyperbolic equation is discussed on rectangular meshes.Firistly,we study the Crank-Nicolson full-discrete approximation scheme of the lumped mass finite element method for the discussed problem.Secondly,error analysis between the solution of the discussed problem and the solution of the approximated scheme are considered.Without using traditional elliptic projection operator,the optimal error estimations are obtained on anisotropic meshes. |
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| Keywords: | lumped mass anisotropic rectangular meshes hyperbolic equation. |
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