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| 一类双曲型方程的质量集中非协调元分析 | |
| 引用本文： | 石东洋,黄堃,杨国增.一类双曲型方程的质量集中非协调元分析[J].河南师范大学学报(自然科学版),2010,38(3). |
| 作者姓名： | 石东洋 黄堃 杨国增 |
| 作者单位： | 1. 郑州大学,数学系,郑州,450052 2. 平顶山学院,数学信息学院,河南,平顶山,467004 3. 郑州师范学院,数学系,郑州,450044 |
| 摘 要： | 主要讨论一类双曲型方程Crank-Nicolson全离散格式下的质量集中Crouzeix-Raviart型非协调元逼近.在抛弃传统的椭圆投影算子的前提下,直接利用插值技巧,在各向异性网格下导出了L2模和能量模的最佳收敛阶. |
| 关 键 词： | 双曲方程 质量集中 各向异性网格 误差估计 |
Lumped Mass Nonconforming Finite Element Method for a Kind of Hyperbolic Equation |
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| SHI Dong-yang,HUANG Kun,YANG Guo-zeng.Lumped Mass Nonconforming Finite Element Method for a Kind of Hyperbolic Equation[J].Journal of Henan Normal University(Natural Science),2010,38(3). | |
| Authors: | SHI Dong-yang HUANG Kun YANG Guo-zeng |
| Abstract: | In this paper,the Crank-Nicolson fully-discrete approximation scheme of the lumped mass Crouzeix-Raviart type nonconforming finite element method for hyperbolic equation with variable coefficients is studied.By use of the interpolation technique instead of the traditional elliptic projection operator,the optimal convergence orders of L1-norm and energy-norm are derived on anisotropic meshes. |
| Keywords: | hyperbolic equation lumped mass anisotropic meshes error estimates |
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