| 二阶双曲方程的间断有限体积元方法 |
| |
| 引用本文： | 耿加强,毕春加.二阶双曲方程的间断有限体积元方法[J].烟台大学学报(自然科学与工程版),2009,22(2):97-101. |
| |
| 作者姓名： | 耿加强 毕春加 |
| |
| 作者单位： | 烟台大学,数学与信息科学学院, 山东,烟台,264005 |
| |
| 摘 要： | 在原始网格剖分上采用分片线性函数作为间断有限体积元方法的试探函数空间，在相应的对偶网格剖分上采取分片常数函数空间作为其检验函数空间，针对二阶双曲方程，给出了半离散的间断有限体积元方法，并且在一个依赖网格的范数下获得了最优误差估计．
|
| 关 键 词： | 间断有限体积元方法 双曲方程 半离散格式 |
Discontinuous Finite Volume Element Method for Second Order Hyperbolic Equations |
| |
| GENG Jia-qiang,BI Chun-jia.Discontinuous Finite Volume Element Method for Second Order Hyperbolic Equations[J].Journal of Yantai University(Natural Science and Engineering edirion),2009,22(2):97-101. |
| |
| Authors: | GENG Jia-qiang BI Chun-jia |
| |
| Institution: | ( School of Mathematics and Informational Science, Yantai University, Yantai 264005 ,China) |
| |
| Abstract: | We consider discontinuous finite volume element approach to the second order hyperbolic problems. On the original grid, piecewise linear polynomial function space is used as the trial function space in this method, while on the dual grid, piecewise constant function space is used as the test function space. Finally the optimal order error estimate in a grid-dependent norm is given. |
| |
| Keywords: | discontinuous finite volume element method hyperbolic equations semi-discrete scheme |
| 本文献已被 维普 万方数据 等数据库收录！ |
