| 一维不可压缩两相渗流驱动问题的特征有限体积元方法 |
| |
| 引用本文： | 封常荣,陈传军. 一维不可压缩两相渗流驱动问题的特征有限体积元方法[J]. 烟台大学学报(自然科学与工程版), 2008, 21(3): 166-171 |
| |
| 作者姓名： | 封常荣 陈传军 |
| |
| 作者单位： | 烟台大学,数学与信息科学学院,山东,烟台,264005 |
| |
| 摘 要： | 在初始网格剖分上采取分段线性函数空间作为特征有限体积元方法的试探函数空间，在相应的对偶网格上采取分段常数函数空间作为其检验函数空间，将特征线方法与有限体积元方法相结合，构造出特征有限体积元方法，对一维不可压缩两相渗流驱动问题提出了全离散有特征限体积元方法，并得到最优阶的H^1模误差估计，
|
| 关 键 词： | 特征有限体积元方法 不可压缩 全离散 线性元 误差估计 |
Characteristic Finite Volume Element Method for One Dimensional Two-Phase Incompressible Flow in Porous Media |
| |
| FENG Chang-rong,CHEN Chuan-jun. Characteristic Finite Volume Element Method for One Dimensional Two-Phase Incompressible Flow in Porous Media[J]. Journal of Yantai University(Natural Science and Engineering edirion), 2008, 21(3): 166-171 |
| |
| Authors: | FENG Chang-rong CHEN Chuan-jun |
| |
| Affiliation: | (School of Mathematics and Informational Science, Yantai University, Yantai 264005, China) |
| |
| Abstract: | A characteristic finite volume element method is given for one dimensional two-phase incompressible flow in porous media. On the original grid, piecewise linear polynomial function space is used as the trial function space in this method. And on the dual grid, piecewise constant function space is used as the test function space. Combining the characteristic method and the finite volume element method, a characteristic finite volume element one is formalated. Finally an error estimate in the H1-norm is given. |
| |
| Keywords: | characteristics-fnite volume element method incompressible fully discrete linear-element error estimate |
| 本文献已被 维普 万方数据 等数据库收录！ |
