| 一类线性Sobolev方程的迎风混合元方法 |
| |
| 引用本文： | 郑瑞瑞,孙同军.一类线性Sobolev方程的迎风混合元方法[J].山东大学学报(理学版),2011,46(4):23-28. |
| |
| 作者姓名： | 郑瑞瑞 孙同军 |
| |
| 作者单位： | 山东大学数学学院,山东济南,250100 |
| |
| 基金项目： | 山东省中青年科学家奖励基金(BS2009NJ003) |
| |
| 摘 要： | 在有限元空间上采用迎风混合元方法对线性Sobolev方程进行数值模拟.此方法对线性Sobolev方程中的对流项采用迎风格式处理,扩散项则采用扩展的混合元来逼近,降低了对解空间光滑度的要求,能同时高精度地对未知纯量以及流量进行估计,得到最优的L2-模误差估计.最后,数值例子将进一步说明该方法的可行性和有效性.
|
| 关 键 词： | 迎风混合元方法 线性Sobolev方程 最优误差估计 |
An upwind-mixed method for the linear Sobolev equation |
| |
| ZHENG Rui-rui
,
SUN Tong-jun.An upwind-mixed method for the linear Sobolev equation[J].Journal of Shandong University,2011,46(4):23-28. |
| |
| Authors: | ZHENG Rui-rui SUN Tong-jun |
| |
| Institution: | ZHENG Rui-rui,SUN Tong-jun(School of Mathematics,Shandong University,Jinan 250100,Shandong,China) |
| |
| Abstract: | An upwind-mixed method is presented to simulate the linear Sobolev equation in finite element space.The convection term in the linear Sobolev equation is approximated by the upwind method and the diffusion term by an expanded mixed finite element method.The method can simultaneously and effectively approximate the scalar unknown and the vector flux,while reducing the continuity of the finite element space.Optimal rate error estimates in L2-norm can be obtained.Finally,a numerical experiment is given to illu... |
| |
| Keywords: | upwind-mixed method linear Sobolev equation optimal error estimates |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
