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| 对流扩散方程双线性有限元解的一致估计 | |
| 引用本文： | 林群,王凯欣,王宏,阴小波. 对流扩散方程双线性有限元解的一致估计[J]. 数学的实践与认识, 2011, 41(18) |
| 作者姓名： | 林群 王凯欣 王宏 阴小波 |
| 作者单位： | 1. 中科院数学与系统科学研究院,北京,100190 2. 山东大学数学学院,山东济南,250100 3. 南卡罗莱纳大学数学系,南卡罗莱纳州29208 4. 华中师范大学数学与统计学院,武汉,430079 |
| 摘 要： | 证明了对流扩散方程的半离散双线性Galerkin有限元方法关于小参数ε一致的最优阶误差估计,其中的常数只与初值和右端函数有关,而与小参数ε无关. |
| 关 键 词： | 双线性元 积分恒等式 一致误差估计 半离散Galerkin方法 |
A Uniform Error Estimate for Bilinear Finite Element Solution of Advection-diffusion Equations |
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| LIN Qun,WANG Kai-xin,WANG Hong,YIN Xiao-bo. A Uniform Error Estimate for Bilinear Finite Element Solution of Advection-diffusion Equations[J]. Mathematics in Practice and Theory, 2011, 41(18) | |
| Authors: | LIN Qun WANG Kai-xin WANG Hong YIN Xiao-bo |
| Affiliation: | LIN Qun~1,WANG Kai-xin~2,WANG Hong~3,YIN Xiao-bo~4 (1.Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China) (2.School of Mathematics,Shandong University,Jinan 250100,China) (3.Department of Mathematics,University of South Carolina,South Carolina 29208,USA) (4.School of Mathematics and Statistics,Central China Normal University,Wuhan 430079,China) |
| Abstract: | In this paper we prove an optimal-order error estimate for semidiscrete bilinear Galerkin finite element method for time-dependent advection-diffusion equations,in which the general constants depend only on the Sobolev norms of the initial and right data,but not on the scaling parameter ε. |
| Keywords: | Bilinear element integral identities uniform error estimate semi-discrete Galerkin method |
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