• 论文 •

对流扩散方程迎风有限元的自适应方法

1. 南开大学数学学院科学计算所与教育部核心数学与组合数学实验室 南开大学、天津大学联合研究院应用数学中心,南开大学数学学院科学计算所与教育部核心数学与组合数学实验室 南开大学、天津大学联合研究院应用数学中心,南开大学数学学院科学计算所与教育部核心数学与组合数学实验室 南开大学、天津大学联合研究院应用数学中心 天津 300071 ,天津 300071 ,天津 300071
• 出版日期:2005-04-14 发布日期:2005-04-14

ADAPTIVE UPWIND FINITE ELEMENT METHOD FOR CONVECTION-DIFFUSION EQUATIONS

1. Zhao Zhiyong Hu Jianwei Sun Lin (ISC and LPMC, School of Mathematical Science, Nankai University; CAM, United Academy of Nankai University and Tianjin University, Tianjin 300071, China)
• Online:2005-04-14 Published:2005-04-14

The explicit a posterior error estimators of upwind finite element for two dimensional evolution convection-diffusion equations are formulated and the above and below bound of estimator compared with true error are proved. An adaptive method based on these estimators is then proposed and numerical results show the efficiency of our method.

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