应用数学2018，Vol.31Issue(1)：79-88,10.
多项时间分数阶扩散方程类Wilson非协调元的超收敛分析
Superconvergence Analysis of Quasi-Wilson Nonconforming Element for Multi-Term Time Fractional Diffusion Equations
摘要
Abstract
A quasi-Wilson nonconforming finite element method for a class of two-dimensional multi-term time fractional diffusion equations with Caputo fractional derivative is established under clas-sical L1 discrete scheme. Firstly, the unconditional stability of the approximate scheme is proved. Secondly, by use of the special property of the element and fractional derivative skillfully technique, superclose result is derived. Moreover, the superconvergence estimate is obtained through the interpolated postprocessing technique.关键词
多项时间分数阶扩散方程/类Wilson元/全离散格式/超逼近和超收敛Key words
Multi-term time fractional diffusion equation/Quasi-Wilson element/Fully-discrete scheme/Superclose and superconvergence分类
数理科学引用本文复制引用
王芬玲,张景丽,樊明智,赵艳敏,史艳华..多项时间分数阶扩散方程类Wilson非协调元的超收敛分析[J].应用数学,2018,31(1):79-88,10.基金项目
国家自然科学基金(11101381) （11101381）
河南省教育厅自然科学基金项目(16A110022 （）
17A110011) （）
