多项时间分数阶扩散方程类Carey非协调元的误差分析
Error Analysis of Quasi-Carey Nonconforming Element for Multi-Term Time Fractional Diffusion Equations
马国锋1
作者信息
- 1. 许昌学院 数理学院,河南 许昌 461000
- 折叠
摘要
基于L1 全离散格式,针对具有Caputo导数的二维多项时间分数阶扩散方程给出了类Carey非协调有限元方法.利用该单元的特殊性质和分数阶导数巧妙的处理技巧导出了L2 模和H1 模意义下的最优误差估计.
Abstract
A quasi-Carey nonconforming finite element method for a class of two-dimensional multi-term time fractional diffusion equations with Caputo fractional derivative is established under classical L1 fully-discrete ap-proximation scheme.By use of the special property of the element and fractional derivative skillfully technique,the optimal error estimates in L2-norm and H1-norm are derived.
关键词
多项时间分数阶扩散方程/类Carey元/全离散格式/最优误差估计Key words
multi-term time fractional diffusion equations/Quasi-Carey element/fully-discrete scheme/op-timal error estimate引用本文复制引用
出版年
2024
NETL
NSTL
万方数据