一种求解时间分数阶非线性抛物型方程的等阶混合有限元
An equal-order mixed finite element for the time fractional nonlinear parabolic equations
唐瑜岭 1胡朝浪 1杨荣奎 1冯民富1
作者信息
摘要
为数值求解时间分数阶非线性抛物型方程,本文提出了一种k 次等阶混合有限元.为获得有限元的完全离散格式,本文在时间方向上考虑经典L1格式、在空间方向上使用基于局部投影的稳定混合有限元.本文定义了混合投影并得到了有限元的误差估计.数值算例验证了理论结果.
Abstract
In this paper,we propose a k-th equal-order mixed finite element for the numerical solutions of the time fractional nonlinear parabolic equations.To obtain the fully discrete scheme of finite element,the classi-cal L1 scheme is used in the time direction and the stabilized mixed finite element method based on local pro-jection is used in the spatial direction.We define the mixed projection and give the error estimate for the finite element.Numerical examples verify the theoretical results.
关键词
混合有限元/时间分数阶非线性抛物型方程/逼近Key words
Mixed finite element/Time fractional nonlinear parabolic equation/Approximation引用本文复制引用
出版年
2024
国家科技期刊平台
NSTL
万方数据