四川大学学报（自然科学版）2026，Vol.63Issue(1)：72-82,11.DOI:10.19907/j.0490-6756.250047
分数阶Navier-Stokes方程的弱Galerkin有限元解
Weak Galerkin finite element solution for fractional Navier-Stokes equations
摘要
Abstract
In this paper,the weak Galerkin finite element method is used to solve the time fractional Navier-Stokes equations.A fully discrete scheme is established,where the weak Galerkin finite element is used to discrete the i(i≥1),i-1and i-1 degree polynomials in the spatial direction,respectively,to approximate the velocity and pressure inside the cell and the velocity on the cell boundary.The time Caputo-fractional de-rivative is discretized by a finite difference scheme.The stability and error estimation are analyzed and the opti-mal error estimation is obtained.Numerical examples verify the effectiveness of the proposed method.关键词
时间分数阶Navier-Stokes方程/弱Galerkin有限元/稳定性/误差估计Key words
time fractional Navier-Stokes equations/weak Galerkin finite element/stability/error estimation分类
数理科学引用本文复制引用
覃燕梅,段萌萌,谢春梅,冯民富..分数阶Navier-Stokes方程的弱Galerkin有限元解[J].四川大学学报（自然科学版）,2026,63(1):72-82,11.基金项目
国家自然科学基金(11271273) （11271273）
四川省自然科学基金(2025ZNSFSC0079) （2025ZNSFSC0079）
数值仿真四川省高等学校重点实验室开放基金(2023SZFZ004,2023SZFZ005) （2023SZFZ004,2023SZFZ005）
