Error Analysis of the Nonconforming P1 Finite Element Method to the Sequential Regularization Formulation for Unsteady Navier-Stokes Equations  

作　　者：Yanming Lai Kewei Liang Ping Lin Xiliang Lu Qimeng Quan 

机构地区：[1]School of Mathematics and Statistics,Wuhan University,Wuhan,Hubei 430072,China [2]School of Mathematical Sciences,Zhejiang University,Hangzhou,Zhejiang 310058,China [3]Division of Mathematics,University of Dundee,Dundee DD14HN,UK [4]School of Mathematics and Statistics and Hubei Key Laboratory of Computational Science,Wuhan University,Wuhan 430072,China

出　　处：《Annals of Applied Mathematics》2024年第1期43-70,共28页应用数学年刊（英文版）

基　　金：supported by the National Key Research and Development Program of China(No.2020YFA0714200);by the National Science Foundation of China(No.12371424).

摘　　要：In this paper we investigate the nonconforming P_(1) finite element ap-proximation to the sequential regularization method for unsteady Navier-Stokes equations.We provide error estimates for a full discretization scheme.Typi-cally,conforming P_(1) finite element methods lead to error bounds that depend inversely on the penalty parameter ∈.We obtain an ∈-uniform error bound by utilizing the nonconforming P_(1) finite element method in this paper.Numerical examples are given to verify theoretical results.

关 键 词：Navier-Stokes equations error estimates finite element method stabilization method 

分 类 号：O241.82[理学—计算数学]