Unconditional Optimal Error Estimates for the Transient Navier-Stokes Equations with Damping

被引：4

作者：

Li, Minghao ^{[1
]}

Li, Zhenzhen ^{[2
]}

Shi, Dongyang ^{[3
]}

机构：

[1] Henan Univ Technol, Coll Sci, Zhengzhou 450001, Henan, Peoples R China

[2] Zhengzhou Univ Light Ind, Coll Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China

[3] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China

来源：

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2022年 / 14卷 / 01期

关键词：

Navier-Stokes equations with damping; linearized backward Euler scheme; error splitting technique; unconditional optimal error estimates; FINITE-ELEMENT METHODS; MODIFIED CHARACTERISTICS FEMS; NICOLSON GALERKIN FEMS; SUPERCONVERGENCE ANALYSIS; MIXED-FEM; CONVERGENCE; STABILITY; SCHEME; APPROXIMATION; WEAK;

D O I：

10.4208/aamm.OA-2020-0239

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the transient Navier-Stokes equations with damping are con-sidered. Firstly, the semi-discrete scheme is discussed and optimal error estimates are derived. Secondly, a linearized backward Euler scheme is proposed. By the error split technique, the Stokes operator and the H-1-norm estimate, unconditional optimal er-ror estimates for the velocity in the norms L infinity(L2) and L infinity(H1), and the pressure in the norm L infinity(L2) are deduced. Finally, two numerical examples are provided to confirm the theoretical analysis.

引用

页码：248 / 274

页数：27

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