Long-time H1-stability of BDF2 time stepping for 2D Navier-Stokes equations

被引：3
|
作者：
Rebholz, L. [1 ]
Tone, F. [2 ]
机构：
[1] Clemson Univ, Sch Math & Stat Sci, Clemson, SC 29634 USA
[2] Univ West Florida, Dept Math & Stat, Pensacola, FL 32514 USA
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 141卷
基金：
美国国家科学基金会;
关键词：
Navier-Stokes equations; BDF2; scheme; Long-time stability; STABILITY; SCHEME; REGULARIZATION;
D O I：
10.1016/j.aml.2023.108624
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the H1-stability for all positive time of the BDF2 scheme for the 2D Navier-Stokes equations. More precisely, we discretize in time using the backward differentiation formula (BDF2), and with the aid of the discrete Gronwall lemma and of the discrete uniform Gronwall lemma we prove that the numerical scheme admits this stability. (c) 2023 Elsevier Ltd. All rights reserved.
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