Second-Order Convergence of the Linearly Extrapolated Crank-Nicolson Method for the Navier-Stokes Equations with H1 Initial Data

被引：0

作者：

Li, Buyang ^{[1
]}

Ma, Shu ^{[1
]}

Wang, Na ^{[2
]}

机构：

[1] Hong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R China

[2] Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2021年 / 88卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Navier-Stokes equations; Linearly extrapolated Crank-Nicolson method; Locally refined stepsizes; Nonsmooth initial data; Error estimate; FINITE-ELEMENT APPROXIMATION; PROJECTION METHODS; BASHFORTH SCHEME; ERROR; STABILITY; REGULARITY;

D O I：

10.1007/s10915-021-01588-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article concerns the numerical approximation of the two-dimensional nonstationary Navier-Stokes equations with H-1 initial data. By utilizing special locally refined temporal stepsizes, we prove that the linearly extrapolated Crank-Nicolson scheme, with the usual stabilized Taylor-Hood finite element method in space, can achieve second-order convergence in time and space. Numerical examples are provided to support the theoretical analysis.

引用

页数：20

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