FINITE-ELEMENT APPROXIMATION OF THE NONSTATIONARY NAVIER-STOKES PROBLEM .4. ERROR ANALYSIS FOR 2ND-ORDER TIME DISCRETIZATION

被引：755

作者：

HEYWOOD, JG ^{[1
]}

RANNACHER, R ^{[1
]}

机构：

[1] UNIV HEIDELBERG,W-6900 HEIDELBERG,GERMANY

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1990年 / 27卷 / 02期

关键词：

D O I：

10.1137/0727022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper provides an error analysis for the Crank-Nicolson method of time discretization applied to spatial discrete Galerkin approximations of the nonstationary Navier-Stokes equations. Second-order error estiamtes are proven locally in time under realistic assumptions about the regularly of the solution. For approximations of an exponentially stable solution, these local error estimates are extended uniformly in time as t → ∞.

引用

页码：353 / 384

页数：32

共 13 条

[1]

Baker G, 1976, GALERKIN APPROXIMATI

[2]

BAKER GA, 1982, MATH COMPUT, V39, P339, DOI 10.1090/S0025-5718-1982-0669634-0

[3]

GIRAULT V, 1980, LECTURE NOTES MATH, V749

[4] FINITE-ELEMENT APPROXIMATION OF THE NONSTATIONARY NAVIER-STOKES PROBLEM .1. REGULARITY OF SOLUTIONS AND 2ND-ORDER ERROR-ESTIMATES FOR SPATIAL DISCRETIZATION [J].