ON ERROR-ESTIMATES OF PROJECTION METHODS FOR NAVIER-STOKES EQUATIONS - 1ST-ORDER SCHEMES

被引：238

作者：

Shen, J

机构：

[1] INDIANA UNIV, DEPT MATH, BLOOMINGTON, IN 47405 USA

[2] INDIANA UNIV, INST APPL MATH & SCI COMP, BLOOMINGTON, IN 47405 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1992年 / 29卷 / 01期

关键词：

PROJECTION METHOD; NAVIER-STOKES EQUATIONS; RATE OF CONVERGENCE;

D O I：

10.1137/0729004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper projection methods (or fractional step methods) are studied in the semidiscretized form for the Navier-Stokes equations in a two- or three-dimensional bounded domain. Error estimates for the velocity and the pressure of the classical projection scheme are established via the energy method. A modified projection scheme which leads to improved error estimates is also proposed.

引用

页码：57 / 77

页数：21

共 19 条

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