Convergence Rate Estimates for a Projection-Difference Scheme as Applied to the Nonstationary Stokes Equation in Cylindrical Coordinates

被引：0

作者：

Aksenova, E. I. ^{[1
]}

机构：

[1] Praktika Law Firm, Moscow 127473, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2010年 / 50卷 / 05期

关键词：

nonstationary Stokes equation; cylindrical coordinates; domain with a small hole; nonsmooth data; implicit projection-difference scheme; convergence rate estimate;

D O I：

10.1134/S0965542510050106

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An implicit projection-difference scheme is constructed for the nonstationary Stokes equation in cylindrical coordinates. No axial symmetry is assumed. Under minimal assumptions about the initial data, convergence rate estimates are obtained that are uniform in the inner radius of the domain of order (tau(1/2) + h)(alpha), alpha = 1, 2. The results remain valid for domains with no hole and in the case of Cartesian coordinates.

引用

页码：862 / 876

页数：15

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