AN INTEGRAL EQUATION METHOD FOR A MIXED INITIAL BOUNDARY VALUE PROBLEM FOR UNSTEADY STOKES SYSTEM IN A DOUBLY-CONNECTED DOMAIN

被引：0

作者：

Chapko, R. S. ^{[1
]}

Johansson, B. T. ^{[2
]}

Kantor, I. S.

机构：

[1] Ivan Franko Natl Univ Lviv, 1 Univ Str, UA-79000 Lvov, Ukraine

[2] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England

来源：

JOURNAL OF NUMERICAL AND APPLIED MATHEMATICS | 2010年 / 1卷 / 100期

关键词：

Unsteady Stokes system; mixed initial boundary value problem; Laguerre transformation; boundary integral equations; trigonometrical quadratures; Nystrom method;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a novel numerical method for a mixed initial boundary value problem for the unsteady Stokes system in a planar doubly-connected domain. Using a Laguerre transformation the unsteady problem is reduced to a system of boundary value problems for the Stokes resolvent equations. Employing a modified potential approach we obtain a system of boundary integral equations with various singularities and we use a trigonometric quadrature method for their numerical solution. Numerical examples are presented showing that accurate approximations can be obtained with low computational cost.

引用

页码：29 / 39

页数：11

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