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
收藏
页码：29 / 39
页数：11
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