An integral equation method for a mixed initial boundary value problem for unsteady Stokes system in a doubly-connected domain

R.S. Chapko, B.T. Johansson, I.S. Kantor

Research output: Contribution to journalArticle

Abstract

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 modied 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.
Original languageEnglish
Pages (from-to)29-39
Number of pages11
JournalJournal of Numerical and Applied Mathematics
Volume100
Issue number1
Publication statusPublished - 2010

Keywords

  • unsteady Stokes system
  • mixed initial boundary value problem
  • Laguerre transformation
  • boundary integral equations
  • trigonometrical quadratures
  • Nyström method

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