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 language | English |
|---|---|
| Pages (from-to) | 29-39 |
| Number of pages | 11 |
| Journal | Journal of Numerical and Applied Mathematics |
| Volume | 100 |
| Issue number | 1 |
| Publication status | Published - 2010 |
Keywords
- unsteady Stokes system
- mixed initial boundary value problem
- Laguerre transformation
- boundary integral equations
- trigonometrical quadratures
- Nyström method