Solution Of An Inverse Stokes Problem Using Interior Data
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A. Zeb, L. Elliott, D.B. Ingham & D. Lesnic
In this paper we investigate the solution of the Stokes equations in two di- mensions with an unspecified surface fluid velocity, or one of its components, over a part of its boundary by introducing extra interior pressure measure- ments. It has been shown that the boundary element method (BEM), com- bined with the Tikhonov regularization procedure with the choice of the regularization parameter based on the L-curve criterion, provides a stable numerical solution of the Stokes problem which converges to the exact so- lution as the amount of error in the interior data decreases. 1 Introduction The non-dimensional approximate Stokes equations which govern the steady state flow of fluids at very low Reynolds number are given by ^£ — Vp or vtjj —p,i in SI 1 , .