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    STUDIA MATHEMATICA - Issue no. 4 / 2006  
         
  Article:   LAPLACIAN DECOMPOSITION METHOD FOR INVERSE STOKES PROBLEMS.

Authors:  A.E. CURTEANU, L. ELLIOTT, D.B. INGHAM, D. LESNIC.
 
       
         
  Abstract:  This paper considers an inverse boundary value problem as- sociated to the Stokes equations which govern the motion of slow viscous ncompressible fluid flows. The solution of tliese equations is analyzed using a novei technique based on a Laplacian decomposition instead of the more tradiĊ£ional approaches based on the biharmonic streamfunction formulation or the velocity-pressure formulation. The determination of the under-specified boundary values of the normal fluid velocity is made possible by utizing within the analysis additional pressure measurements which are avaiable from elsewhere on the boundary. Results both on the boundary and inside the solution domain are presented and discussed for a simple benchmark test example and an applcation in a square geometry i order to iustrate that the Laplacian decomposition in combination with BEM provides an efncient technique, in terms of accuracy, convergence and stabity to investigate numerically an inverse Stokes flow.  
         
     
         
         
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