Publication Cover
Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 11
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Original Articles

A variational conjugate gradient method for determining the fluid velocity of a slow viscous flow

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Pages 1327-1341 | Received 01 Feb 2006, Accepted 05 Jun 2006, Published online: 25 Jan 2007
 

Abstract

The problem considered is that of determining the fluid velocity for linear hydrostatics Stokes flow of slow viscous fluids from measured velocity and fluid stress force on a part of the boundary of a bounded domain. A variational conjugate gradient iterative procedure is proposed based on solving a series of mixed well-posed boundary value problems for the Stokes operator and its adjoint. In order to stabilize the Cauchy problem, the iterations are ceased according to an optimal order discrepancy principle stopping criterion. Numerical results obtained using the boundary element method confirm that the procedure produces a convergent and stable numerical solution.

Acknowledgements

The first author acknowledges grants and support from the Wenner-Gren foundations. Both authors would like to thank the referee for constructive suggestions.

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