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Reconstruction of a stationary flow from incomplete boundary data using iterative methods

Published online by Cambridge University Press:  05 February 2007

TOMAS JOHANSSON  and
DANIEL LESNIC
TOMAS JOHANSSON
Affiliation:
Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK email: [email protected]
DANIEL LESNIC
Affiliation:
Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK email: [email protected]
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Abstract

In this paper, three iterative procedures (Landweber-Fridman, conjugate gradient and minimal error methods) for obtaining a stable solution to the Cauchy problem in slow viscous flows are presented and compared. A section is devoted to the numerical investigations of these algorithms. There, we use the boundary element method together with efficient stopping criteria for ceasing the iteration process in order to obtain stable solutions.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 17 , Issue 6 , December 2006 , pp. 651 - 663
Copyright
2007 Cambridge University Press

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