On the Newton method in robust control of fluid flow

T. Tachim Medjo

doi:10.3934/dcds.2003.9.1201

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2003, Volume 9, Issue 5: 1201-1222. Doi: 10.3934/dcds.2003.9.1201

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On the Newton method in robust control of fluid flow

T. Tachim Medjo^1,

1.
Department of Mathematics, Florida International University, DM413B, University Park, Miami, Florida 33199

Received: April 2002

Revised: February 2003

Published: September 2003

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Abstract

In this article we consider the Newton method for the numerical solution of a class of robust control problems in fluid mechanics recently studied in [5]. We prove the local convergence of the algorithm and we obtain the rate of convergence of the method.

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Mathematics Subject Classification: 65N12, 49K35, 76D55.

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