MULTIGRID PRECONDITIONERS FOR THE NEWTON-KRYLOV METHOD IN THE OPTIMAL CONTROL OF THE STATIONARY NAVIER-STOKES EQUATIONS

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Draganescu1803.03890.pdf (574.92 KB)

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https://arxiv.org/pdf/1803.03890.pdf

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http://hdl.handle.net/11603/7929

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UMBC Mathematics and Statistics Department
UMBC Faculty Collection

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2018

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journal articles
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This item may be protected under Title 17 of the U.S. Copyright Law. It is made available by UMBC for non-commercial research and education. For permission to publish or reproduce, please contact the author.

Subjects

multigrid methods
PDE-constrained optimization
Navier-Stokes equations
finite elements

Abstract

In this work we construct multigrid preconditioners to be used in the Newton-Krylov method for a distributed optimal control problem constrained by the stationary Navier-Stokes equations. These preconditioners are shown to be of optimal order with respect to the convergence properties of the discrete methods use to solve the Navier-Stokes equations.