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Preconditioned iterative methods for Navier-Stokes control problems

Pearson, John W (2015) Preconditioned iterative methods for Navier-Stokes control problems. Journal of Computational Physics, 292 . pp. 194-207. ISSN 0021-9991. (doi:10.1016/j.jcp.2015.03.029) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)
Official URL
http://dx.doi.org/10.1016/j.jcp.2015.03.029

Abstract

PDE-constrained optimization problems are a class of problems which have attracted much recent attention in scientific computing and applied science. In this paper we discuss preconditioned iterative methods for a class of (time-independent) Navier–Stokes control problems, one of the main problems of this type in the field of fluid dynamics. Having detailed the Picard-type iteration we use to solve the problems and derived the structure of the matrix system to be solved at each step, we utilize the theory of saddle point systems to develop efficient preconditioned iterative solution techniques for these problems. We also require theory of solving convection–diffusion control problems, as well as a commutator argument to justify one of the components of the preconditioner.

Item Type: Article
DOI/Identification number: 10.1016/j.jcp.2015.03.029
Uncontrolled keywords: PDE-constrained optimization; Navier–Stokes control; Picard iteration; preconditioning; Schur complement
Subjects: Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysis
Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: John Pearson
Date Deposited: 30 Apr 2015 16:54 UTC
Last Modified: 29 May 2019 14:28 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/48159 (The current URI for this page, for reference purposes)
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