Pearson, John W
(2015)
*
Block triangular preconditioning for time-dependent Stokes control.
*
In:
Proceedings in Applied Mathematics and Mechanics.
Wiley, pp. 727-730.
(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)
(KAR id:48974)

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://onlinelibrary.wiley.com/doi/10.1002/pamm.20... |

## Abstract

We consider the numerical solution of time-dependent Stokes control problems, an important class of flow control problems within the field of PDE-constrained optimization. The problems we examine lead to large and sparse matrix systems which, with suitable rearrangement, can be written in block tridiagonal form, with the diagonal blocks given by saddle point systems. Using previous results for preconditioning PDE-constrained optimization and fluid dynamics problems, along with well-studied saddle point theory, we construct a block triangular preconditioner for the matrix systems. Numerical experiments verify the effectiveness of our solver.

Item Type: | Book section |
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Subjects: |
Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysis Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations |

Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |

Depositing User: | John Pearson |

Date Deposited: | 09 Jun 2015 16:08 UTC |

Last Modified: | 16 Feb 2021 13:25 UTC |

Resource URI: | https://kar.kent.ac.uk/id/eprint/48974 (The current URI for this page, for reference purposes) |

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