Block triangular preconditioning for time-dependent Stokes control

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)

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
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: 09 Jun 2015 16:08 UTC
Last Modified: 07 Nov 2016 10:30 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/48974 (The current URI for this page, for reference purposes)
  • Depositors only (login required):