Block triangular preconditioning for time-dependent Stokes control

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract / Description of output

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.
Original languageEnglish
Title of host publicationProceedings in Applied Mathematics and Mechanics
Subtitle of host publication86th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
EditorsG Zavarise, P Cinnella, M Campiti
PublisherWiley-VCH
Pages727-730
Number of pages4
Volume15
DOIs
Publication statusPublished - Oct 2015
EventYoung Researchers' Minisymposia 3: Discretization Aspects in PDE Contrained Optimization - Lecce, Italy
Duration: 23 Mar 201527 Mar 2015

Conference

ConferenceYoung Researchers' Minisymposia 3: Discretization Aspects in PDE Contrained Optimization
Country/TerritoryItaly
CityLecce
Period23/03/1527/03/15

Fingerprint

Dive into the research topics of 'Block triangular preconditioning for time-dependent Stokes control'. Together they form a unique fingerprint.

Cite this