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 language | English |
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Title of host publication | Proceedings in Applied Mathematics and Mechanics |
Subtitle of host publication | 86th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) |
Editors | G Zavarise, P Cinnella, M Campiti |
Publisher | Wiley-VCH |
Pages | 727-730 |
Number of pages | 4 |
Volume | 15 |
DOIs | |
Publication status | Published - Oct 2015 |
Event | Young Researchers' Minisymposia 3: Discretization Aspects in PDE Contrained Optimization - Lecce, Italy Duration: 23 Mar 2015 → 27 Mar 2015 |
Conference
Conference | Young Researchers' Minisymposia 3: Discretization Aspects in PDE Contrained Optimization |
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Country/Territory | Italy |
City | Lecce |
Period | 23/03/15 → 27/03/15 |