Preconditioning for boundary control problems in incompressible fluid dynamics

DOI10.1002/NLA.2218arXiv1511.07375MaRDI QIDQ6267683

Publication date: 23 November 2015

Abstract: PDE-constrained optimization is a field of numerical analysis that combines the theory of PDEs, nonlinear optimization and numerical linear algebra. Optimization problems of this kind arise in many physical applications, prominently in incompressible fluid dynamics. In recent research, efficient solvers for optimization problems governed by the Stokes and Navier--Stokes equations have been developed which are mostly designed for distributed control. Our work closes a gap by showing the effectiveness of an appropriately modified preconditioner to the case of Stokes boundary control. We also discuss the applicability of an analogous preconditioner for Navier--Stokes boundary control and provide some numerical results.

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Optimality conditions for problems involving partial differential equations (49K20) Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Iterative numerical methods for linear systems (65F10) Discrete approximations in optimal control (49M25) Preconditioners for iterative methods (65F08)

This page was built for publication: Preconditioning for boundary control problems in incompressible fluid dynamics

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6267683)