Mesh adaptation for Dirichlet flow control via Nitsche's method

Communications in Numerical Methods in Engineering

Volumn 18, Issue 9, 2002, Pages 669-680

  Becker, R ^a  

^a UNIVERSITY OF HEIDELBERG   (Germany)

Author keywords

Dirichlet control; Error control; Finite elements; Mesh adaptation; Optimal control

Indexed keywords

BOUNDARY CONDITIONS; ERROR DETECTION; FINITE ELEMENT METHOD; NAVIER STOKES EQUATIONS; OPTIMIZATION;

DISCRETIZATION;

NUMERICAL METHODS;

FINITE ELEMENT METHOD; FLOW CONTROL; FLOW MODELING; MODELING ERROR;

EID: 0036740009     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/cnm.529     Document Type: Article

References (18)

1. Mesh adaptation for stationary flow control
2. Adaptive finite element methods for optimal control of partial differential equations: Basic concepts
3. Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind
4. Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with Dirichlet controls
5. The velocity tracking problem for Navier-Stokes flows with boundary control
6. A penalized Neumann control approach for solving an optimal Dirichlet control problem for the Navier-Stokes equations
7. Numerical approximation of optimal flow control problems by a penalty method: Error estimates and numerical results
8. On weakly imposed boundary conditions for second order problems
9. A finite element pressure gradient stabilization for the Stokes equations based on local projections
10. Stabilization of Galerkin approximations of transport equations by subgrid modeling
11. A feed-back approach to error control in finite element methods: Basic analysis and examples
12. An optimal control approach to a posteriori error estimation for finite element discretizations of the Navier-Stokes equations
13. A reduced-order method for simulation and control of fluid flows
14. On suboptimal control strategies for the Navier-Stokes equations