An optimal control approach to adaptivity in computational fluid mechanics

International Journal for Numerical Methods in Fluids

Volumn 40, Issue 1-2, 2002, Pages 105-120

  Becker, R ^a   Heuveline, V ^a   Rannacher, R ^a  

^a UNIVERSITY OF HEIDELBERG   (Germany)

Author keywords

Eigenvalue computation; Error control; Finite elements; Hydrodynamic stability; Mesh adaptation; Optimal control

Indexed keywords

DRAG; FLOW OF FLUIDS; OPTIMIZATION;

REFINEMENTS;

FLUID MECHANICS;

COMPUTATIONAL FLUID DYNAMICS; EIGENVALUE; FINITE ELEMENT METHOD; HYDRODYNAMICS; MODELING ERROR;

EID: 0037056476     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.269     Document Type: Article

References (17)

1. An optimal control approach to error control and mesh adaptation in finite element methods
2. Weighted error estimators for finite element approximations of the incompressible Navier-Stokes equations
3. Mesh adaptation for stationary flow control
4. Adaptive finite element methods for flow problems
5. Numerical simulation of laminar flames at low Mach number with adaptive finite elements
6. Adaptive finite element methods for low-Mach-number flows with chemical reactions
7. The benchmark problem flow around a cylinder
8. A Galerkin procedure for elliptic and parabolic boundary value problems
9. A new finite element formulation for computational fluid dynamics: V. Circumvent the Babuska-Brezzi condition: A stable Petrov-Galerkin formulation for the Stokes problem accomodating equal order interpolation
10. Streamline upwind/Petrov Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equation
11. Introduction to adaptive methods for differential equations
12. Weighted a posteriori error control in FE methods
13. A feed-back approach to error control in finite element methods: Basic analysis and examples
14. Adaptive finite element methods for optimal control of partial differential equations: Basic concepts