A functional optimization approach to an inverse magneto-convection problem

Computer Methods in Applied Mechanics and Engineering

Volumn 190, Issue 15-17, 2001, Pages 2063-2097

  Sampath, Rajiv ^a   Zabaras, Nicholas ^a  

^a Cornell University   (United States)

Author keywords

Adjoint techniques; Functional optimization; Inverse problems; MHD; Regularization; Stabilized finite element methods

Indexed keywords

CONVECTION; FINITE ELEMENT METHOD; INCOMPRESSIBLE FLUID; MAGNETOHYDRODYNAMICS; MATHEMATICAL METHOD; VISCOUS FLUID;

EID: 0035808193     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(00)00222-X     Document Type: Article

References (51)

1. Inverse finite element techniques for the analysis of solidification processes
2. On the design of two-dimensional Stefan processes with desired freezing front motions
3. On the solution of an ill-posed inverse design solidification problem using minimization techniques in finite and infinite dimensional spaces
4. Control of the freezing interface motion in two-dimensional solidification processes using the adjoint method
5. An inverse convection problem
6. Heating and cooling control of temperature distributions along boundaries of flow domains
7. Analysis, approximation, and computation of a coupled solid/fluid temperature control problem
8. A functional optimization formulation and implementation of an inverse natural convection problem
9. Adjoint methods for the design of solidification processes with natural convection
10. The adjoint method for an inverse design problem in the directional solidification of binary alloys
11. Adjoint methods for inverse free convection problems with applications to solidification processes
12. Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity pressure elements
13. Unsteady incompressible flow computations with the finite element method
14. A new mixed preconditioning method for finite element computations
15. Stabilized finite element formulations for incompressible flow computations
16. Physics based GMRES preconditioner for compressible and incompressible Navier-Stokes equations
17. Liquid metal in a strong magnetic field
18. Magnetohydrodynamic problem in the aluminum industry
19. The use of magnetic fields in semiconductor crystal growth
20. Analysis and finite-element simulation of MHD flows, with an application to liquid metal processing
21. Numerical study of convection in the horizontal Bridgman configuration under the action of a constant magnetic field. Part 1. Two-dimensional flow
22. Theory of algorithms for unconstrained optimization
23. On the limited memory method for large scale optimization
24. Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
25. A functional optimization formulation of an inverse design magneto-convection problem
26. Stabilized finite-element methods: II. The incompressible Navier-Stokes equations
27. Numerical solution of a flow-control problem: Vorticity reduction by dynamic boundary action
28. Circumventing storage limitations in variational data assimilation studies
29. Achieving logarithmic growth of temporal and spatial complexity in reverse automatic differentiation
30. Analysis of costate discretizations in parameter estimation for linear evolution equations
31. Finite-dimensional approximation of a class of constrained nonlinear optimal control problems
32. An object-oriented framework for the implementation of adjoint techniques in the design and control of complex continuum systems
33. Parallel solution of optimal-control problems by time-domain decomposition
34. Inverse design of directional solidification processes in the presence of a strong external magnetic field