Numerical identification of parameters for a model of sedimentation processes

Inverse Problems

Volumn 19, Issue 4, 2003, Pages 951-972

  Coronel, Aníbal ^a   James, François ^b   Sepúlveda, Mauricio ^a  

^a UNIVERSITY OF CONCEPCIÓN   (Chile)

^b UNIVERSITÉ D'ORLÉANS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COSTS; DIFFUSION; MATHEMATICAL MODELS; PROBLEM SOLVING;

NUMERICAL IDENTIFICATION;

SEDIMENTATION;

EID: 0041975891     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/19/4/311     Document Type: Article

References (32)

1. Becker R 1982 Espesamiento contínuo, diseño y simulación de espesadores Engineering Thesis Universidad de Concepción
2. Bürger R, Bustos M C and Concha F 1999 Settling velocities of particulate systems: 9. Phenomenological theory of sedimentation processes: numerical simulation of flocculated suspensions in an ideal batch or continuous thickener Int. J. Miner. Process. 55 267-82
3. Bürger R and Wendland W L 1998 Entropy boundary and jump conditions in the theory of sedimentation with compression Math. Methods Appl. Sci. 21 865-82
4. Bürger R and Wendland W L 1998 Existence, uniqueness and stability of generalized solutions of an initial-boundary problem for a degenerating quasilinear parabolic equation J. Math. Anal. Appl. 218 207-39
5. Bürger R and Concha F 1998 Mathematical model and numerical simulation of the settling of flocculated suspensions Int. J. Multiphase Flow 24 1005-23
6. Bürger R, Wendland W L and Concha F 2000 Model equations for gravitational sedimentation-consolidation processes Z. Angew. Math. Mech. 80 79-92
7. Bürger R, Evje S, Karlsen K H and Lie K-A 2000 Numerical methods for the simulation of the settling of flocculated suspensions Chem. Eng. J. 80 91-104
8. Bürger R, Concha F, Fjelde K-K and Karlsen K H 2000 Numerical simulation of the settling of polydisperse suspensions of spheres Powder Technol. 113 30-54
9. Bürger R and Karlsen K H 2001 On some upwind difference schemes for the phenomenological sedimentation-consolidation process J. Eng. Math. 41 145-66
10. Bürger R, Evje S and Karlsen K H 2000 On strongly convection-diffusion problems modeling sedimentation-consolidation processes J. Math. Anal. Appl. 247 517-56
11. Bürger R, Concha F and Tiller F M 2000 Applications of the phenomenological theory to several published experimental cases of sedimentation process Chem. Eng. J. 80 105-117
12. Bustos M C and Concha F 1988 Simulation of batch sedimentation with compression AIChE J. 34 859-61
13. Bustos M C, Concha F, Bürger R and Tory M 1999 Sedimentation and Thickening (Dordrecht: Kluwer)
14. Cannon J R and Zachmann D 1982 Parameter determination in parabolic partial differential equations from overspecified boundary data Int. J. Eng. Sci. 20 779-88
15. Cannon J R 1964 Determination of certain parameters in heat conduction problems J. Math. Anal. Appl. 8 188-201
16. Carrillo J 1999 Entropy solutions for nonlinear degenerate problems Arch. Ration. Mech. Anal. 147 269-361
17. Chavent G 1979 Identification of distributed parameters: about the output least square method, its implementation, and identifiability Proc. 5th. IFAC Symp. Identification and System Parameter Estimations vol 1 (Oxford: Pergamon) pp 85-97
18. Chavent G and Cohen G 1977 Numerical approximations and identification in 1-D parabolic degenerate non linear diffusion and transport equation Proc. 7th. IFIP Conf. on Optimization Methods (Würzburg, FRG)
19. Cockburn B and Gripenberg G 1999 Continuous dependence on the nonlinearities of solutions of degenerate parabolic equations J. Diff. Eqns 151 231-51
20. Concha F and Enero 2002 Private communication
21. Evje S, Karlsen K H and Risebro N H 2001 A continuous dependence result for nonlinear degenerate parabolic equations with spatially dependent flux function Hyperbolic Problems: Theory, Numerics, Applications (Int. Series of Numerical Mathematics vol 140) ed H Freistüler and G Warnecke (Basle: Birkhäuser) pp 337-46
22. Garrido P, Bürger R and Concha F 2000 Settling velocities of particulate systems: 11. Comparison of the phenomenological sedimentation-consolidation model with published experimental results Int. J. Miner. Process. 60 213-27
23. Gutman S 1990 Identification of discontinuous parameters in flow equations SIAM J. Control Optim. 28 1049-60
24. James F and Sepúlveda M 1999 Convergence results for the flux identification in a scalar conservation law SIAM J. Control Optim. 37 869-91
25. James F and Sepúlveda M 1994 Parameter identification for a model of Chromatographic column Inverse Problems 10 1299-314
26. James F and Sepúlveda M 1993 Parameter identification for an hyperbolic equation modelling chromatography Nonlinear Hyperbolic Problems: Theoretical, Applied and Computational Aspects (Notes on Numerical Fluid Mechanics) vol 43, ed A Donato and F Oliveri (Vienna: Vieweg) pp 347-53
27. Karlsen K H and Risebro N H 2003 On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients Discrete Contin. Dyn. Syst. A 9 1081-104
28. Keung Y L and Zou J 1998 Numerical identification of parameters in parabolic systems Inverse Problems 14 83-100
29. Kružkov S N 1970 First order quasi-linear equations in several independent variables Math. USSR Sbornik 10 217-43
30. Kunisch K and White L 1985 The parameter estimation problem for parabolic equations and discontinuous observation operators SIAM J. Control Optim. 23 900-27
31. Richardson J F and Zaki W N 1954 The sedimentation of uniform spheres under conditions of viscous flow Chem. Eng. Sci. 3 65-73
32. Yamamoto M and Zou J 2001 Simultaneous reconstruction of the initial temperature and heat radiative coefficient Inverse Problems 17 1181-202