Model functions in the modified L-curve method - Case study: The heat flux reconstruction in pool boiling

Inverse Problems

Volumn 26, Issue 5, 2010, Pages

  Heng, Yi ^a   Lu, Shuai ^b,c   Mhamdi, Adel ^a   Pereverzev, Sergei V ^b  

^a RWTH AACHEN UNIVERSITY   (Germany)

^b JOHANN RADON INSTITUTE FOR COMPUTATIONAL AND APPLIED MATHEMATICS   (Austria)

^c FUDAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

APPROPRIATE MODELS; BOILING SURFACES; COMPUTATIONAL COSTS; HEURISTIC REGULARIZATION; ILL POSED PROBLEM; L-CURVE; L-CURVE METHODS; MODEL FUNCTIONS; POOL BOILING; REGULARIZATION PARAMETERS; RESIDUAL NORM;

COST REDUCTION; HEAT FLUX; PARAMETERIZATION;

HEURISTIC METHODS;

EID: 77951632559     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/26/5/055006     Document Type: Article

References (18)

1. Bazn F S V 2008 Fixed-point iterations in determining the Tikhonov regularization parameter Inverse Problems 24 035001 (15 pp)
2. Bazn F S V and Francisco J B 2009 An improved fixed-point algorithm for determining a Tikhonov regularization parameter Inverse Problems 25 045007 (16 pp)
3. Cook R D, Malkus D S and Plesha M E 1989 Concepts and Applications of Finite Element Analysis 3rd edn (New York: Wiley)
4. Engl H W, Hanke M and Neubauer A 1996 Regularization of Inverse Problems (Dordrecht: Kluwer)
5. Engl H W, Fusek P and Pereverzev S V 2005 Natural linearization for the identification of nonlinear heat transfer laws J. Inverse Ill-Posed Problem 13 567-82 (Pubitemid 43054503)
6. Hansen P C 1992 Analysis of discrete ill-posed problems by means of the L-curve SIAM Rev. 34 561-80
7. Hansen P C Moore tools http://www2.imm.dtu.dk/̃pch/
8. Hansen P C and O'Leary D P 1993 The use of the L-curve in the regularization of discrete ill-posed problems SIAM J. Sci. Comput. 14 1487-503
9. Heng Y, Lu S, Mhamdi A and Pereverzev S V 2009 Model function approach in the modified L-curve method for the choice of regularization parameter RICAM report 2009-08
10. Heng Y, et al. 2008 Identification of boiling heat fluxes in a single-bubble nucleate boiling experiment using a three-dimensional transient heat conduction model J. Phys.: Conf. Ser. 135 012051
11. Heng Y and Mhamdi A, et al. 2010 Estimation of local nucleate boiling heat flux using a three-dimensional transient heat conduction model Inverse Problems Sci. Eng. 18 279-94
12. Heng Y and Mhamdi A, et al. 2008 Reconstruction of local heat fluxes in pool boiling experiments along the entire boiling curve from high resolution transient temperature measurements Int. J. Heat Mass Transfer 51 5072-87
13. Kunisch K and Zou J 1998 Iterative choices of regularization parameters in linear inverse problems Inverse Problems 14 1247-64 (Pubitemid 128557070)
14. Mathé P and Pereverzev S V 2003 Geometry of linear ill-posed problems in variable Hilbert scales Inverse Problems 19 789-803
15. Regińska T 1996 A regularization parameter in discrete ill-posed problems SIAM J. Sci. Comput. 17 740-9
16. Stephan P and Hammer J 1994 A new model for nucleate boiling heat transfer Wärme- und Stoffübertragung 30 119-25
17. Wagner E, et al. 2007 Nucleate boiling at single artificial cavities: bubble dynamics and local temperature measurements 6th International Conference on Multiphase Flow (Leipzig, Germany, 9-13 July 2007)
18. Xie J and Zou J 2002 An improved model function method for choosing regularization parameters in linear inverse problems Inverse Problems 18 631-43 (Pubitemid 34720662)