A new inverse analysis approach for multi-region heat conduction BEM using complex-variable-differentiation method

Engineering Analysis with Boundary Elements

Volumn 29, Issue 8, 2005, Pages 788-795

  Gao, Xiao Wei ^a,c   He, Man Chao ^b  

^a SOUTHEAST UNIVERSITY   (China)

^b CHINA UNIVERSITY OF MINING AND TECHNOLOGY   (China)

^c ZONA TECHNOLOGY INC   (United States)

Author keywords

Complex Variable Differentiation; Damage identification; Heat conduction; Inverse analysis; Multi region BEM; Sensitivity coefficients; Shape optimization

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIATION (CALCULUS); FINITE DIFFERENCE METHOD; INTEGRAL EQUATIONS; INVERSE PROBLEMS; OPTIMIZATION; PROBLEM SOLVING;

COMPLEX-VARIABLE-DIFFERENTIATION; DAMAGE IDENTIFICATION; INVERSE ANALYSIS; MULTI-REGION BEM; SHAPE OPTIMIZATION;

BOUNDARY ELEMENT METHOD;

EID: 22544431645     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2005.03.001     Document Type: Article

References (41)

1. S.W. Doebing, C.R. Farrar, and M.B. Prime A summary review of vibration-based damage identification methods Shock Vib Dig 30 2 1998 91 105
2. R. Aithal, and S. Saigal Shape sensitivity analysis in thermal problems using BEM Eng Anal Bound Elem 15 1995 115 120
3. A.J. Kassab, E. Divo, and M. Chyu A BEM-based inverse algorithm to retrieve multi-dimensional heat transfer coefficients from transient temperature measurements C.S. Chen C.A. Brebbia D. Pepper BETECH99, Proceedings of the 13th international boundary element technology conference, Las Vegas, June 8-10 1999 Computational Mechanics Billerica 65 74
4. Y.R. Zheng, and X.W. Gao Elastoplastic BEM applied to back analysis Journal of Underground Technology 18 2 1986 58 67
5. C.A. Brebbia, and J. Dominguez Boundary elements: an introductory course 2nd ed 1992 Computational Mechanics Publications Boston
6. X.W. Gao, and T.G. Davies Boundary element programming in mechanics 2002 Cambridge University Press Cambridge ISBN: 0521773598
7. E.A. Divo, and A.J. Kassab Boundary element methods for heat conduction: with applications in non-homogeneous media 2003 WIT Press Southampton
8. X.W. Gao, J. Liu, and Y.R. Zheng On treatment of measured displacement and back analysis in underground excavation Tunnel Underground Eng 14 1 1991 23 29
9. Zhang DC, Gao XW, Zheng YR. Back analysis method of elastoplastic BEM in strain space. Proc. of Int. Conf. on Numerical Method in Geomechanics, G. Swoboda (ed), INNSBRUCK; 1988. p. 981-986.
10. K. Kurpisz, and A.J. Nowak BEM approach to inverse heat conduction problems Eng Anal 10 1992 291 297
11. R.A. Bialecki, E. Divo, and A.J. Kassab Explicit calculation of smoothed sensitivity coefficients for linear problems Int J Numer Methods Eng 57 2003 143 167
12. R. Pasquetti, and C. Le Niliot Direct and inverse potential problems by BEM C.A. Brebbia A. Chaudouet-Miranda Proceedings of the international boundary element symposium, Nice, France, 15-17 May 1990 Computational Mechanics Publications Billerica
13. D. Maillet, A. Degiovanni, and R. Pasquetti Inverse heat conduction applied to the measurements of heat transfer coefficient on a cylinder: comparison between an analytical and a boundary element technique ASME J Heat Transfer 113 1991 549 557
14. M.S. Farid, and C.K. Hsieh Measurement of the free convection heat transfer coefficient for a rough horizontal nonisothermal cylinder in ambient air by infrared scanning ASME J Heat Transfer 114 1992 1054 1056
15. A.K. Mitra, and S. Das Solution of inverse problems by using the boundary element method C.A. Brebbia M.S. Ingber Boundary element technology VII 1992 Elsevier Amsterdam 721 731
16. A.J. Kassab, and J. Pollard Automated cubic spline anchored grid pattern algorithm for the high resolution detection of subsurface cavities by the IR-CAT method Numer Heat Transfer, Part B: Fundam 26 1 1994 63 78
17. A.J. Kassab, C.K. Hsieh, and J. Pollard Solution of the inverse geometric problem for the detection of subsurface cavities by the IR CAT Method L.C. Worbel D.B. Ingham Boundary integral formulations in inverse analysis 1997 Computational Mechanics Boston 33 65 [chapter 2]
18. T.W. Ulrich, F.A. Moslehy, and A.J. Kassab A BEM based pattern search method for the solution of the inverse elastostatics problem Int J Solids Struct 33 15 1996 2123 2131
19. E.A. Divo, A.J. Kassab, and M.S. Ingber Shape optimization of acoustic scattering bodies Eng Anal Bound Elem 27 2003 695 703
20. R. Galego, and G. Rus Identification of cracks and cavities using the topological sensitivity boundary integral equation Comput Mech 33 2004 154 163
21. T. Burczynski Boundary element method in stochastic shape design sensitivity analysis and identification of uncertain elastic solids Eng Anal Bound Elem 15 1995 151 160
22. M. Bonnet BIE and material differentiation applied to the formulation of obstacle inverse problems Eng Anal Bound Elem 15 1995 121 136
23. Lewis RM. Numerical computation of sensitivities and the adjoint approach, Technical report No. 97-61. ICASE, NASSA Langley Research Center, Hampton, Virginia, USA; 1997.
24. M.R. Barone, and R.J. Yang A boundary element approach for recovery of shape sensitivities in three-dimensional elastic solids Comput Methods Appl Mech Eng 74 1989 69 82
25. Q. Zhang, and S. Mukherjee Second-order design sensitivity analysis for linear elastic problems by the derivative boundary element method Comput Methods Appl Mech Eng 86 1991 321 335
26. T.J. Martin, and G.S. Dulikravich An implicit and explicit BEM sensitivity approach for thermo-structural optimization Eng Anal Bound Elem 28 2004 257 265
27. C.O.E. Burg, and J.C. Newman III Computationally efficient, numerically exact design space derivatives via the complex Taylor's series expansion method Comput Fluids 32 2003 373 383
28. W. Squire, and G. Trapp Using complex variables to estimate derivatives of real functions SIAM Rev 40 1 1998 110 112
29. W.K. Anderson, J.C. Newman, D.L. Whitfield, and E.J. Nielsen Sensitivity analysis for the Navier-Stokes equations on unstructured meshes using complex variables AIAA-99-3294 1999
30. F.V. Keulen, R.T. Haftka, and X.Y. Qu Review of options for structural sensitivity calculations AIAA-00-1351 2000
31. J.N. Lyness, and C.B. Moler Numerical differentiation of analytic functions SIAM J Numer Anal 4 1967 202 210
32. Martins JRRA. A coupled-ajoint method for high fidelity aero-structural optimization. PhD Thesis. Stanford California; 2002.
33. J.R.R.A. Martins, I.M. Kroo, and J.J. Alonso An automated method for sensitivity analysis using complex variables AIAA Paper, 2000-0689 2000
34. X.W. Gao, D.D. Liu, and P.C. Chen Internal stresses in inelastic BEM using complex-variable differentiation Comput Mech 28 2002 40 46
35. C.A. Brebbia, J.C.F. Telles, and L. Wrobel Boundary element techniques in engineering: theory and application in engineering 1985 Springer New York
36. P.K. Banerjee Boundary element method 1992 McGraw-Hill New York
37. J.H. Kane Boundary element analysis in engineering continuum mechanics 1994 Prentice-Hall Englewood Cliffs, NJ
38. X.W. Gao, and T.G. Davies 3D multi-region BEM with corners and edges Int J Solids Struct 37 2000 1549 1560
39. R.A. Bialecki, M. Merkel, H. Mews, and G. Kuhn In- and out-of-core BEM equation solver with parallel and nonlinear options Int J Numer Methods Eng 39 1996 4215 4242
40. R.H. Rigby, and M.H. Aliabadi Out-of-core solver for large, multizone boundary element matrices Int J Numer Methods Eng 38 1995 1507 1553
41. T.W. Wu Boundary element acoustics: fundamentals and computer codes 2000 WIT Press Southampton