A boundary element method of inverse non-linear heat conduction analysis with point and line heat sources

Communications in Numerical Methods in Engineering

Volumn 16, Issue 3, 2000, Pages 191-203

  Karami, G ^a   Hematiyan, M R ^a  

^a SHIRAZ UNIVERSITY   (Iran)

Author keywords

Analytical integration; Boundary element; Heat conduction; Inverse; Line heat sources; Non linear

Indexed keywords

BOUNDARY ELEMENT METHOD; HEAT CONDUCTION;

EID: 0034010026     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-0887(200003)16:3<191::AID-CNM321>3.0.CO;2-N     Document Type: Article

References (14)

1. Martin TJ, Dulikravich GS. Inverse determination of boundary conditions and sources in steady heat conduction with heat generation. Transactions of ASME Journal of Heat Transfer 1996; 118:546-554.
2. Huang CH, Chen CW. Boundary-element-based inverse problem of estimating boundary conditions in an irregular domain with statistical analysis. Numerical Heat Transfer, Part B 1998; 33:251-268.
3. Pasquetti T, Le Niliot C. Boundary element approach for inverse heat conduction problems: application to bidimensional transient numerical experiment. Numerical Heat Transfer, Part B 1991; 20:169-189.
4. Lesnic D, Elliott L, Ingham DB. Application of the boundary element method to inverse heat conduction problems. International Journal of Heat Mass Transfer 1996; 39:1503-1517.
5. Kurpisz K, Nowak AJ. Boundary element approach to inverse heat conduction problems. Engineering Analysis and Boundary Elements 1992; 10:291-297.
6. Yang CY. Solving the two-dimensional inverse heat source problem through the linear least-squares error method. International Journal of Heat Mass Transfer 1998; 41:393-398.
7. Hills RG, Raynaud M, Hensel E. Surface variance estimates using an adjoint formulation for a one dimensional nonlinear inverse heat conduction technique. Numerical Heat Transfer 1986; 10:441-161.
8. Beck JV, Blackwell B, Clair CRST. Inverse Heat Conduction, III Posed Problems. Wiley Interscience: New York, 1985.
9. Tikhonov AN, Arsenin VY. Solution of Ill-Posed Problems. Winston and Sons: Washington, DC, 1977.
10. Alifanov OM. Inverse Heat Transfer Problems. Springer: New York, 1994.
11. Jarny Y, Ozisik MN, Bardon JP. A general optimization method using adjoint equation for solving multidimensional inverse heat conduction. International Journal of Heat Mass Transfer 1991; 34:2911-2919.
12. Ozisik MN. Heat Conduction. Wiley Interscience: New York, 1985.
13. Brebbia CA, Telles JCF, Wrobel LC. Boundary Element Techniques-Theory and Applications in Engineering. Springer: Berlin, 1984.
14. Haftka RT, Zafer G. Elements of Structural Optimization (3rd edn). Kluwer Academic Publishers: Dordrecht, 1992.