Comparison of sensitivity equation and adjoint equation methods for parameter identification problems

International Journal for Numerical Methods in Engineering

Volumn 40, Issue 6, 1997, Pages 1015-1024

  Anju, Akira ^a   Kawahara, Mutsuto ^a  

^a CHUO UNIVERSITY   (Japan)

Author keywords

Adjoint equation; Finite element method; Parameter identification; Sensitivity equation; Thermal conduction

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIATION (CALCULUS); FINITE ELEMENT METHOD; FUNCTIONS; INVERSE PROBLEMS; LAGRANGE MULTIPLIERS; OPTIMIZATION; PROBLEM SOLVING; SENSITIVITY ANALYSIS; TEMPERATURE MEASUREMENT; THERMAL CONDUCTIVITY; VARIATIONAL TECHNIQUES;

ADJOINT EQUATION; SENSITIVITY EQUATIONS; UNDERGROUND THERMAL MODELS;

PARAMETER ESTIMATION;

EID: 0031100855     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19970330)40:6<1015::AID-NME101>3.0.CO;2-W     Document Type: Article

References (6)

1. S. P. Neuman, 'A statistical approach to the inverse problem of aquifer hydrology, 3, Improved solution method and added perspective,' Water Resources Res., 16, 331-346 (1980).
2. W. W.-G. Yeh, 'Review of parameter identification procedures in groundwater hydrology: the inverse problem,' Water Resources Res., 22, 95-108 (1986).
3. Y. Sano, A. Anju and M. Kawahara, 'Parameter identification for unsteady heat conduction problem,' in Computational Methods in Water Resources X, Heidelberg, 1994, 801-806.
4. S. Suzuki, A. Anju and M. Kawahara, 'Parameter identification and optimal control of underground temperature,' in Computational Methods in Water Resources X, Heidelberg, 1994, pp.807-814.
5. Y. Sano, M. Kawahara and A. Anju, "A couple of parameters identification for unsteady heat conduction problem,' in Pahl and Werner (eds), Computing in Civil and Building Engineering, 1995, pp.1255-1260.
6. M. Kawahara, K. Sasaki and Y. Sano, 'Parameter identification and optimal control of ground temperature,' in Special issue of 8th International Conference on Finite Element Methods in Fluids, September 1993, to be published.