Title :
Some links between 2D Laplace inverse problems and approximation in Hardy classes: constructive identification and stability properties
Author :
Chaabane, S. ; Jaoua, M. ; Leblond, J.
Author_Institution :
ENIT-LAMSIN, Tunis, Tunisia
Abstract :
We consider the inverse problem of identifying a Robin coefficient on some part of the boundary of a smooth 2D domain from overdetermined data available on the other part of the boundary, for Laplace equation in the domain. Using tools from complex analysis and analytic functions theory, we provide a constructive and convergent identification scheme, together with a stability result for this inverse problem
Keywords :
Laplace equations; approximation theory; convergence; identification; stability; 2D Laplace inverse problems; Hardy class approximation; Laplace equation; Robin coefficient; analytic functions theory; complex analysis; constructive identification; convergent identification; overdetermined data; smooth 2D domain; stability properties; Algorithm design and analysis; Boundary conditions; Corrosion; Ear; Impedance; Inverse problems; Laplace equations; Least squares approximation; Performance evaluation; Robust stability;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912159
