A geometric theory forL 2-stability of the inverse problem in a one-dimensional elliptic equation from anH 1-observation
Chavent, Guy; Kunisch, Karl (1993), A geometric theory forL 2-stability of the inverse problem in a one-dimensional elliptic equation from anH 1-observation, Applied Mathematics and Optimization, 27, 3, p. 231-260. http://dx.doi.org/10.1007/BF01314817
TypeArticle accepté pour publication ou publié
Journal nameApplied Mathematics and Optimization
MetadataShow full item record
Abstract (EN)This study provides a stability theory for the nonlinear least-squares formulation of estimating the diffusion coefficient in a two-point boundary-value problem from an error-corrupted observation of the state variable. It is based on analysing the projection of the observation on the nonconvex attainable set.
Subjects / KeywordsParameter estimation; Nonlinear least squares; Stability analysis; Elliptic boundary-value problems
Showing items related by title and author.
About the stability of the inverse problem in 1-D wave equations—application to the interpretation of seismic profiles Bamberger, A.; Chavent, Guy; Lailly, P. (1979) Article accepté pour publication ou publié
Optimal filtration for the approximation of boundary controls for the one-dimensional wave equation using a finite-difference method Lissy, Pierre; Roventa, Ionel (2019) Article accepté pour publication ou publié