The Output Least Squares Identifiability of the Diffusion Coefficient from an $H1-Observation in a 2-D Elliptic Equation - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 2000

The Output Least Squares Identifiability of the Diffusion Coefficient from an $H1-Observation in a 2-D Elliptic Equation

Karl Kunisch
  • Function : Author

Abstract

Output least squares identifiability for the diffusion coefficient in an elliptic equation in dimension two is analyzed. This guarantees Lipschitz stability of the solution of the least squares formulation with respect to perturbations in the data independently of their attainability. The analysis takes into consideration the direction of the flow, and shows its influence on the parameter to be estimated. Identifiability is obtained at each scale of a multi-scale resolution of the unknown parameter.
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Dates and versions

inria-00072569 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00072569 , version 1

Cite

Guy Chavent, Karl Kunisch. The Output Least Squares Identifiability of the Diffusion Coefficient from an $H1-Observation in a 2-D Elliptic Equation. [Research Report] RR-4067, INRIA. 2000. ⟨inria-00072569⟩
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