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

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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https://hal.inria.fr/inria-00072569
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Submitted on : Wednesday, May 24, 2006 - 10:18:25 AM
Last modification on : Friday, February 4, 2022 - 3:10:03 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:13:33 PM

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  • HAL Id : inria-00072569, version 1

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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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