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

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 8, page 423-440
- ISSN: 1292-8119

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topChavent, Guy, and Kunisch, Karl. "The Output Least Squares Identifiability of the Diffusion Coefficient from an H1–Observation in a 2–D Elliptic Equation." ESAIM: Control, Optimisation and Calculus of Variations 8 (2010): 423-440. <http://eudml.org/doc/90655>.

@article{Chavent2010,

abstract = {
Output least squares stability 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 shows the influence of the flow direction on the parameter to be estimated.
A scale analysis for multi-scale resolution of the unknown parameter is provided.
},

author = {Chavent, Guy, Kunisch, Karl},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Parameter estimation; diffusion coefficient; inverse
problem; identifiability; least squares.; parameter estimation; inverse problem; least squares},

language = {eng},

month = {3},

pages = {423-440},

publisher = {EDP Sciences},

title = {The Output Least Squares Identifiability of the Diffusion Coefficient from an H1–Observation in a 2–D Elliptic Equation},

url = {http://eudml.org/doc/90655},

volume = {8},

year = {2010},

}

TY - JOUR

AU - Chavent, Guy

AU - Kunisch, Karl

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

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 8

SP - 423

EP - 440

AB -
Output least squares stability 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 shows the influence of the flow direction on the parameter to be estimated.
A scale analysis for multi-scale resolution of the unknown parameter is provided.

LA - eng

KW - Parameter estimation; diffusion coefficient; inverse
problem; identifiability; least squares.; parameter estimation; inverse problem; least squares

UR - http://eudml.org/doc/90655

ER -

## References

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