Asymptotic analysis of incompressible and viscous fluid flow through porous media. Brinkman's law via epi-convergence methods
Alain Brillard (1986-1987)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Alain Brillard (1986-1987)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Philippe Benilan, Haim Brezis, Michael G. Crandall (1975)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Pavel Krejčí (1986)
Czechoslovak Mathematical Journal
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Guy Chavent, Karl Kunisch (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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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.