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Conference papers

A posteriori error estimation for the estimation of parameters in a porous media

Abstract : We identify simultaneously storage and hydraulic transmissivity coefficients in groundwater flow governed by a linear parabolic equation. Both parameters are assumed to be functions piecewise constant in space. The unknowns are the coefficient values as well as the geometry of the zones where these coefficients are constant. This problem is formulated as minimizing a least-square function calculating the difference between measurements and the corresponding quantities computed with the current parameters values. The main point of this work is to construct an adap-tative parameterization technique guided by refinement indicators. Using refinement indicators, we build the parameterization iteratively, going from a one zone parametrization to a parametrization with m zones where m is an optimal value to identify. We distinguish the cases where the two parameters have the same parameterization and different parameterizations.
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Contributor : Mohamed Hedi Riahi Connect in order to contact the contributor
Submitted on : Monday, August 31, 2020 - 3:56:00 PM
Last modification on : Friday, December 10, 2021 - 3:20:03 PM
Long-term archiving on: : Tuesday, December 1, 2020 - 12:47:57 PM


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  • HAL Id : hal-02926320, version 1



Ben Ameur, Nizar Karrat, Mohamed Hedi Riahi. A posteriori error estimation for the estimation of parameters in a porous media. CARI 2020 - Colloque Africain sur la Recherche en Informatique et en Mathématiques Appliquées, Oct 2020, Thiès, Sénégal. ⟨hal-02926320⟩



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