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Data completion problem for the advection-diffusion equation with aquifer point sources
Journal article   Peer reviewed

Data completion problem for the advection-diffusion equation with aquifer point sources

Anis Bel Hadj Hassin, Nejla T. Hariga and Faten Khayat
Mathematical methods in the applied sciences, Vol.44(2), pp.1651-1663
30/01/2021

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We consider the inverse problem of recovering the missing flux and concentration on some part of a boundary of an aquifer using overspecified measurements available on some accessible part. The aquifer is under the action of point-forces located inside the domain and governed by the advection-diffusion equation. The method used is based on a fictitious domain decomposition. Numerical tests are done attesting the performance of the identification process.

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