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Data completion problem for the advection‐diffusion equation with aquifer point sources
Author(s) -
Bel Hadj Hassin Anis,
Hariga Nejla T.,
Khayat Faten
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6868
Subject(s) - advection , mathematics , aquifer , convection–diffusion equation , inverse problem , domain (mathematical analysis) , diffusion equation , flux (metallurgy) , diffusion , boundary (topology) , diffusion process , domain decomposition methods , mathematical analysis , groundwater , geotechnical engineering , geology , finite element method , computer science , thermodynamics , physics , knowledge management , materials science , economy , service (business) , innovation diffusion , metallurgy , economics
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.