A finite element method for the inverse problem of boundary data recovery in an oxygen balance model

DOI10.1515/jiip-2014-0053zbMath1457.65082OpenAlexW2526326886MaRDI QIDQ327767

Faker Ben Belgacem, Henda El Fekih, Souad Khiari, Naïma Débit

Publication date: 19 October 2016

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2014-0053

zbMATH Keywords

mixed finite elementsdifferential algebraic equationsidentifiabilitydata completionWeierstrass-Kronecker decomposition

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Reaction effects in flows (76V05) Numerical methods for differential-algebraic equations (65L80) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Uses Software

• RODAS

Cites Work

• Differential-algebraic equations. A projector based analysis
• Uniqueness for an ill-posed reaction-dispersion model. Application to organic pollution in stream-waters
• Numerical solution of differential algebraic Riccati equations
• Semigroups of linear operators and applications to partial differential equations
• UNIQUENESS IN A CAUCHY PROBLEM FOR REACTION–DIFFUSION SYSTEM AND INVERSE SOURCE PROBLEMS IN WATER POLLUTION
• An ill-posed parabolic evolution system for dispersive deoxygenation–reaeration in water
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