LMAC

Membres

Annuaire des membres du Laboratoire de Mathématiques Appliquées de Compiègne(LMAC)

Diffusion problems in multi-layer media with nonlinear interface contact resistance. Communications in Mathematical Sciences, CMS, 16 : 1849 – 1867, 2018 (co-authored with F. Jelassi, M. Mint Brahim).
Finite Element Methods for the Temperature in Composite Media with Contact Resistance. Journal of Scientific Computing, JSC, 63:478–501, 2015. (co-authored with C. Bernardi, F. Jelassi, M. Mint Brahim).

Recursive POD expansion for reaction-diffusion equation., . Adv. Model. and Simul. in Eng. Sci. (2016) 3:3 DOI 10.1186/s40323-016-0060-1 (co-authored with M. Azaiez, T. Chacon Rebollo).
Error Bounds for POD expansions of parameterized transient temperatures. CMAME, Computer Methods in Applied Mechanics and Engineering, 305, pp 501-511, 2016 (co-authored with M. Azaiez, T. Chacon Rebollo).
Karhunen-Loève’s Truncation Error for Bivariate Functions. CMAME, Computer Methods in Applied Mechanics and Engineering, 290, pp 57-72, 2015. (co-authored with M. Azaiez).
Mercer’s Spectral Decomposition for the Characterization of Thermal Parameters. JCP, Journal of Computational Physics, 294, pp 1–19, 2015.

Data Recovery from Cauchy Measurements in Transient Heat Transfer J. Math. Study, 55, pp. 38-53., 2022 (co-authored with T. Baranger Nouri ) [https://global-sci.org/intro/article_detail/jms/20192.html].
A Finite Element Method for the Inverse Problem of Boundary Data Recovery in an Oxygen-Balance Model. Journal of Inverse and Ill-posed Problems (JIIP) , 24, pp 499-514, 2016 (co-authored with N. Débit, H. El Fekih and S. Khiari).
An ill-posed parabolic evolution system for dispersive deoxygenation-reaeration in waters. Inverse Problems, 30 015002 2014. (co-authored with M. Azaiez, F. Hecht and C. LeBot)
Identifiability for the pointwise source detection in Fisher’s reaction-diffusion equation. Inverse Problems, 28 065015, 2012.
Uniqueness for an ill-posed reaction-dispersion model. Application to organic pollution in stream-waters (One-dimensional model) Inverse Problems and Imaging 6-2, 163 - 181, 2012.
Uniqueness in a Cauchy Problem for Reaction-Diffusion System and Inverse Source Problems in Water Pollution. (Multi-dimensional model). Mathematical Models and Methods in Applied Sciences, 22-10, 1250029 (25 pages), 2012
Uniqueness for an ill-posed parabolic system [Unicité pour un système parabolique mal-posé]. Comptes Rendus Mathématique, 349 (21-22), 1161-1165, 2011.
Identification of moving pointwise sources in an advection-dispersion-reaction equation.
Inverse Problems, 27 025007 2011 (co-authored with M. Andrle, A. EL Badia)

Full Discretization of Cauchy’s Problem by Lavrentiev-Finite Element Method (co-authered with V. Girault, F. Jelassi), SIAM Journal of Numerical Analysis, 60, pp 558-584, 2022 [https://epubs.siam.org/doi/abs/10.1137/21M1401310].
Analysis of Lavrentiev-finite element methods for data completion problems (co-authered with V. Girault, F. Jelassi), Numersiche Matematik, 139, pp 1-25, 2018.
Stabilized ﬁnite elements for a reaction-dispersion saddle-point problem with non-constant coefficients (co-authored with C. Bernardi, F. Hecht and S. Salmon) . SIAM J. NUMER. ANAL.Vol. 52, No. 5, pp. 2207–2226, 2014.
Local Convergence of the Lavrentiev Method for the Cauchy Problem via a Carleman Inequality. Journal of Scientific Computing, 53, 320-341, 2012. (co-authored with , T. D. Du, F. Jelassi)
A finite element model for the data completion problem : analysis and assessment. Inverse Problems in Science and Engineering , 19 (8), 1063-1086, 2011. (co-authored with M. Azaiez, T. D. Du, F. Jelassi)
Extended-domain-Lavrentiev’s regularization for the Cauchy problem. Inverse Problems, 27 , 045005, 2011. (co-authored with T. D. Du, F. Jelassi)
The density function reconstruction of surface sources from a single Cauchy measurement. Computers and Fluids, 43, 14-22, 2011. (co-authored with M Azaiez and F. Jelassi)
Identifiability of surface sources from Cauchy data Inverse Problems, 25 , 075007, 2009. (co-authored with F. Jelassi)

Ill-Posedness of Inverse Diffusion Problems by Jacobi’s Theta Transform. J. Math. Study, 51, No. 4, pp. 115-130, 2020 (co-authored with K. Djalil, V. Robin) [https://global-sci.org/intro/article_detail/jms/12458.html]
Cauchy Matrices in the Observationof Diffusion Equations. J. Math. Study, 48, No. 4, pp. 330-344, 2015 (co-authored with S. M. Kaber) [www.global-sci.org/jms/freedownload/v48n4/pdf/484-330.pdf]
Ill-Conditioning versus Ill-Posedness for the Boundary Controllability of the Heat Equation Journal of Inverse and Ill-Posed Problems (JIIP), 23, pp 309-322, 2015 (co-authored with S. M. Kaber)
On the Dirichlet boundary controllability of the one-dimensional heat equation : semi-analytical calculations and ill-posedness degree Inverse Problems , 27 (5), 055012, 2011. (co-authored with S. M. Kaber)
Dirichlet boundary control for a parabolic equation with a final observation I : A space–time mixed formulation and penalization Asymptotic Analysis 71, 101-121, 2011 (co-authored by C. Bernardi, H. El Fekih)
Boundary stabilizability of the linearized viscous Saint-Venant system”, DCDS-B, 15, 491 - 511, 2011 (co-authored by H. Arfaoui, H. El Fekih, J.-P. Raymond)