Toufic El Arwadi - Beirut Arab University

Toufic El Arwadi
Born 22/11/1982 at Bologna,Italy
Nationality : Lebanese
Curent position : Assistant Professor
FORMATION
Curriculum Vitae
Address
Department of Mathematics, Faculty of Science,
Beirut Arab University,
P.O. Box : 11-5020, Beirut, Lebanon
E-mail : telarwadi@gmail.com
2006 - 2010 PHD in applied mathematics
Title : New approach of D-bar methods for inverse conductivity problem
Directors : Hassan Emamirad, Serge Huberson
Laboratory : Mathematics laboratory of Poitiers University , France
Degree : with highest honours
Referees : Habib Ammari and Marc Dambrine
2005 - 2006 Master 2 in mathematics, Paul Verlaine University, Metz, France
2003 - 2004 Master 1 in mathematics, Saint-Joseph university, Beirut, Lebanon
2002 - 2003 Bachelor of mathematics, Saint Joseph University, Beirut, Lebanon

Scientific computer computations
Languages : Fortran 77 90, C, C++
others : Scilab, Freefem++, L ATEX, Gnuplot, MS office
Languages
Arabic : Basic language. French : Very good. English : very good. Italian :
Beginner
Teaching
2009 Poitiers University, Exercices in linear algebra. (L1)
2010 Paris 13 University, Exercices in linear algebra (L1)
2010 Paris 13 University , Exercices in probability (L2)
2011 Université Aix-Marseille III , Exercices in Calculus (L1)
2011 Université Aix-Marseille III , Exercices in Numerical series (L2)
2011-2012 Beirut Arab university, Set theory, probability , statistics, numerical analysis,
linear algebra, discrete math, mathematical analysis
Research domains.
• D-bar methods ( Nachman,Brown-Uhlmann,Astala-Paivärintä) and numerical
studies for inverse conductivity problem
• D-bar method for convection inverse problem
• Numerical methods for integral equations (Vainikko Methods)
• Shape optimization and relation to inverse problems.
• Schauder and Krasnoselskii fix point theory with applications
Publications
• T. El Arwadi Méthode De Dbar Pour La Résolution Du Problème De Conductivité,
Nouvelle Approche ( Europian University Edition)
• T. El Arwadi Error estimates for reconstructed conductivities via the D-bar
method. Numerical Functional Analysis and Optimization ,Vol. 33, Iss. 1,
2012 ,pp 21-38
• M.A. Cherif and T. El Arwadi . D-bar method for non smooth conductivities
(Submitted).
• M.A. Cherif and T. El Arwadi . Krasnoselskii type fix point theorem on Frêchet
spaces (Submitted)

In progress
• T. El Arwadi and M. Uesaka. Modified Brown-Uhlmann’s Dbar algorithm for
discontinuous conductivities.
• T. El Arwadi and M.A.Cherif Fixed-point scheme for solving the D-bar equation
Actual Reaseach projects
– Studying Tamasan dbar method for convection inverse problem.
– Studying Astala-Païvarintä method.
– Studying the relation between Dbar method and shape optimisation.
– Studying regularisation strategy for Brown-Ulmann method.
Conferences, workshops, reasearch trimester
02/2009 Contrôle et Problèmes Inverses pour les EDP : Aspects Théoriques
et Numériques, at CIRM, Luminy.
05/2009 Journées de Metz 2009 at LMAM, Metz.
09/2009 Workshop FreeFem++ at Henri Poincaré institute.
03/2010 Inverse Problems for Waves : Methods and Applications (Ecole Polytechnique, Palaise
05/2010 Journées de Metz 2010 at LMAM, Metz.
06/2010 Summer school on computational solution of inverse problems (Helsinki university )
06/2011 Trimester on Inverse Problems : Theoretical and Numerical Aspects of Inverse
Problems and Scattering Theory (Madrid)
07/2012 9th AIMS workshop (Orlando)
Collaborators
– A. Tamasan (UCF, Florida, USA)
– M. Sini (RICAM , Linz, Austria)
– M.A Cherif (Sfax university, Tunisia)
– M. Uesaka (Tokoyo university, Japan)
Oral communications
• 06/2008 Groupe de travail EDP au LMA-Poitiers Dbar method for inverse
conductivity problem
• 05/2008 Groupe de travail des doctorants (Poitiers) Dbar method for discontinuous
conductivities
• 06/2009 Journée picto-charentaise d’EDP (La Rochelle) New approach of
Dbar methods for inverse conductivity problem
• 10/2009 Séminaire thématique (Limoges) Complex analysis methods for
electrical impedance tomography

• 10/2009 Groupe de travail des doctorants au LMA-Poitiers Brown-Uhlmann
modified algorithm for Calderón inverse problem
• 01/2010 Séminaire d’Analyse Appliquée (Paris 13 university) New approach
of Dbar method for inverse Calderón problem
• 03/2010 Poster session at MMNS Workshop on Inverse Problems for Waves :
Methods and Applications (Ecole Polytechnique, Palaiseau ) D-bar methods
for Inverse conductivity problem
• 06/2010 Summer school on computational solution of inverse problems
(Helsinki university ) New approach of D-bar methods
• 09/2010 Basque Center of Applied mathematics (Bilbao ) New approach
of D-bar methods
• 01/2011 L.A.T.P (Marseille ) New approach of D-bar methods for non
smooth conductivities on EIT
• 05/2011 Trimester on Inverse problems (Madrid) New approach of D-bar
method for regular and less regular conductivities
• 07/2012 9th AIMS workshop (Orlando) New approach of D-bar method
Master memories
• 2006 Master 2 Level set method with topological preservations, and applications
in shape optimization under direction Dorin Bucur and Zakaria Belhachmi
• 2004 Master 1 Richard Feynman Path Integral and application in quantum
physics under direction Jacques Langlois
Others
– Referee for the journal Inverse problem and imaging