Qualifikation:

Mathematik

            Habilitation/ Venia Legendi-Mathematik Universität des Saarlandes,

            Naturwissenschaftlich-Teschnische Fakultät I-Mathematik und Informatik                          

                        Promotion an der Universität des Saarlandes.

Thema der Doktor-Thesis: “Resolution of Inverse Scattering Problems for the full three-dimensional Maxwell-Equations in Inhomogeneous Media using the Approximate Inverse”

Doktorvater:  Prof. Dr. Dr. h. c. mult.  Louis

                        M. Sc. Mathematik für die Industrie, TU-Kaiserslautern

Thema der Master-Thesis: “Solution of conservation laws using exponentially fitted finite elements”, Betreuung: Prof. Dr. W. Dörfler

Sprachen:

             Arabisch, Deutsch, Englisch und Französisch

Forschungsinteressen:

Anwendungsorientiert

•       Elektromagnetische und Akustische Rückstreuprobleme
•       Bildgebende Verfahren in der Bio- und Medizintechnik und zerstörungsfreien Prüfung
•            Techno- und Finanzmathematik

     Methodenorientiert

•  Theorie und Numerik Inverser Probleme
•              Theorie und Numerik partieller differential und Integralgleichungen
•              (Nichtlineare) Optimierung

Highlighted Publikationen:

·         Selection in Inverse Problems Highlights of 2015 , ’KAIRUAIN-algorithmapplied  Approximate Inverse and Sobolev estimates for the attenuated RadonTransform, with G. Rigaud, Inverse Problems 31 (2015) 105010

·         Selection in Inverse Problems Highlights of 2013 , ’KAIRUAIN-algorithmapplied on electromagnetic imaging’, Inverse Problems 29 (2013) 095001.

·       Selection in Inverse Problems Highlights of 2010   ,  ’A decoupling-based imaging method for inverse medium scattering for Maxwell’s equations’, ’Inverse Problems’ 26 (2010), 015007 (17pp)

·        Selection in Inverse Problems Highlights of 20 08,  ’Locating radiating sources for Maxwell’s equations using the approximate inverse’, with A K Louis, Inverse Problems, 24 (2008/04), 045020 (18pp) .

Jüngste Publikationen:

    2016

•  A direct  method for nonlinear inverse problems, submitted
• Inverse Design of Anti-Reflection Coatings using the Nonlinear Approximate Inverse
  with M. Alakel Abazid,, A.K. LouisInverse Problems in Science and Engineering, Vol 24, Issue 6 (2016) 917-35

    2015

• Approximate inverse and Sobolev estimates for the attenuated Radon transformInverse Problems 31 (2015) 105010 , with G. Rigaud
  Paper Selected in "2015 Highlights for Inverse Problems"
• Image and feature reconstruction for the attenuated Radon transform via circular harmonic decomposition of the kernelInverse Problems 31 (2015) 025007, with G. Rigaud                                                                                                                                                                                                                                                                                                                                                   2014

• Series Expansions of the Reconstruction Kernel of the Radon Transform over a Cormack-Type Family of Curves with Applications in Tomography.                                                                                                                                SIAM Journal on Imaging Sciences, 7(2), 924–943., with G. Rigaud and A K Louis.                                                 
• A Stable Numerical Algorithm for the Design of Anti-Reflection Coatings for Solar Cells the International Journal of Renewable Energy Technology, with M Alakel-Abazid and  A K Louis 7, 97-111, 2016

    2013

• K AIRUAIN-algorithm applied on electromagnetic imaging,                                                                              Inverse Problems 29 (2013) 095001,                                                                                                                                                Paper Selected in "2013 Highlights for Inverse Problems"                                                                                                                          
• Non-Destructive Testing of Anti-Reflection Coatings for Solar Cells
  with M. Alakel Abazid and A. K. LouisProceedings of the European Workshop on Renewable Energy Systems (EWRES), 2013

Weitere Publikationen:

Laufende Projekte

      Veranstaltungen