Qualification:

Mathematics

                        Habilitation/ Venia Legendi- Mathematik , Saarland University.

 

                       PhD (Dr. rer. nat ) , Saarland University.

Doctor-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. Mathematics for Industrie, TU-Kaiserslautern

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

Languages:

             Arabic, English, French and German

Research interests:

Problem oriented

•       Inverse electromagnetic and acoustic scattering
•       Bio-Medical Imaging and Non Destructive Testing
•           Financial Mathematics
•      Mathematical Modeling and Industrial Mathematics

     Method oriented

•  Theory and numerics of inverse problems
•             Theory and numerics of partial-differential und ntegral equations
•             (Nonlinear) Optimization

Highlighted publications:               

• 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) .

Recent publications:

 

    2016

•  A direct  method for nonlinear inverse problems, submitted
• Inverse Design of Anti-Reflection Coatings using the Nonlinear Approximate InverseM. Alakel Abazid, A. Lakhal, 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 transformApproximate 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

Further publications

Current projects

Teaching:

         Up-dates:

 Presentation for Habilitation held on Feb 10,2015.

·         Sommersemester 2015: Vorlesung  „Parameter Identification“

                   Previous lectures