Prof. Dr. Armin Lechleiter

In 2011, Armin Lechleiter arrived in Bremen and started to built up the working group Inverse Problems at ZeTeM. He passed away on January 28, 2018. His colleagues at ZeTeM mourn for this wise, always helpful, and brave friend.

An obituary

CV

2001-2003

Undergraduate studies in Mathematics at Universität Karlsruhe

2003-2004

Bachelor (Licence) in Mathematics at ENS Lyon (France)

2004-2006

Diploma in Mathematics at Universität Karlsruhe

2006-2008

Graduate studies (with A. Kirsch) at KIT

2008-2009

PostDoc (DeFI, INRIA Saclay & Ecole Polytechnique, France)

2009-2011

Researcher (DeFI, INRIA Saclay & Ecole Polytechnique, France)

2011-2013

Assistant professor (W1) at ZeTeM (Universität Bremen)

2013-

Professor (W2) at ZeTeM (Universität Bremen)

Misc

• 2004: German-French University Award (Universität Karlsruhe)
• 2009: 2nd Prize at the Leslie Fox Prize Competition

Research Areas

• Inverse problems
• Partial differential equations
• Scattering theory
• Identification of Parameters

Leader of Projects

1. Regularization techniques in Banach spaces applied to inverse Problems (16.07.2014 - 16.10.2017)
2. Inside-Outside Duality and Non-Destructive Testing (01.07.2013 - 30.06.2016)
3. Efficient Simulation of Acoustic Underwater Waves (01.11.2012 - 31.10.2015)
4. Inverse Scattering in the Time Domain (01.01.2011 - 31.12.2013)
5. Electromagnetic Inverse Scattering from Periodic Structures (01.10.2009 - 31.10.2014)

Courses (Selection)complete list

1. Numerik 2 (Sommersemester 2017)
2. Parameteridentifikation und PDEs (Sommersemester 2017)
3. Wie schreibt man Mathematik auf? (Wintersemester 2016/2017)
4. Numerik 1 (Wintersemester 2016/2017)
5. Introduction to Mathematical Parameter Identification (Wintersemester 2016/2017)

Theses (Selection)complete list

1. Identifikation eines zeitabhängigen Parameters einer Wellengleichung (Thies Gerken)
2. Akustische Streuprobleme auf einem biperiodischen Gebiet im R³ mit einer lokalen Störung (Alexander Konschin)
3. Bestimmung geometrischer Parameter von Glasfasern aus Streulichtmustern (Vitali Gerlinski)
4. Direkte und inverse Probleme für die Stokes-Gleichung (Dennis Zvegincev)
5. Detektion kleiner Inklusionen durch Strom-Spannungs-Messungen (Matthias Otten)

Publications (Selection)complete list

1. F. Bürgel, K. Kazimierski, A. Lechleiter.
   IPscatt—A MATLAB Toolbox for the Inverse Medium Problem in Scattering.
   ACM Transactions on Mathematical Software, 45(4), 45:1–45:20, 2019.

   DOI: 10.1145/3328525

2. A. Konschin, A. Lechleiter.
   Reconstruction of a Local Perturbation in Inhomogeneous Periodic Layers from Partial Near Field Measurements.
   Inverse Problems, 35(11), 114006, IOPscience, 2019.

   DOI: 10.1088/1361-6420/ab1c66
   online at: https://iopscience.iop.org/article/10.1088/1361-6420/ab1c66

3. F. Cakoni, H. Haddar, A. Lechleiter.
   On the factorization method for a far field inverse scattering problem in the time domain.
   SIAM Journal on Mathematical Analysis, 51(2):854-872, 2019.

   DOI: 10.1137/18M1214809

4. A. Lechleiter, R. Zhang.
   Reconstruction of Local Perturbations in Periodic Surfaces.
   Inverse Problems, 035006 34(2018), IOPscience, 2018.

   DOI: doi.org/10.1088/1361-6420/aaa7b1

5. A. Kirsch, A. Lechleiter.
   A radiation condition arising from the limiting absorption principle for a closed full- or half-waveguide problem.
   Mathematical Methods in the Applied Sciences, 41(10):3955-3975, 2018.

   DOI: 10.1002/mma.4879