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2 PhD Positions in Mathematics at RICAM, Linz

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2 PhD Positions in Mathematics at RICAM, Linz

Abstract

Two PhD positions are open in the group "Inverse Problems", at Johann Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria. These positions are part of the Austrian Science Fund (FWF) project:[P22341-N18] "Electromagnetic Scattering by complex interfaces", led by Dr. M. Sini. The starting date is estimated for September 1st 2010 or as soon as possible but not later than January 1st 2011. The positions are limited to three years. The research is funded according to the FWF salary guidelines. The starting gross income (approx. 1851.00 Euros) includes social security (pension), health care coverage, and unemployment benefits. Some additional funds will also be available for research purposes (conference participation, research visits abroad, etc.). The working language is English.

Requirements
For both the positions a Master`s degree in fields related to the mathematical analysis of partial differential equations is required and an advanced knowledge in computational mathematics (as boundary finite elements) is highly appreciated.



Application material to be sent to mourad.sini@oeaw.ac.at
  1. A detailled CV, describing yourself, your research interests, achievements etc.
  2. The scanned images of the Master`s degree certi¯cat as well as the academic transcripts.
  3. Two letters of recommendation (one of them from your Master thesis advisor).

An abstract of the project
Scattering or boundary value problems for complex interfaces have at least two di®erent origins:
  1. They are approximate models for penetrable obstacles where the material of the interior part of the obstacle is so highly reflecting and does allow only week absorbtion. Hence the transmission conditions across the interface of the obstacle are replaced by surface impedance type boundary conditions.
  2. Artificial materials, distributed along the surface of the obstacle, are used to produce more (or less) scattering by the obstacle. These artificial materials are modeled by coefficients appearing in the `modified` transmission conditions.

A complex interface is characterized by its location, its geometry and the material distributed in/on it. We are interested in studying the inverse problems associated to these two situations for some models described by the Maxwell systems. We divide our study into two interdependent parts:
  • Inverse problems, In this case, we are given exterior measurements (boundary or scattering measurements) and we want to reconstruct the unknown complex interface.
  • Design problems. In this case, we know the (shape of the) obstacle and we want to design it in such a way to be more (or less, if needed) visible from exterior measurements. We are interested by designs using surface or body coatings.

More details can be found at http://www.ricam.oeaw.ac.at/people/page/sini/

website link:
http://www.ricam.oeaw.ac.at/people/page/sini/FWF-Project-Abstract.pdf

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