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Reference : UMR6629-MARBES-001
Workplace : NANTES
Date of publication : Monday, December 03, 2018
Type of Contract : FTC Scientist
Contract Period : 12 months
Expected date of employment : 1 September 2019
Proportion of work : Full time
Remuneration : between 2555€ and 3544€ monthly gross salary depending on the candidate experience
Desired level of education : PhD
Experience required : Indifferent
The ANR project MoHyCon (Multiscale Models and Hybrid numerical methods for semiConductors), led by Marianne Bessemoulin-Chatard, is related to the analysis and simulation of numerical methods for multiscale models of semiconductors. The project will require both the theoretical study of considered numerical methods and their implementation.
The selected candidate will be integrated in the team SPAN (statistics, probability and numerical analysis) of the Laboratoire de Mathématiques Jean Leray in Nantes (France).
The first task is dedicated to the analysis of numerical schemes for energy transport model. This is a macroscopic model for semiconductors, describing the evolution of the density of electrons and the temperature (see for example Markowich 1990). The main difficulty when discretizing this model comes from the Joule heating term involving the scalar product of two gradients. Different approaches will be considered and a particular attention will be paid to the convergence analysis of the developed methods.
The second task is devoted to the construction of numerical schemes for the linear Boltzmann equation for semiconductors. The aim is to design asymptotic preserving methods which comply with the diffusion limit and to prove this property rigorously.
We are seeking a dynamic PhD graduate in numerical analysis and scientific computing for PDEs. The project requires both theoretical expertise (numerical analysis for PDEs) and computing skills (C/C++, Fortran, Python, or Matlab for instance).
The Laboratoire de Mathématiques Jean Leray (LMJL) is a joint unit of Nantes University and the French National Center for Scientific Research (CNRS), in partnership with Ecole Centrale de Nantes. It is composed of 4 teams and brought together around 100 people.
The selected candidate will be involved in the research projects of researchers in numerical analysis.
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