MS/PhD positions, UT Knoxville, statistical composite homogenization & Radiative Transfer Equation

I have a few positions (funded by AFRL, ARO, etc) for MS or PhD (preferred) students at the University of Tennessee Space Institute (UTSI) and University of Tennessee Knoxville (UTK). The positions should start in January 2022 or at the latest Fall 2022. One of the positions requires US citizenship. The projects are in the following general areas:

1. Multiscale stochastic homogenization of materials using statistical volume element (SVE) concept. The application materials are 3D-printed ceramic and other composite materials for hypersonic and high strain rate loading protection.

2. Radiative Transfer Equation (RTE) of radiative heat and electromagnetic wave propagation: Adaptive and parallel space-angle Discontinuous Galerkin formulations for the RTE.

The interested applicants should have a strong background in some or ideally all the following areas:

 A) Mathematics, specifically partial differential equations (PDEs).

 B) Numerical methods (e.g. finite element and discontinuous Galerkin methods)

 C) Programming (Matlab, etc., and ideally C++)

 D) Elastodynamics or experience with any other transient PDE (mainly for topic 1)

 E) Fracture Mechanics (topic 1)

 F) Parallel computing (topic 2)

 G) h-, p-, or hp-adaptive methods (topic 2)

Please send me an email at rabedi@utk.edu with the following information:

- Topic you are interested in (1 or 2 above)

- The earliest you can start your studies with the program you are interested in (MS vs. PhD)

- Your CV or resume

- Ideally a short explanation why you are a good fit for this position, particularly addressing your experience on items A to G above (no more than 2 lines for each one, A-E for topic 1 and A-C, F, G for topic 2).

I will not immediately respond to your email and will contact the students who best fit these positions.

Thanks