In many aspects of computational simulation there is an element of uncertainty or randomness in problem parameters. This two-year postdoctoral position aims to consider uncertainties for electromagnetism problems. More specifically, a stochastic finite element type of approach would be developed in conjunction with computational electromagnetics. The methodology might involve formulation and solution of stochastic partial differential equations, random eigenvalue problems, random algebraic equation, and random matrices.

The applications in computational electromagnetics are wide ranging. In the low frequency range possible applications include Magnetic Resonance Imaging (MRI) and eddy current modelling of electrical devices and machines, while at high frequency electromagnetic scattering and the calculation of the radar cross section is of interest to the Aerospace industry.

An accurate high order finite element  methodology is currently employed to solve problems in electromagnetics. The post doctoral position will be aimed at extending this methodology to include stochastic material data. Initially, the focus would be on small two dimension model problems and once the approach been properly validated, it is envisaged that it will be applied to some three dimensional applications.

Essential skills

Experience with Numerical Methods
Experience with programming in one or more of MATLAB/Fortran/C/C++
Knowledge of probabilistic methods (possibly stochastic finite element method, random matrix theory)
Capable of independent study
Experience of writing journal/conference papers
Undergraduate, Masters and Doctoral degrees in either Applied Mathematics, Probabilistic methods, Computational Science and Engineering, or similar.

Desirable skills

Experience with programming and development of finite element methods
Experience in computational electromagnetics
Experience with programming and development of high order finite element methods.
Experience with numerical/computational linear algebra (linear equation solvers, eigenvalue solvers etc)
Experience in random matrix theory

Please contact Prof S Adhikari (email: S.Adhikari@swansea.ac.uk, Skype id: sondipon.adhikari) to discuss this position.