Home Page of Surya Mohan Prerapa
I received bachelor and masters degree in mathematics and computing from the Indian Institute of Technology, Kharagpur in 2003. After working for about three years, I pursued doctoral studies from the School of Engineering Sciences at the University of Southampton. Here, I have worked on numerical schemes for stochastic partial differential equations for the doctoral dissertation and the degree has been awarded in May 2009.
My research interests lie in three main areas:
(1) computational modelling of deterministic and stochastic systems governed by partial differential equations, (2) optical tomography, and (3) high performance computing. I would like to establish a firm foothold in biophysical and biomedical modelling.
I work with the Optical Tomography group which is based at Department of Computer Science, UCL. It is headed by Prof. Simon Arridge who is the pioneer of this area of research. Other group members include Dr. Martin Schweiger, Dr. Vadim Soloviev, Dr. Athanasios Zacharopoulos, Dr. Marta Betcke, Dr. Juha Heiskala, Dr. Teresa Correia and Josias Elisee. Dr. Tanja Tarvainen, based in the University of Eastern Finland is my international collaborator.
Ongoing work in this area is focusing on mathematical models and numerical methods for light propagation in turbid media such as:
- finite element methods for solving the radiative transport equation.
- discontinuous Galerkin schemes for adaptive mesh refinement.
- fast numerical methods for near real-time imaging.
- P. Surya Mohan, V. Y. Soloviev and S. R. Arridge, ''Discontinuous Galerkin method for forward modeling in optical diffusion tomography", to appear in International Journal for Numerical Methods in Engineering .
V. Y. Soloviev, J. McGinty, K.B. Tahir, R. Laine, D.W. Stuckey, P. Surya Mohan, J.V. Hajnal, A. Sardini, P.M.W French, S.R. Arridge, "Tomographic imaging of flourescence resonance energy transfer in highly light scattering media", Proceedings of the Biomedical Applications of Light Scattering IV, SPIE, San Francisco, California, USA, 2010, Vol. 7573, pp. 75730G-75730G-10.
The focus of the doctoral dissertation was as follows:
- Develop projection schemes for stochastic PDEs to tackle a wide range of uncertainties arising in computational modelling.
- Improve the accuracy of projection schemes by employing h-refinement strategy.
- Tackle stochastic nonlinear PDEs.
- Tackle boundary uncertainties.
- Apply to large scale real-life problems.
- P. Surya Mohan, P. B. Nair and A. J. Keane, ''Stochastic projection schemes for deterministic linear elliptic partial differential equations on random domains, '' to appear in International Journal for Numerical Methods in Engineering, 2010.
- P. Surya Mohan, P. B. Nair and A. J. Keane, ''Uncertainty in thermal analysis of gas turbine blades'', Proceedings of the 11th AIAA Non-deterministic Approaches Conference, AIAA Paper No. 2009-2262, Palm Springs, California, 2009.
- P. Surya Mohan, P. B. Nair and A. J. Keane, ''Inexact Picard iterative scheme
for steady-state nonlinear diffusion in random heterogeneous media,''
Physical Review E - Statistical, Nonlinear, and Soft Matter
Physics 79, 046706, 2009.
- P. Surya Mohan, P. B. Nair and A. J. Keane, ``Multi-element stochastic
reduced basis methods,'' Computer Methods in Applied Mechanics and Engineering, Vol. 197, No. 17-18, 2008, pp. 1495-1506.
- R. Bryan, P. Surya Mohan, A. Hopkins, M. Taylor, P. B. Nair, ''Statistical
modelling of the whole human femur incorporating geometric and material
properties, Medical Engineering and Physics, 2009,