s.muralikrishnan@fz-juelich.de
I am a research staff at the Department of Mathematics and Education at the Jülich Supercomputing Centre in Germany . I enjoy understanding and developing numerical methods/algorithms for complex multi-physics problems. My research in general focuses on developing, analyzing and high performance implementation of fast and accurate numerical solution techniques for complex physical applications in fluid dynamics, magnetohydrodynamics, atmospheric modeling, subsurface flows etc. In the recent years I have been doing research mostly in advanced numerical techniques for plasma physics. I am always open for collaborations and if you have some interesting idea to discuss please drop an email.
High Performance Scientific Computing
Numerical Analysis
High-order numerical methods
Spatial discretization : Finite Element Methods, Discontinuous Galerkin (DG), Hybridized DG (HDG), compact Finite Difference
Time integration : Explicit, Implicit, Implicit-Explicit (IMEX)
Preconditioners and Fast scalable solvers
Multigrid and Multilevel solvers
Domain decomposition solvers
Block preconditioners for multi-physics problems
Newton, Picard and IMEX nonlinear solvers
Particle-in-cell schemes and noise reduction strategies
Sparse grids
Deterministic and Bayesian inversion, optimization algorithms
Uncertainty quantification
Machine learning
Physical applications
Fluid dynamics, Plasma physics, Electromagnetics and Magnetohydrodynamics