Computational Mathematics Group (CMG) at the Department of Computational and Data Sciences is under the Division of Interdisciplinary Research at Indian Institute of Science Bangalore, India.

We develops accurate, efficient and robust parallel numerical (finite element) schemes for solving partial differential equations (PDEs) that model several physical and industrial processes.

Please visit our in-house finite element package ParMooN.


Finite Element Analysis:
finite element methods for the solution of PDEs and surface PDEs
multigrid methods, ALE approach for moving meshes
splitting methods for high-dimensional (>3) PDEs
stability, convergence analysis and error estimates
stabilization (SUPG, LPS) and variational multiscale methods
High Performance Computing:
ParMooN, an open-source finite element software development
efficient, robust, scalable finite element algorithms
OpenMP and MPI based hybrid parallel algorithms
parallel geometric multigrid solver
Computational Fluid Dynamics:
free surface and two-phase flows with surfactants and heat transfer
complex (viscoelastic) fluid flows
flows in reactors, fluid-structure interaction problems
flows with boundary and interior layers
flows with floating bodies, ship hydrodynamics
moving contact line problems, dynamics contact angles
population balance systems in crystallizers
turbulent flows with moving/deforming solid bodies
Bio-medical Applications:
computational models for eye
biophysical model of cancer invasion
flow through nasal cavities and respiratory tract
terahertz heating effects in realistic tissues