| Finite Element Analysis: |
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| 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: |
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| 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: |
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| 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: |
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| computational models for eye |
| biophysical model of cancer invasion |
| flow through nasal cavities and respiratory tract |
| terahertz heating effects in realistic tissues |