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 |