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 |
variational multiscale methods based Turbulence modelling for fluid flows. |
Higher order discontinuous Galerkin schemes for hyperbolic PDE's |
Scientific Machine Learning |
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ML based stabilisation schemes for Singularly perturbed PDE's |
Physics Informed Neural Networks for Fluid flows |
Reduced order modelling for fluid flows |
Digital Shadowing using ROM and PINNs for realtime flow prediction |
High Performance Computing: |
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ParMooN, an open-source finite element software development |
GPU-Accelerated Algebraic Multigrid solvers |
Computational Fluid Dynamics: |
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fluid-structure interaction problems, ship hydrodynamics |
turbulent flows with moving/deforming solid bodies |
Bio-medical Applications: |
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computational models for particle deposition in human air pathway |
biophysical model of cancer invasion |