RESEARCH GALLERY

Research Themes

Development, analysis and implementation of numerical methods for PDEs

High order continuous/discontinuous finite element methods,
Isogeometric Analysis,
Space-time finite element , Space-time multipatch Isogeometric Analysis
Error estimation, singularities and their numerical treatment
Problems with low regularity solutions

Mathematical Modelling and computing for Engineering Problems

Construction analysis and development of of Mathematical Models for Engineering problems
Devising efficient, accurate numerical schemes and their scientific implementation for solving complex Fluid Dynamics problems ,
Numerical methods for Compressible and Incompressible fluid flow problems, non-Newtonian flows
Finite Element Methods for Contact Mechanics and Viscoplastic problems, Frictional Contact problems,

GALLERY

* FLUID DYNAMICS AND AEROACOUSTICS

Acoustic Pulse Scattering

Time - Harmonic Source

Compressible flow

past over a cylinder,

Compressible flow around a wing,

pressure contours and velocity vectors

Flows with Shocks, Shock capturing schemes

Sudden Expansion Incompressible non-Newtonian flow , p-Navier-Stokes

Space-Time for Incompressible Navier Stokes

Space-Time for Incompressible Navier Stokes

* Isogeometric Analysis (IGA)

Multipatch representation with gaps and overlaps

Convergence rates for representations Gaps and Overlaps

Space time IGA using multipatch representations

*Friction and Solid Deformation

Rolling metal process

Velocity along the touching interface

Inhomogeneous bodies.

Microstructure surface representation .

Friction and deformation

Body and microstructure deformation s

*Unified Space-Time FEMs for fluid flow problems

Space-Time FEMs with continuous polynomial spaces,

Solving Non-Newtonian fluid motions .

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