Title: Stabilized Variational Multiscale Sub-Grid Finite Element Analysis of Coupled Brinkman-Stokes-Transport Model
Speaker: B. V. Rathish Kumar, Department of Mathematics and Statistics, IIT Kanpur
Date and Time: February 10, 2021; 3:00pm
Venue: Google Meet
Abstract: In this talk, I will introduce the concept of variational multiscale Sub-Grid Finite Element Method for fluid flows problems. Next, we will look at the notion of apriori and aposteriori error analysis for the Finite Element Method in the context of transport models with variable diffusivity. Further the theory of stabilized Variational Multiscale Sub-Grid Finite Element Method (VMSGFEM) for transport equations, which is especially helpful to handle convection dominated fluid flows, will be dealt with. Finally, the VMSGFEA for the unified Brinkman-Stokes/Transport Model together with the results from the numerical test cases will be discussed.