Activity Conducted: Virtual webinar on “On an Adaptive Finite Element Discretization of Darcy-Brinkman-Forchheimer Model”

Club name: Ramanujan’s club

WEBINAR REPORT

Department of Mathematics, REVA University, Bangalore, organized expertwebinar entitled.

“On an Adaptive Finite Element Discretization of Darcy-Brinkman-Forchheimer Model”

20th March 2021, from 10:00 am to 11:00 am

Resource Person

Dr. S. M. Mallikarjunaiah (Assistant Professor of Mathematics)

Texas A&M University – Corpus Christi Corpus Christi, Texas-78412 United States of America (USA)

Organizers:

• Dr. P. Sridevi
• Dr. U. Vijaya Chandra Kumar

The talk by Dr. S. M. Mallikarjunaiah, includes the Research work on “On an Adaptive Finite Element Discretization of Darcy-Brinkman-Forchheimer Model” based on the following Mathematical concepts.

• The importance and applications of “Darcy-Brinkman Forchheimer Model”
• Hydraulic fracturing,
• Non-dimensionalized system,
• How non-linearity exists,
• Linearization using Newton’s method,
• In Variational formulation clearly explained how to use Bi-Linear and Tri-Linear terms,
• How to formulate continuous weak formulation,
• How to formulate finite element discretization,
• Impact of usage and non-usage of infimum-suprimum,
• Augmented-Lagrangian Stabilization term,
• Linear solver with pre-conditioners,
• How to solve Block Matrix,
• How to use H-Convergency study to check our algorithm correct or not,
• Adaptive Mesh Refinement,
• Depiction of Numerical Results.

Virtual Webinar Link: http://bit.ly/3lo7zQk

The lecture was attended by all MSC students, research scholars and faculty of Mathematics REVA University and in & around Bangalore.

We would like to thank our beloved Assistant Director Dr. Harish BabuG.A for cooperating to organize the event. We also thank to Associate Dean Dr Rama Chandra. P, Deputy Director Prof. ShilpaBR, School of Applied Sciences, forencouragement towards academic activities of the school.

Regards

Department of Mathematics, SOAS

REVA University- Bangalore