| Biography | |
|---|---|
 Prof. Pratibhamoy Das Indian Institute of Technology, India |
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| Title: An Entropy based Graded mesh Refinement Approach for Boundary Layer Originated Convection Diffusion Flow Models | |
| Abstract: In this talk, I will take a time delayed convection diffusion model which appear during the water flow modeling. Efficient numerical approximation for these type of models are bit tough to propose as the water flows/solutions are having boundary layers. We provide an entropy based graded mesh refinement algorithm which generates the mesh points in the boundary layer region in order to maintain the original behavior of the boundary layer adaptive solution. Numerical experiments are carried out on higher order schemes to maintain the physical behavior of the solution of the model. | |
| Biography: Dr. Pratibhamoy Das is an Assistant Professor of Department of Mathematics, Indian Institute of Technology Patna. He works mainly on the optimal accurate numerical analysis of singularly perturbed differential equations and approximations of fractional integro differential equations. Presently, he is working on the a posteriori estimate generation for system of boundary/interior layer originated parabolic problems and theoretical aspects and least square based optimal accurate solutions for fractional integro differential models. Before joining to IIT Patna, he was an Einstein Foundation Fellow at Institute fur Mathematik, Technische Universitat Berlin, Germany, where he worked with the group of Prof. Volker Mehrmann. He was also a visiting faculty at IISER Bhopal and NBHM Fellow at Indian Institute of Science Bangalore. He did his master from IIT Bombay and doctorate from IIT Guwahati. At present, he has plenty of international MathScinet and SCI listed publications and single author publications. He is also receipt of several awards, including Young Scientist Award at 100th Indian Science Congress and also DAAD Research Ambassador of Germany. | |
