Wed, March 13, 2019
Public Access

Category: All

March 2019
Mon Tue Wed Thu Fri Sat Sun
        1 2 3
4 5 6 7 8 9 10
11 12 13 14 15 16 17
18 19 20 21 22 23 24
25 26 27 28 29 30 31
4:00pm [4:00pm] Pratibhamoy Das, IIT Patna
Partial Differential Equations Seminar. Speaker: Pratibhamoy Das Affiliation: IIT Patna Date and Time: Wednesday 13 March, 4.00 pm - 5.00 pm Venue: Room 216, Department of Mathematics. Title: A Priori and A Posteriori Based Parameter Uniform Convergence Analysis for Solutions of Singularly Perturbed Differential Equations. Abstract: Singular perturbation and the boundary layer phenomena appear very often in several applications today. Presence of a small parameter in the differential equation changes the behavior of the solution rapidly. Uniform meshes are inadequate for the convergence of numerical solution. The aim of the present talk is to consider the adaptive mesh generation for these problems based on moving mesh strategy. I shall start this talk with a small introduction on singular perturbation. The analytical and computational difficulties in the existed methods will be discussed. The concept of moving mesh strategy and its implementation will be explained. A nonlinear system of differential equations with delay will be considered to show the difference between a priori and a posteriori generated meshes after discussing my researches on this field. The parameter uniform a posteriori based error estimate for a system of reaction-diffusion problems and a priori based convergence analysis for a parabolic convection-diffusion problem will be presented with computational evidence.