A novel adaptive approach for solving singularly perturbed problems; Prof. Dr. Vivek Aggarwal (Delhi Technology University)

ABSTRACT: Adaptive meshes are always needed to deal with the problems

exhibit boundary or interior layers or shocks. Most of the adaptive

approaches till date are gradient based. One should have finer mesh

where the gradient is large as compared to the regular region (where

gradient is good enough). Recently, we have (along with one of my

collaborator) developed a new approach to achieve adaptive meshes

using the differential operator, we call it entropy production

operator. Results are encouraging for some elliptic and parabolic

cases.