[01672] High accuracy compact methods for partial differential equations
Session Date & Time :
01672 (1/2) : 3C (Aug.23, 13:20-15:00)
01672 (2/2) : 3D (Aug.23, 15:30-17:10)
Type : Proposal of Minisymposium
Abstract : This minisymposium brings together researchers developing high accuracy compact finite difference schemes for the solution of a variety of partial differential equations. One of the aims of this minisymposium is to examine the progress made on the solution of a variety of fluid flow problems.
Jiten Chandra Kalita (Indian Institute of Technology Guwahati)
Aakansha Aakansha (Indian Institute of Technology (BHU), Varanasi)
Atendra Kumar (National Institute of Technology Srinagar)
Navnit Jha (South Asian University)
Talks in Minisymposium :
[05366] Spectral Element Method for Parabolic Problems with Corner Singularities
Author(s) :
Sanuwar Ahmed Choudhury (National Institute of Technology Silchar Assam India)
Pankaj Biswas (National Institute of Technology Silchar Assam India)
Abstract : In many engineering applications, reconstruction of temperature generated from incomplete data causes corner singularities. In such cases, a solution of parabolic initial-boundary-value-problems(IBVP) on nonsmooth-domains is required. Spectral-element methods give exponential accuracy for smooth solutions. Generating geometric meshes at the neighborhood of the corners on the space-domain a parallel least-squares-spectral-element-method using MPI is presented here to resolve the singularities. Numerical scheme has been developed in the frame-work of Sobolev spaces and examples are presented to validate the estimates.
