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.
[05366] Spectral Element Method for Parabolic Problems with Corner Singularities
Format : Talk at Waseda University
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.
