Title: A Posteriori Error Analysis of Discontinuous Galerkin Methods for Elliptic Variational Inequalities
Speaker: Ms. Kamana Porwal IISc
Date: 25 March 2014
Time: 3:30 - 4:30 p.m.
Venue: Lecture Hall I, Department of Mathematics
Discontinuous Galerkin methods have received a lot of attention in the past two decades since these are high order accurate and stable methods which can easily handle complex geometries, irregular meshes with hanging nodes and different degree polynomial approximation in different elements. Adaptive algorithms refine the mesh locally in the region where the solution exhibits irregular behaviour and a posteriori error estimates are the main tools to steer the adaptive mesh refinement. In this talk, we present a posteriori error analysis of discontinuous Galerkin methods for variational inequalities of the first kind and the second kind. Particularly, we study the obstacle problem and the Signorini problem in the category of variational inequalities of the first kind and the plate frictional contact problem for the variational inequality of the second kind. Numerical examples will be presented to illustrate the theoretical results.