Date & Time: Monday, April 21, 2014, 17:45-18:15.
Venue: IRCC Conference Room II, SOM-IRCC Building
Title: A C0 interior penalty method for an optimal control problem governed by the biharmonic operator
Speaker: Neela Nataraj, IIT Bombay
Abstract: In the recent past, C0 interior penalty methods have been attractive for solving the fourth order problems.
In this talk, a C0 interior penalty method is proposed and analyzed for distributed optimal control problems governed by the biharmonic operator. The state equation is discretized using continuous piecewise quadratic finite elements while piecewise constant approximations are used for discretizing the control variable. A priori and a posteriori error estimates are derived for both the state and control variables under minimal regularity assumptions. Theoretical results are demonstrated by numerical experiments. The a posteriori error estimators are useful in adaptive finite element approximation and the numerical results indicate that the sharp error estimators work efficiently in guiding the mesh refinement and saving the computational effort substantially.