4 papers
Unfolding operator on Heisenberg Group and applications in Homogenization
A. K. Nandakumaran, Abu Sufian
The periodic unfolding method is one of the latest tool after multi-scale convergence to study multi-scale problems like homogenization problems. It provides a good understanding o…
Exact Internal Controllability for a Problem with Imperfect Interface
S. Monsurrò, A. K. Nandakumaran, C. Perugia
In this paper we study the internal exact controllability for a second order linear evolution equation defined in a two-component domain. On the interface we prescribe a jump of th…
A Frame Work for the Error Analysis of Discontinuous Finite Element Methods for Elliptic Optimal Control Problems and Applications to IP methods
Sudipto Chowdhury, Thirupathi Gudi, A. K. Nandakumaran
In this article, an abstract framework for the error analysis of discontinuous Galerkin methods for control constrained optimal control problems is developed. The analysis establis…
Variational Approach to Homogenization of Doubly-Nonlinear Flow in a Periodic Structure
A. K. Nandakumaran, Augusto Visintin
This work deals with the homogenization of an initial- and boundary-value problem for the doubly-nonlinear system $$ D_t w -\nabla\cdot \vec z = \nabla\cdot \vec h(x,t,x/\varepsilo…