5 papers
Morley Finite Element Method for the von Kármán Obstacle Problem
Carsten Carstensen, Sharat Gaddam, Neela Nataraj +2
This paper focusses on the von Kármán equations for the moderately large deformation of a very thin plate with the convex obstacle constraint leading to a coupled system of semilin…
A mixed finite element scheme for biharmonic equation with variable coefficient and von Kármán equations
Huangxin Chen, Amiya K. Pani, Weifeng Qiu
In this paper, a new mixed finite element scheme using element-wise stabilization is introduced for the biharmonic equation with variable coefficient on Lipschitz polyhedral domain…
Global Stabilization of 2D Forced Viscous Burgers' Equation Around Nonconstant Steady State Solution by Nonlinear Neumann Boundary Feedback Control:Theory and Finite Element Analysis
Sudeep Kundu, Amiya Kumar Pani
Global stabilization of viscous Burgers' equation around constant steady state solution has been discussed in the literature. The main objective of this paper is to show global sta…
Global Stabilization of Two Dimensional Viscous Burgers' Equation by Nonlinear Neumann Boundary Feedback Control and its Finite Element Analysis
Sudeep Kundu, Amiya Kumar Pani
In this article, global stabilization results for the two dimensional (2D) viscous Burgers' equation, that is, convergence of unsteady solution to its constant steady state solutio…
Approximate Controllability of a Class of Partial Integro-Differential Equations of Parabolic Type
Anil Kumar, Amiya K. Pani, Mohan C. Joshi
In this paper, we discuss the distributed control problem governed by the following parabolic integro-differential equation (PIDE) in the abstract form \begin{eqnarray*} \frac{\par…