10 papers
Finite element analysis of a nonlinear heat Equation with damping and pumping effects
Rishabh Shukla, Wasim Akram, Manil T. Mohan
We study the following nonlinear heat equation with damping and pumping effects (a reaction-diffusion equation) posed on a bounded simply connected convex domain $Ω\subset \mathbb{…
Optimal Control of a Hemivariational Inequality of Stationary Convective Brinkman-Forchheimer Extended Darcy equations with Numerical Approximation
Wasim Akram, Manil T. Mohan
This paper studies an optimal control problem for a stationary convective Brinkman-Forchheimer extended Darcy (CBFeD) hemivariational inequality in two and three dimensions, subjec…
Mixed Finite Element Method for a Hemivariational Inequality of Stationary convective Brinkman-Forchheimer Extended Darcy equations
Wasim Akram, Manil T. Mohan
This paper presents the formulation and analysis of a mixed finite element method for a hemivariational inequality arising from the stationary convective Brinkman-Forchheimer exten…
Boundary Stabilizability of Generalized Burgers-Huxley Equation with Memory
Manika Bag, Wasim Akram, Manil T. Mohan
In this paper, we study a generalized Burgers-Huxley equation with memory, subject to nonhomogeneous Dirichlet boundary conditions. We construct a linear, finite-dimensional Dirich…
LQR based stabilization of a heat equation with memory
Bhargav Pavan Kumar Sistla, Wasim Akram, Debanjana Mitra +1
We consider a heat equation with memory which is defined on a bounded domain in and is driven by control inputs acting on the interior of the domain. Our objecti…
Feedback Stabilizability of a generalized Burgers-Huxley equation with kernel around a non-constant steady state
Wasim Akram, Manika Bag, Manil T. Mohan
In this article, we investigate a generalized Burgers-Huxley equation with a smooth kernel defined in a bounded domain , , focusing on feedback…
Error estimates for viscous Burgers' equation using deep learning method
Wasim Akram, Sagar Gautam, Deepanshu Verma +1
The article focuses on error estimates as well as stability analysis of deep learning methods for stationary and non-stationary viscous Burgers equation in two and three dimensions…
Stabilizability of 2D and 3D Navier-Stokes equations with memory around a non-constant steady state
Wasim Akram, Manika Bag, Manil T. Mohan
In this article, we investigate the stabilizability of the two- and three-dimensional Navier-Stokes equations with memory effects around a non-constant steady state using a localiz…
Feedback Stabilization and Finite Element Error Analysis of Viscous Burgers Equation around Non-Constant Steady State
Wasim Akram
In this article, we explore the feedback stabilization of a viscous Burgers equation around a non-constant steady state using localized interior controls and then develop error est…
Feedback stabilization of parabolic coupled system and its numerical study
Wasim Akram, Debanjana Mitra, Neela Nataraj +1
In the first part of this article, we study feedback stabilization of a parabolic coupled system by using localized interior controls. The system is feedback stabilizable with expo…