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math.NA2025
Finite Element Analysis for the Chafee-Infante Equation Using Distributed Feedback Control
Shishu Pal Singh, Sudeep Kundu
In this paper, we propose a \( C^0 \)-conforming finite element method for the Chafee-Infante equation with a finite-parameter feedback control. We establish error analysis for bot…
math.NA2025
Finite Difference Method for Global Stabilization of the Viscous Burgers' Equation with Nonlinear Neumann Boundary Feedback Control
Shishu Pal Singh, Sudeep Kundu
This article focuses on a nonlinear Neumann boundary feedback control formulation for the viscous Burgers' equation and develops a class of finite difference schemes to achieve glo…
math.NA2025
Penalty-Based Feedback Control and Finite Element Analysis for the Stabilization of Nonlinear Reaction-Diffusion Equations
Sudeep Kundu, Shishu pal Singh
In this work, first we employ a penalization technique to analyze a Dirichlet boundary feedback control problem pertaining to reaction-diffusion equation. We establish the stabiliz…