3 papers
math.OC2024
Non-Conforming Finite Element Method For Constrained Dirichlet Boundary Control Problem
Sudipto Chowdhury, Divay Garg
This article examines the Dirichlet boundary control problem governed by the Poisson equation, where the control variables are square integrable functions defined on the boundary o…
math.OC2022
Modified C0 interior penalty analysis for fourth order Dirichlet boundary control problem and a posteriori error estimate
Sudipto Chowdhury, Divay Garg, Ravina Shokeen
We revisit the L2 norm error estimate for the C0 interior penalty analysis of fourth order Dirichlet boundary control problem. The L2 norm estimate for the optimal control is deriv…
math.NA2022
Mixed finite element method for a second order Dirichlet boundary control problem
Divay Garg, Kamana Porwal
The main aim of this article is to analyze mixed finite element method for the second order Dirichlet boundary control problem. Therein, we develop both a priori and a posteriori e…