1 citations · 2 across the 9 of their papers we have counts for
10 papers
On the solvability for mixed boundary value problems
Rohit Khandelwal, Zongyuan Li
We establish global solvability for the Poisson equation with mixed Dirichlet--Neumann boundary conditions in two classes of domains in all dimensions . For $C^{…
Structure-Preserving Optimal Control of Maxwell's Equations with Applications to Source Cloaking
Harbir Antil, Yaw Owusu-Agyemang, Rohit Khandelwal +2
We develop a structure-preserving solution framework for the optimal control of the time-dependent Maxwell's equations. Building on a well-posedness theory for a weak form of the f…
An online adaptive finite-element method for nonsmooth PDE-constrained optimization
Harbir Antil, Robert J. Baraldi, Rohit Khandelwal +1
We present a trust-region-based adaptive finite-element algorithm for numerically solving a class of nonsmooth PDE-constrained optimization problems that includes problems with spa…
Variational problems with gradient constraints: and error identities
Harbir Antil, Sören Bartels, Alex Kaltenbach +1
In this paper, on the basis of a (Fenchel) duality theory on the continuous level, we derive an error identity for arbitrary conforming approximations of a…
Elliptic Reconstruction and A Posteriori Error Estimates for Parabolic Variational Inequalities
Harbir Antil, Rohit Khandelwal
Elliptic reconstruction property, originally introduced by Makridakis and Nochetto for linear parabolic problems, is a well-known tool to derive optimal a posteriori error estimate…
Supremum norm A Posteriori Error control of Quadratic Finite Element Method for the Signorini problem
Rohit Khandelwal, Kamana Porwal, Tanvi Wadhawan
In this paper, we develop a new residual-based pointwise a posteriori error estimator of the quadratic finite element method for the Signorini problem. The supremum norm a posterio…
Pointwise A posteriori error control of quadratic Discontinuous Galerkin Methods for the unilateral contact problem
Rohit Khandelwal, Kamana Porwal, Tanvi Wadhawan
An a posteriori error bound for the pointwise error of the quadratic discontinuous Galerkin method for the unilateral contact problem on polygonal domain is presented. The pointwis…
A Discontinuous Galerkin Method for Optimal Control of the Obstacle Problem
Harbir Antil, Rohit Khandelwal, Umarkhon Rakhimov
This article provides quasi-optimal a priori error estimates for an optimal control problem constrained by an elliptic obstacle problem where the finite element discretization is c…
Supremum-norm a posteriori error control of quadratic discontinuous Galerkin methods for the obstacle problem
Rohit Khandelwal, Kamana Porwal, Ritesh Singla
We perform a posteriori error analysis in the supremum norm for the quadratic discontinuous Galerkin method for the elliptic obstacle problem. We define two discrete sets (motivate…
Adaptive quadratic finite element method for the unilateral contact problem
Rohit Khandelwal, Kamana Porwal, Tanvi Wadhawan
In this paper, we present and analyze a posteriori error estimates in the energy norm of a quadratic finite element method for the frictionless unilateral contact problem. The reli…