3 citations · 4 across the 14 of their papers we have counts for
14 papers
A posteriori error analysis of hybrid higher order methods for the elliptic obstacle problem
Kamana Porwal, Ritesh Singla
In this article, a posteriori error analysis of the elliptic obstacle problem is addressed using hybrid high-order methods. The method involve cell unknowns represented by degree-$…
Vectorized implementation of primal hybrid FEM in MATLAB
Harish Nagula Mallesham, Kamana Porwal, Jan Valdman +1
We present efficient MATLAB implementations of the lowest-order primal hybrid finite element method (FEM) for linear second-order elliptic and parabolic problems with mixed boundar…
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…
Non-conforming FEM for the quasi-static contact problem
Kamana Porwal, Tanvi Wadhawan
In this article, we addressed the numerical solution of a non-linear evolutionary variational inequality, which is encountered in the investigation of quasi-static contact problems…
Quadratic Discontinuous Galerkin methods for Unilateral Contact Problem
Kamana Porwal, Tanvi Wadhawan
In this article, we employ discontinuous Galerkin (DG) methods for the finite element approximation of the frictionless unilateral contact problem using quadratic finite elements o…
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…
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…
A nonconforming finite element method for an elliptic optimal control problem with constraint on the gradient
Kamana Porwal, Pratibha Shakya
This article is concerned with the nonconforming finite element method for distributed elliptic optimal control problems with pointwise constraints on the control and gradient of t…
Pointwise A Posteriori Error Analysis of a Discontinuous Galerkin Method for the Elliptic Obstacle Problem
Blanca Ayuso de Dios, Thirupathi Gudi, Kamana Porwal
We present a posteriori error analysis in the supremum norm for the symmetric interior penalty discontinuous Galerkin method for the elliptic obstacle problem. We construct discret…
Adaptive finite element method for an elliptic optimal control problem with integral state constraints
Kamana Porwal, Pratibha Shakya
In this article, we develop a posteriori error analysis of a nonconforming finite element method for a linear quadratic elliptic distributed optimal control problem with two differ…
Unified Analysis of Discontinuous Galerkin Methods for Frictional Contact Problem with normal compliance
Kamana Porwal, Tanvi
In this article, a reliable and efficient a posteriori error estimator of residual type is derived for a class of discontinuous Galerkin methods for the frictional contact problem…
A Posteriori and A Priori Error Estimates of Quadratic Finite Element Method for Elliptic Obstacle Problem
Thirupathi Gudi, Kamana Porwal
A residual based {\em a posteriori} error estimator is derived for a quadratic finite element method (fem) for the elliptic obstacle problem. The error estimator involves various r…