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20212024
most citedPointwise A Posteriori Error Analysis of a Discontinuous Galerkin Method for the Elliptic Obstacle Problem

3 citations · 4 across the 13 of their papers we have counts for

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math.NA2024

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-$…

math.NA2024

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…

math.NA2024

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…

math.NA2024

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…

math.NA2024

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…

math.NA2024

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…