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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 6 of their papers we have counts for

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6 papers

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.NA20221 cited

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…

math.NA2022

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…

math.NA20213 cited

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…

math.OC2021

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…

math.NA2021

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…