most citedAn error analysis of discontinuous finite element methods for the optimal control problems governed by Stokes equation

11 citations · 15 across the 4 of their papers we have counts for

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5 papers

math.NA20211 cited

Finite element analysis of the Dirichlet boundary control problem governed by linear parabolic equation

Thirupathi Gudi, Gouranga Mallik, Ramesh Ch. Sau

A finite element analysis of a Dirichlet boundary control problem governed by the linear parabolic equation is presented in this article. The Dirichlet control is considered in a c…

math.NA202111 cited

An error analysis of discontinuous finite element methods for the optimal control problems governed by Stokes equation

Asha K Dond, Thirupathi Gudi, Ramesh Ch. Sau

In this paper, an abstract framework for the error analysis of discontinuous finite element method is developed for the distributed and Neumann boundary control problems governed b…

math.NA2021

A Hybrid-High Order Method for Quasilinear Elliptic Problems of Nonmonotone Type

Thirupathi Gudi, Gouranga Mallik, Tamal Pramanick

In this paper, we design and analyze a Hybrid-High Order (HHO) approximation for a class of quasilinear elliptic problems of nonmonotone type. The proposed method has several advan…

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.NA2019

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal approximation estimates in

Alexandre Ern, Thirupathi Gudi, Iain Smears +1

Given an arbitrary function in H(div), we show that the error attained by the global-best approximation by H(div)-conforming piecewise polynomial Raviart-Thomas-Nédélec elements un…