11 citations · 28 across the 14 of their papers we have counts for
15 papers
Virtual element approximations for distributed or Neumann boundary optimal control problems governed by poroelasticity equation
Thirupathi Gudi, David Mora, Nitesh Verma
This paper investigate the conforming virtual element method for the optimal control problem governed by the linear poroelasticity equation. Both distributed control and Neumann bo…
and error identities for the scalar Signorini problem
Sören Bartels, Thirupathi Gudi, Alex Kaltenbach
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 th…
A Local Projection Stabilised HHO Method for the Oseen Problem
Gouranga Mallik, Rahul Biswas, Thirupathi Gudi
In this article, we consider a local projection stabilisation for a Hybrid High-Order (HHO) approximation of the Oseen problem. We prove an existence-uniqueness result under a stro…
A two-grid Adaptive Finite Element Method for the Dirichlet Boundary Control Problem Governed by Stokes Equation
Thirupathi Gudi, Ramesh Chandra Sau
In this article, we derive \textit{a posteriori} error estimates for the Dirichlet boundary control problem governed by Stokes equation. An energy-based method has been deployed to…
A Hybrid High-Order Method for a Class of Strongly Nonlinear Elliptic Boundary Value Problems
Gouranga Mallik, Thirupathi Gudi
In this article, we design and analyze a Hybrid High-Order (HHO) finite element approximation for a class of strongly nonlinear boundary value problems. We consider an HHO discreti…
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…
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…
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…
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…
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…
Bubbles Enriched Quadratic Finite Element Method for the 3D-Elliptic Obstacle Problem
Sharat Gaddam, Thirupathi Gudi
Optimally convergent (with respect to the regularity) quadratic finite element method for two dimensional obstacle problem on simplicial meshes is studied in (Brezzi, Hager, Raviar…
Inhomogeneous Dirichlet Boundary Condition in the A Posteriori Error Control of the Obstacle Problem
Sharat Gaddam, Thirupathi Gudi
We propose a new and simpler residual based a posteriori error estimator for finite element approximation of the elliptic obstacle problem. The results in the article are two fold.…
A Frame Work for the Error Analysis of Discontinuous Finite Element Methods for Elliptic Optimal Control Problems and Applications to IP methods
Sudipto Chowdhury, Thirupathi Gudi, A. K. Nandakumaran
In this article, an abstract framework for the error analysis of discontinuous Galerkin methods for control constrained optimal control problems is developed. The analysis establis…
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…
Convergence Analysis of the Lowest Order Weakly Penalized Adaptive Discontinuous Galerkin Methods
Thirupathi Gudi, Johnny Guzmán
In this article, we prove convergence of the weakly penalized adaptive discontinuous Galerkin methods. Unlike other works, we derive the contraction property for various discontinu…