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20202025
most citedFinite element analysis of the Dirichlet boundary control problem governed by linear parabolic equation

1 citations · 1 across the 7 of their papers we have counts for

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8 papers

math.NA2025

A Hybrid High-Order Finite Element Method for a Nonlocal Nonlinear Problem of Kirchhoff Type

Gouranga Mallik

In this article, we design and analyze a hybrid high-order (HHO) finite element approximation for the solution of a nonlocal nonlinear problem of Kirchhoff type. The HHO method inv…

math.NA2025

An Error Analysis of Second Order Elliptic Optimal Control Problem via Hybrid Higher Order Methods

Gouranga Mallik, Ramesh Chandra Sau

This paper presents the design and analysis of a Hybrid High-Order (HHO) approximation for a distributed optimal control problem governed by the Poisson equation. We propose three…

math.NA2024

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…

math.NA2023

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…

math.NA2021★ 1 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.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…