1 citations · 1 across the 10 of their papers we have counts for
12 papers
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…
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…
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 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…
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…
Goal-Oriented A Posteriori Error Estimation for the Biharmonic Problem Based on Equilibrated Moment Tensor
Gouranga Mallik
In this article, goal-oriented a posteriori error estimation for the biharmonic plate bending problem is considered. The error for approximation of goal functional is represented b…
Comparison results of -finite elements for fourth-order semilinear von Karman equations
Gouranga Mallik
Lower-order finite elements are popular for solving fourth-order elliptic PDEs when the solution has limited regularity. A priori and a posteriori error estimates for von Kar…
Error estimates for the numerical approximation of a distributed optimal control problem governed by the von Kármán equations
Gouranga Mallik, Neela Nataraj, Jean-Pierre Raymond
In this paper, we discuss the numerical approximation of a distributed optimal control problem governed by the von Karman equations, defined in polygonal domains with point-wise co…
A Priori and A Posteriori Error Control of Discontinuous Galerkin Finite Element Methods for the Von Kármán Equations
Carsten Carstensen, Gouranga Mallik, Neela Nataraj
This paper analyses discontinuous Galerkin finite element methods (DGFEM) to approximate a regular solution to the von Kármán equations defined on a polygonal domain. A discrete in…
Nonconforming Finite Element Discretisation for Semilinear Problems with Trilinear Nonlinearity
Carsten Carstensen, Gouranga Mallik, Neela Nataraj
The Morley finite element method (FEM) is attractive for semilinear problems with the biharmonic operator as a leading term in the stream function vorticity formulation of 2D Navie…
A Nonconforming Finite Element Approximation for the von Karman Equations
Gouranga Mallik, Neela Nataraj
In this paper, a nonconforming finite element method has been proposed and analyzed for the von Karman equations that describe bending of thin elastic plates. Optimal order error e…