5 citations · 7 across the 13 of their papers we have counts for
14 papers
Convergence Analysis of the Hessian Discretisation Method for Fourth Order Semi-linear Elliptic Equations with General Source
Devika Shylaja
This paper presents a convergence analysis for the Hessian Discretisation Method (HDM) applied to fourth-order semilinear elliptic equations involving a trilinear nonlinearity and…
Convergence analysis of a nonconforming virtual element method for compressible miscible displacement problems in porous media
Sarvesh Kumar, Devika Shylaja
This article presents a priori error estimates of the miscible displacement of one compressible fluid by another in a porous medium. The study utilizes the conforming…
Nonconforming virtual element method for an incompressible miscible displacement problem in porous media
Sarvesh Kumar, Devika Shylaja
This article presents a priori error estimates of the miscible displacement of one incompressible fluid by another through a porous medium characterized by a coupled system of nonl…
Morley Type Virtual Element Method for Von Kármán Equations
Devika Shylaja, Sarvesh Kumar
This paper analyses the nonconforming Morley type virtual element method to approximate a regular solution to the von Kármán equations that describes bending of very thin elastic p…
Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems
Carsten Carstensen, Neela Nataraj, Gopikrishnan C. Remesan +1
A unified framework for fourth-order semilinear problems with trilinear nonlinearity and general source allows for quasi-best approximation with lowest-order finite element methods…
Numerical analysis of optimal control problems governed by fourth-order linear elliptic equations using the Hessian discretisation method
Devika Shylaja
This paper focusses on the optimal control problems governed by fourth-order linear elliptic equations with clamped boundary conditions in the framework of the Hessian discretisati…
A posteriori error analysis for a distributed optimal control problem governed by the von Kármán equations
Sudipto Chowdhury, Asha K. Dond, Neela Nataraj +1
This article discusses numerical analysis of the distributed optimal control problem governed by the von Kármán equations defined on a polygonal domain in . The state…
Conforming and Nonconforming Finite Element Methods for Biharmonic Inverse Source Problem
Devika Shylaja, M. T. Nair
This paper deals with the numerical approximation of the biharmonic inverse source problem in an abstract setting in which the measurement data is finite-dimensional. This unified…
Morley Finite Element Method for the von Kármán Obstacle Problem
Carsten Carstensen, Sharat Gaddam, Neela Nataraj +2
This paper focusses on the von Kármán equations for the moderately large deformation of a very thin plate with the convex obstacle constraint leading to a coupled system of semilin…
Hessian discretisation method for fourth order semi-linear elliptic equations: applications to the von Kármán and Navier--Stokes models
Jérome Droniou, Neela Nataraj, Devika Shylaja
This paper deals with the Hessian discretisation method (HDM) for fourth order semi-linear elliptic equations with a trilinear nonlinearity. The HDM provides a generic framework fo…
Improved and error estimates for the Hessian discretisation method
Devika Shylaja
The Hessian discretisation method (HDM) for fourth order linear elliptic equations provides a unified convergence analysis framework based on three properties namely coercivity, co…
The Hessian discretisation method for fourth order linear elliptic equations
Jérôme Droniou, Bishnu P. Lamichhane, Devika Shylaja
In this paper, we propose a unified framework, the Hessian discretisation method (HDM), which is based on four discrete elements (called altogether a Hessian discretisation) and a…
Numerical analysis for the pure Neumann control problem using the gradient discretisation method
Jerome Droniou, Neela Nataraj, Devika Shylaja
The article discusses the gradient discretisation method (GDM) for distributed optimal control problems governed by diffusion equation with pure Neumann boundary condition. Using t…
The gradient discretisation method for optimal control problems, with super-convergence for non-conforming finite elements and mixed-hybrid mimetic finite differences
Jerome Droniou, Neela Nataraj, Devika Shylaja
In this paper, optimal control problems governed by diffusion equations with Dirichlet and Neumann boundary conditions are investigated in the framework of the gradient discretisat…