7 papers · 1 filter
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…
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…