3 papers
math.NA2026
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…
math.NA2024
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…
math.NA2023
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…