The Gradient Discretization Method for Optimal Control Problems, with Superconvergence for Nonconforming Finite Elements and Mixed-Hybrid Mimetic Finite Differences. - Jérôme Droniou; Neela Nataraj; Devika Shylaja (SIAM J. Control. Optim., 2017)

Numerical Analysis for the Pure Neumann Control Problem Using the Gradient Discretisation Method. - Jérôme Droniou; Neela Nataraj; Devika Shylaja (Comput. Methods Appl. Math., 2018)

The Hessian Discretisation Method for Fourth Order Linear Elliptic Equations. - Jérôme Droniou; Bishnu P. Lamichhane; Devika Shylaja (J. Sci. Comput., 2019)

Morley Finite Element Method for the von Kármán Obstacle Problem. - Carsten Carstensen; Sharat Gaddam; Neela Nataraj; Amiya Kumar Pani; Devika Shylaja (CoRR, 2020)

Hessian discretisation method for fourth-order semi-linear elliptic equations: applications to the von Kármán and Navier-Stokes models. - Jérôme Droniou; Neela Nataraj; Devika Shylaja (Adv. Comput. Math., 2021)

Morley FEM for a Distributed Optimal Control Problem Governed by the von Kármán Equations. - Sudipto Chowdhury; Neela Nataraj; Devika Shylaja (Comput. Methods Appl. Math., 2021)

Conforming and Nonconforming Finite Element Methods for Biharmonic Inverse Source Problem. - Devika Shylaja; M. T. Nair (CoRR, 2021)

A posteriori error analysis for a distributed optimal control problem governed by the von Kármán equations. - Sudipto Chowdhury; Asha K. Dond; Neela Nataraj; Devika Shylaja (CoRR, 2021)

Numerical analysis of optimal control problems governed by fourth-order linear elliptic equations using the Hessian discretisation method. - Devika Shylaja (CoRR, 2022)

Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems. - Carsten Carstensen; Neela Nataraj; Gopikrishnan Chirappurathu Remesan; Devika Shylaja (Numerische Mathematik, 2023)

Convergence analysis of a nonconforming virtual element method for compressible miscible displacement problems in porous media. - Sarvesh Kumar; Devika Shylaja (CoRR, 2024)

Morley type virtual element method for von Kármán equations. - Devika Shylaja; Sarvesh Kumar (Adv. Comput. Math., 2024)

Nonconforming virtual element method for an incompressible miscible displacement problem in porous media. - Sarvesh Kumar; Devika Shylaja (Comput. Math. Appl., 2025)