10 papers
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs
C. Carstensen, Neela Nataraj, Amiya K. Pani
For a well-posed non-selfadjoint indefinite second-order linear elliptic PDE with general coefficients in and symmetric and uniformly positive d…
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…
Parameter dependent finite element analysis for ferronematics solutions
Ruma Rani Maity, Apala Majumdar, Neela Nataraj
This paper focuses on the analysis of a free energy functional, that models a dilute suspension of magnetic nanoparticles in a two-dimensional nematic well. The {\it first part} of…
A priori and a posteriori error analysis of the Crouzeix-Raviart and Morley FEM with original and modified righthand sides
Carsten Carstensen, Neela Nataraj
This article on nonconforming schemes for harmonic problems simultaneously treats the Crouzeix-Raviart () and the Morley finite elements () for the original and for m…
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…
Error analysis of Nitsche's and discontinuous Galerkin methods of a reduced Landau-de Gennes problem
Ruma Rani Maity, Apala Majumdar, Neela Nataraj
We study a system of semi-linear elliptic partial differential equations with a lower order cubic nonlinear term, and inhomogeneous Dirichlet boundary conditions, relevant for two-…