Neela Nataraj

Publication Activity (10 Years)

Years Active: 2004-2024
Publications (10 Years): 37

Top Topics

Top Venues

Comput. Methods Appl. Math.

Comput. Math. Appl.

SIAM J. Numer. Anal.

Publications

Carsten Carstensen, Benedikt Gräßle, Neela Nataraj
A Posteriori Error Control for Fourth-Order Semilinear Problems with Quadratic Nonlinearity. SIAM J. Numer. Anal. 62 (2) (2024)
Shantiram Mahata, Neela Nataraj, Jean-Pierre Raymond
Lowest-order Nonstandard Finite Element Methods for Time-Fractional Biharmonic Problem. CoRR (2024)
Carsten Carstensen, Benedikt Gräßle, Neela Nataraj
Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation. J. Num. Math. 32 (1) (2024)
Asha K. Dond, Neela Nataraj, Subham Nayak
Convergence of Adaptive Crouzeix-Raviart and Morley FEM for Distributed Optimal Control Problems. Comput. Methods Appl. Math. 24 (3) (2024)
Neela Nataraj, Ricardo Ruiz-Baier, Aamir Yousuf
Semi and fully-discrete analysis of lowest-order nonstandard finite element methods for the biharmonic wave problem. CoRR (2024)
Avijit Das, Bishnu P. Lamichhane, Neela Nataraj
A unified mixed finite element method for fourth-order time-dependent problems using biorthogonal systems. Comput. Math. Appl. 165 (2024)
Carsten Carstensen, Benedikt Gräßle, Neela Nataraj
Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation. CoRR (2023)
Carsten Carstensen, Neela Nataraj, Gopikrishnan Chirappurathu Remesan, Devika Shylaja
Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems. Numerische Mathematik 154 (3-4) (2023)
Carsten Carstensen, Benedikt Gräßle, Neela Nataraj
A posteriori error control for fourth-order semilinear problems with quadratic nonlinearity. CoRR (2023)
Wasim Akram, Debanjana Mitra, Neela Nataraj, Mythily Ramaswamy
Feedback stabilization of parabolic coupled system and its numerical study. CoRR (2023)
Carsten Carstensen, Neela Nataraj, Gopikrishnan Chirappurathu Remesan, Devika Shylaja
Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems. CoRR (2023)
Rekha Khot, Neela Nataraj, Nitesh Verma
Conforming VEM for general second-order elliptic problems with rough data on polygonal meshes and its application to a Poisson inverse source problem. CoRR (2023)
Carsten Carstensen, Neela Nataraj, Amiya Kumar Pani
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs. Numerische Mathematik 150 (4) (2022)
Carsten Carstensen, Neela Nataraj, Amiya Kumar Pani
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs. CoRR (2022)
Carsten Carstensen, Neela Nataraj
A priori and a posteriori error analysis of the Crouzeix-Raviart and Morley FEM with original and modified righthand sides. CoRR (2021)
Carsten Carstensen, Neela Nataraj
Lower-order equivalent nonstandard finite element methods for biharmonic plates. CoRR (2021)
Carsten Carstensen, Neela Nataraj
A Priori and a Posteriori Error Analysis of the Crouzeix-Raviart and Morley FEM with Original and Modified Right-Hand Sides. Comput. Methods Appl. Math. 21 (2) (2021)
Ruma Rani Maity, Apala Majumdar, Neela Nataraj
Parameter dependent finite element analysis for ferronematics solutions. CoRR (2021)
Ruma Rani Maity, Apala Majumdar, Neela Nataraj
Parameter dependent finite element analysis for ferronematics solutions. Comput. Math. Appl. 103 (2021)
Jérôme Droniou, Neela Nataraj, Devika Shylaja
Hessian discretisation method for fourth-order semi-linear elliptic equations: applications to the von Kármán and Navier-Stokes models. Adv. Comput. Math. 47 (2) (2021)
Carsten Carstensen, Neela Nataraj
Adaptive Morley FEM for the von Kármán Equations with Optimal Convergence Rates. SIAM J. Numer. Anal. 59 (2) (2021)
Sudipto Chowdhury, Neela Nataraj, Devika Shylaja
Morley FEM for a Distributed Optimal Control Problem Governed by the von Kármán Equations. Comput. Methods Appl. Math. 21 (1) (2021)
Sudipto Chowdhury, Asha K. Dond, Neela Nataraj, Devika Shylaja
A posteriori error analysis for a distributed optimal control problem governed by the von Kármán equations. CoRR (2021)
Ruma Rani Maity, Apala Majumdar, Neela Nataraj
Error Analysis of Nitsche's and Discontinuous Galerkin Methods of a Reduced Landau-de Gennes Problem. Comput. Methods Appl. Math. 21 (1) (2021)
Ruma Rani Maity, Apala Majumdar, Neela Nataraj
A priori and a posteriori error analysis for the Nitsche's method of a reduced Landau-de Gennes problem. CoRR (2020)
Carsten Carstensen, Sharat Gaddam, Neela Nataraj, Amiya Kumar Pani, Devika Shylaja
Morley Finite Element Method for the von Kármán Obstacle Problem. CoRR (2020)
Jérôme Droniou, Neela Nataraj, Devika Shylaja
Hessian discretisation method for fourth order semi-linear elliptic equations: applications to the von Kármán and Navier-Stokes models. CoRR (2020)
Jérôme Droniou, Neela Nataraj, Gopikrishnan Chirappurathu Remesan
Convergence analysis of a numerical scheme for a tumour growth model. CoRR (2019)
Ruma Rani Maity, Apala Majumdar, Neela Nataraj
Discontinuous Galerkin Finite Element Methods for the Landau-de Gennes Minimization Problem of Liquid Crystals. CoRR (2019)
Neela Nataraj
Presentation of the Special Issue on Recent Advances in PDE: Theory, Computations and Applications. Comput. Methods Appl. Math. 19 (2) (2019)
Carsten Carstensen, Neela Nataraj
Adaptive Morley FEM for the von Kármán equations with optimal convergence rates. CoRR (2019)
Jérôme Droniou, Neela Nataraj, Devika Shylaja
Numerical Analysis for the Pure Neumann Control Problem Using the Gradient Discretisation Method. Comput. Methods Appl. Math. 18 (4) (2018)
Carsten Carstensen, Asha K. Dond, Neela Nataraj, Amiya Kumar Pani
Three First-Order Finite Volume Element Methods for Stokes Equations under Minimal Regularity Assumptions. SIAM J. Numer. Anal. 56 (4) (2018)
Jérôme Droniou, Neela Nataraj, Devika Shylaja
The Gradient Discretization Method for Optimal Control Problems, with Superconvergence for Nonconforming Finite Elements and Mixed-Hybrid Mimetic Finite Differences. SIAM J. Control. Optim. 55 (6) (2017)
Asha K. Dond, Thirupathi Gudi, Neela Nataraj
A Nonconforming Finite Element Approximation for Optimal Control of an Obstacle Problem. Comput. Methods Appl. Math. 16 (4) (2016)
Carsten Carstensen, Asha K. Dond, Neela Nataraj, Amiya Kumar Pani
Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems. Numerische Mathematik 133 (3) (2016)
Gouranga Mallik, Neela Nataraj
Conforming finite element methods for the von Kármán equations. Adv. Comput. Math. 42 (5) (2016)
Saumya Bajpai, Neela Nataraj, Amiya Kumar Pani
On a two-grid finite element scheme for the equations of motion arising in Kelvin-Voigt model. Adv. Comput. Math. 40 (5-6) (2014)
Thirupathi Gudi, Neela Nataraj, Kamana Porwal
An interior penalty method for distributed optimal control problems governed by the biharmonic operator. Comput. Math. Appl. 68 (12) (2014)
Saumya Bajpai, Neela Nataraj
On a two-grid finite element scheme combined with Crank-Nicolson method for the equations of motion arising in the Kelvin-Voigt model. Comput. Math. Appl. 68 (12) (2014)
Nupur Gupta, Neela Nataraj
A dual weighted residual method for an optimal control problem of laser surface hardening of steel. Math. Comput. Simul. 103 (2014)
Nupur Gupta, Neela Nataraj
A posteriori error estimates for an optimal control problem of laser surface hardening of steel. Adv. Comput. Math. 39 (1) (2013)
Thirupathi Gudi, Hari Shanker Gupta, Neela Nataraj
Analysis of an Interior Penalty Method for Fourth Order Problems on Polygonal Domains. J. Sci. Comput. 54 (1) (2013)
Sangita Yadav, Amiya Kumar Pani, Neela Nataraj
Superconvergent Discontinuous Galerkin Methods for Linear Non-selfadjoint and Indefinite Elliptic Problems. J. Sci. Comput. 54 (1) (2013)
Baskar Shalini, P. K. Bhattacharyya, Neela Nataraj
A parallel implementation of a mixed-hybrid finite element method for anisotropic plate bending problems. Adv. Eng. Softw. 43 (1) (2012)
Sajid Memon, Neela Nataraj, Amiya Kumar Pani
An A Posteriori Error Analysis of Mixed Finite Element Galerkin Approximations to Second Order Linear Parabolic Problems. SIAM J. Numer. Anal. 50 (3) (2012)
Debasish Pradhan, Baskar Shalini, Neela Nataraj, Amiya Kumar Pani
A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems. Adv. Comput. Math. 34 (4) (2011)
Neela Nataraj
A mixed finite element method for fourth order eigenvalue problems. Appl. Math. Comput. 213 (1) (2009)
Thirupathi Gudi, Neela Nataraj, Amiya Kumar Pani
-Discontinuous Galerkin methods for strongly nonlinear elliptic boundary value problems. Numerische Mathematik 109 (2) (2008)
Thirupathi Gudi, Neela Nataraj, Amiya Kumar Pani
-local discontinuous Galerkin method for some quasilinear elliptic boundary value problems of nonmonotone type. Math. Comput. 77 (262) (2008)
T. Gnana Bhaskar, S. Hariharan, Neela Nataraj
Heatlet approach to diffusion equation on unbounded domains. Appl. Math. Comput. 197 (2) (2008)
Thirupathi Gudi, Neela Nataraj, Amiya Kumar Pani
Mixed Discontinuous Galerkin Finite Element Method for the Biharmonic Equation. J. Sci. Comput. 37 (2) (2008)
Kshitij Kulshreshtha, Neela Nataraj, Michael Jung
A parallel mixed finite element implementation of fourth-order plate bending problems in distributed memory environments. Appl. Math. Comput. 163 (1) (2005)
Kshitij Kulshreshtha, Neela Nataraj, Michael Jung
Performance of a parallel mixed finite element implementation for fourth order clamped anisotropic plate bending problems in distributed memory environments. Appl. Math. Comput. 155 (3) (2004)