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Carstensen, Carsten ; Nataraj, Neela (2021) Adaptive Morley FEM for the von Kármán Equations with Optimal Convergence Rates SIAM Journal on Numerical Analysis, 59 (2). pp. 696-719. ISSN 0036-1429

Droniou, Jérôme ; Nataraj, Neela ; Remesan, Gopikrishnan C (2021) Convergence analysis of a numerical scheme for a tumour growth model IMA Journal of Numerical Analysis . ISSN 0272-4979

Droniou, Jérome ; Nataraj, Neela ; Shylaja, Devika (2021) Hessian discretisation method for fourth-order semi-linear elliptic equations: applications to the von Kármán and Navier–Stokes models Advances in Computational Mathematics, 47 (2). ISSN 1019-7168

Carstensen, C. ; Nataraj, Neela (2021) A priori and a posteriori error analysis of the Crouzeix-Raviart and Morley FEM with original and modified righthand sides Computational Methods in Applied Mathematics, 21 (2). pp. 289-315. ISSN 1609-9389

Maity, Ruma Rani ; Majumdar, Apala ; Nataraj, Neela (2020) Discontinuous Galerkin finite element methods for the Landau–de Gennes minimization problem of liquid crystals IMA Journal of Numerical Analysis, 41 (2). pp. 1130-1163. ISSN 0272-4979

Maity, Ruma Rani ; Majumdar, Apala ; Nataraj, Neela (2020) Error Analysis of Nitsche’s and Discontinuous Galerkin Methods of a Reduced Landau–de Gennes Problem Computational Methods in Applied Mathematics, 21 (1). pp. 179-209. ISSN 1609-4840

Chowdhury, Sudipto ; Nataraj, Neela ; Shylaja, Devika (2020) Morley FEM for a Distributed Optimal Control Problem Governed by the von Kármán Equations Computational Methods in Applied Mathematics, 21 (1). pp. 233-262. ISSN 1609-4840

Carstensen, Carsten ; Mallik, Gouranga ; Nataraj, Neela (2020) Nonconforming finite element discretization for semilinear problems with trilinear nonlinearity IMA Journal of Numerical Analysis, 41 (1). pp. 164-205. ISSN 0272-4979

Nataraj, Neela ; Vasudeva Murthy, A. S. (2019) Finite element methods: Research in India over the last decade Indian Journal of Pure and Applied Mathematics, 50 (3). pp. 739-765. ISSN 0019-5588

Mallik, Gouranga ; Nataraj, Neela ; Raymond, Jean-Pierre (2018) Error estimates for the numerical approximation of a distributed optimal control problem governed by the von Kármán equations ESAIM: Mathematical Modelling and Numerical Analysis, 52 (3). pp. 1137-1172. ISSN 0764-583X

Carstensen, Carsten ; Dond, Asha K. ; Nataraj, Neela ; Pani, Amiya K. (2018) Three First-Order Finite Volume Element Methods for Stokes Equations under Minimal Regularity Assumptions SIAM Journal on Numerical Analysis, 56 (4). pp. 2648-2671. ISSN 0036-1429

Carstensen, Carsten ; Mallik, Gouranga ; Nataraj, Neela (2018) A priori and a posteriori error control of discontinuous Galerkin finite element methods for the von Kármán equations IMA Journal of Numerical Analysis, 39 (1). pp. 167-200. ISSN 0272-4979

Droniou, Jérome ; Nataraj, Neela ; Shylaja, Devika (2017) The Gradient Discretization Method for Optimal Control Problems, with Superconvergence for Nonconforming Finite Elements and Mixed-Hybrid Mimetic Finite Differences SIAM Journal on Control and Optimization, 55 (6). pp. 3640-3672. ISSN 0363-0129

Droniou, Jérôme ; Nataraj, Neela (2017) Improved L² estimate for gradient schemes and super-convergence of the TPFA finite volume scheme IMA Journal of Numerical Analysis, 38 (3). pp. 1254-1293. ISSN 0272-4979

Droniou, Jérome ; Nataraj, Neela ; Shylaja, Devika (2017) Numerical Analysis for the Pure Neumann Control Problem Using the Gradient Discretisation Method Computational Methods in Applied Mathematics, 18 (4). pp. 609-637. ISSN 1609-4840

Mallik, Gouranga ; Nataraj, Neela (2016) Conforming finite element methods for the von Kármán equations Advances in Computational Mathematics, 42 (5). pp. 1031-1054. ISSN 1019-7168

Dond, Asha K. ; Nataraj, Neela ; Pani, Amiya Kumar (2016) Convergence of an adaptive lowest-order Raviart–Thomas element method for general second-order linear elliptic problems IMA Journal of Numerical Analysis, 37 (2). pp. 832-860. ISSN 0272-4979

Carstensen, Carsten ; Dond, Asha K. ; Nataraj, Neela ; Pani, Amiya K. (2016) Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems Numerische Mathematik, 133 (3). pp. 557-597. ISSN 0029-599X

Dond, Asha K. ; Gudi, Thirupathi ; Nataraj, Neela (2016) A Nonconforming Finite Element Approximation for Optimal Control of an Obstacle Problem Computational Methods in Applied Mathematics, 16 (4). pp. 653-666. ISSN 1609-4840

Mallik, Gouranga ; Nataraj, Neela (2016) A Nonconforming Finite Element Approximation for the von Karman equations ESAIM: Mathematical Modelling and Numerical Analysis, 50 (2). pp. 433-454. ISSN 0764-583X

Carstensen, Carsten ; Gallistl, Dietmar ; Nataraj, Neela (2015) Comparison Results of Nonstandard P₂ Finite Element Methods for the Biharmonic Problem ESAIM: Mathematical Modelling and Numerical Analysis, 49 (4). pp. 977-990. ISSN 0764-583X

Carstensen, Carsten ; Nataraj, Neela ; Pani, Amiya K. (2015) Comparison results and unified analysis for first-order finite volume element methods for a Poisson model problem IMA Journal of Numerical Analysis, 36 (3). pp. 1120-1142. ISSN 0272-4979

Mallik, Gouranga ; Nataraj, Neela (2015) Conforming and nonconforming finite element methods for canonical von Kármán equations International Journal of Advances in Engineering Sciences and Applied Mathematics, 7 (3). pp. 86-95. ISSN 0975-0770

Bajpai, S. ; Nataraj, N. (2014) On a two-grid finite element scheme combined with Crank–Nicolson method for the equations of motion arising in the Kelvin–Voigt model Computers & Mathematics with Applications, 68 (12). pp. 2277-2291. ISSN 0898-1221

Bajpai, Saumya ; Nataraj, Neela ; Pani, Amiya K. (2014) On a two-grid finite element scheme for the equations of motion arising in Kelvin-Voigt model Advances in Computational Mathematics, 40 (5-6). pp. 1043-1071. ISSN 1019-7168

Gupta, Nupur ; Nataraj, Neela (2014) A dual weighted residual method for an optimal control problem of laser surface hardening of steel Mathematics and Computers in Simulation, 103 . pp. 12-32. ISSN 0378-4754

Gudi, Thirupathi ; Nataraj, Neela ; Porwal, Kamana (2014) An interior penalty method for distributed optimal control problems governed by the biharmonic operator Computers & Mathematics with Applications, 68 (12). pp. 2205-2221. ISSN 0898-1221

Gudi, Thirupathi ; Gupta, Hari Shanker ; Nataraj, Neela (2013) Analysis of an Interior Penalty Method for Fourth Order Problems on Polygonal Domains Journal of Scientific Computing, 54 (1). pp. 177-199. ISSN 0885-7474

Bhaskar, T. ; S, Hariharan ; Nataraj, Neela (2013) Heatlet approach to diffusion equation on a semi-infinite region Neural, Parallel and Scientific Computations, 21 (3-4). pp. 375-392. ISSN 1061-5369

Bajpai, S. ; Nataraj, Neela ; Pani, A. (2013) On Fully Discrete Finite Element Schemes For Equations Of Motion Of Kelvin-voigt Fluids International Journal of Numerical Analysis and Modeling, 10 (2). pp. 481-507. ISSN 1705-5105

Yadav, Sangita ; Pani, Amiya K. ; Nataraj, Neela (2013) Superconvergent Discontinuous Galerkin Methods for Linear Non-selfadjoint and Indefinite Elliptic Problems Journal of Scientific Computing, 54 (1). pp. 45-76. ISSN 0885-7474

Gupta, Nupur ; Nataraj, Neela (2013) A posteriori error estimates for an optimal control problem of laser surface hardening of steel Advances in Computational Mathematics, 39 (1). pp. 69-99. ISSN 1019-7168

Memon, Sajid ; Nataraj, Neela ; Pani, Amiya Kumar (2012) An A Posteriori Error Analysis of Mixed Finite Element Galerkin Approximations to Second Order Linear Parabolic Problems SIAM Journal on Numerical Analysis, 50 (3). pp. 1367-1393. ISSN 0036-1429

Bajpai, Saumya ; Nataraj, Neela ; Pani, Amiya K. ; Damazio, Pedro ; Yuan, Jin Yun (2012) Semidiscrete Galerkin method for equations of motion arising in Kelvin-Voigt model of viscoelastic fluid flow Numerical Methods for Partial Differential Equations, 29 (3). pp. 857-883. ISSN 0749-159X

Shalini, Baskar ; Bhattacharyya, P.K. ; Nataraj, Neela (2012) A parallel implementation of a mixed-hybrid finite element method for anisotropic plate bending problems Advances in Engineering Software, 43 (1). pp. 87-95. ISSN 0965-9978

Pradhan, Debasish ; Shalini, Baskar ; Nataraj, Neela ; Pani, Amiya K. (2011) A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems Advances in Computational Mathematics, 34 (4). pp. 339-368. ISSN 1019-7168

Nupur, Gupta ; Neela, Nataraj (2011) An hp-Discontinuous Galerkin Method for the Optimal Control Problem of Laser Surface Hardening of Steel ESAIM: Mathematical Modelling and Numerical Analysis, 45 (6). pp. 1081-1113. ISSN 0764-583X

Gupta, Nupur ; Nataraj, Neela ; Pani, A. (2010) On The Optimal Control Problem Of Laser Surface Hardening International Journal of Numerical Analysis and Modeling, 7 (4). pp. 667-680. ISSN 1705-5105

Kumar, Sarvesh ; Nataraj, Neela ; Pani, Amiya K. (2009) Discontinuous Galerkin finite volume element methods for second-order linear elliptic problems Numerical Methods for Partial Differential Equations, 25 (6). pp. 1402-1424. ISSN 0749-159X

Gudi, Thirupathi ; Nataraj, Neela ; Pani, Amiya K. (2009) On L²-error estimate for nonsymmetric interior penalty Galerkin approximation to linear elliptic problems with nonhomogeneous Dirichlet data Journal of Computational and Applied Mathematics, 228 (1). pp. 30-40. ISSN 0377-0427

Nataraj, Neela (2009) A mixed finite element method for fourth order eigenvalue problems Applied Mathematics and Computation, 213 (1). pp. 60-72. ISSN 0096-3003

Kumar, S. ; Nataraj, N. ; Pani, A. K. (2008) Finite Volume Element Method for Second Order Hyperbolic Equations International Journal of Numerical Analysis and Modeling, 5 (1). pp. 132-151. ISSN 1705-5105

Gnana Bhaskar, T. ; Hariharan, S. ; Nataraj, Neela (2008) Heatlet approach to diffusion equation on unbounded domains Applied Mathematics and Computation, 197 (2). pp. 891-903. ISSN 0096-3003

Gudi, Thirupathi ; Nataraj, Neela ; Pani, Amiya K. (2008) Mixed Discontinuous Galerkin Finite Element Method for the Biharmonic Equation Journal of Scientific Computing, 37 (2). pp. 139-161. ISSN 0885-7474

Patel, Ajit ; Pani, Amiya K. ; Nataraj, Neela (2008) Mortar element methods for parabolic problems Numerical Methods for Partial Differential Equations, 24 (6). pp. 1460-1484. ISSN 0749-159X

Pradhan, Debasish ; Nataraj, Neela ; Pani, Amiya K. (2008) An explicit/implicit Galerkin domain decomposition procedure for parabolic integro-differential equations Journal of Applied Mathematics and Computing, 28 (1-2). pp. 295-311. ISSN 1598-5865

Gudi, Thirupathi ; Nataraj, Neela ; Pani, Amiya K. (2008) hp-Discontinuous Galerkin methods for strongly nonlinear elliptic boundary value problems Numerische Mathematik, 109 (2). pp. 233-268. ISSN 0029-599X

Gudi, Thirupathi ; Nataraj, Neela ; Pani, Amiya K. (2008) An hp-Local Discontinuous Galerkin Method for Some Quasilinear Elliptic Boundary Value Problems of Nonmonotone Type Mathematics of computation, 77 (262). pp. 731-756. ISSN 0025-5718

Mantri, Pritam S. ; Nataraj, Neela ; Pani, Amiya K. (2008) A qualocation method for Burgers’ equation Journal of Computational and Applied Mathematics, 213 (1). pp. 1-13. ISSN 0377-0427

Kumar, Sarvesh ; Nataraj, Neela ; Pani, Amiya K. (2007) Finite volume element method for the incompressible miscible displacement problems in porous media PAMM, 7 (1). pp. 2020015-2020016. ISSN 1617-7061

Pany, Ambit kumar ; Nataraj, Neela ; Singh, Sangita (2007) A new mixed finite element method for Burgers’ equation Journal of Applied Mathematics and Computing, 23 (1-2). pp. 43-55. ISSN 1598-5865

Kulshreshtha, Kshitij ; Nataraj, Neela (2005) A parallel mixed finite element implementation for approximation of eigenvalues and eigenvectors of fourth-order eigenvalue problems Journal of Sound and Vibration, 285 (4-5). pp. 1242-1254. ISSN 0022-460X

Kulshreshtha, Kshitij ; Nataraj, Neela ; Jung, Michael (2005) A parallel mixed finite element implementation of fourth-order plate bending problems in distributed memory environments Applied Mathematics and Computation, 163 (1). pp. 253-274. ISSN 0096-3003

Nataraj, Neela (2004) A Mixed Finite Element Method for Fourth Order Eigenvalue Problems PAMM, 4 (1). pp. 358-359. ISSN 1617-7061

Kulshreshtha, Kshitij ; Nataraj, Neela ; Jung, Michael (2004) Performance of a parallel mixed finite element implementation for fourth order clamped anisotropic plate bending problems in distributed memory environments Applied Mathematics and Computation, 155 (3). pp. 753-777. ISSN 0096-3003

Bhattacharyya, P. K. ; Nataraj, N. (2002) Error estimates for isoparametric mixed finite element solution of 4th order elliptic problems with variable coefficients Computational Mechanics, 28 (6). pp. 435-455. ISSN 0178-7675

Bhattacharyya, Pulin Kumar ; Nataraj, Neela (2002) Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients ESAIM: Mathematical Modelling and Numerical Analysis, 36 (1). pp. 1-32. ISSN 0764-583X

Bhattacharyya, Pulin K. ; Nataraj, Neela (1999) On the combined effect of boundary approximation and numerical integration on mixed finite element solution of 4th order elliptic problems with variable coefficients ESAIM: Mathematical Modelling and Numerical Analysis, 33 (4). pp. 807-836. ISSN 0764-583X

NATARAJ, N. ; BHATTACHARYYA, P. K. ; BALASUNDARAM, S. ; GOPALSAMY, S. (1996) On A Mixed-hybrid Finite Element Method For Anisotropic Plate Bending Problems International Journal for Numerical Methods in Engineering, 39 (23). pp. 4063-4089. ISSN 0029-5981