- Thirupathi Gudi, HariShankar Gupta, and Neela Nataraj
Analysis of an Interior Penalty Method for Fourth Order Problems on Polygonal Domains.
*Accepted for publication in Journal of Scientific Computing*(2012) - Sangita Yadav, Amiya K. Pani, and Neela Nataraj,
Superconvergent discontinuous Galerkin methods for linear non-selfadjoint and indefinite elliptic problems.
*Accepted for publication in Journal of Scientific Computing*(2012) - Saumya Bajpai, Neela Nataraj, Amiya K. Pani, Pedro Damazio, and Jin Yun Yuan,
Semidiscrete galerkin method for equations of motion arising in Kelvin-Voigt model of viscoelastic fluid flow.
*Accepted for publication in Numerical Methods for Partial Differential Equations*(2012) - Saumya Bajpai, Neela Nataraj and Amiya K. Pani, On fully Discrete
finite element schemes for equations of motion arising to Kelvin-Voigt fluids.
*Accepted for publication in International Journal of Numerical Analysis and Modeling*(2012) - Sajid Memon, Neela Nataraj and A.K.Pani, An a posteriori error analysis of mixed finite element Galerkin
approximations to second order linear parabolic problems.
*Accepted for publication in SIAM Journal of Numerical Analysis*(2012) - Nupur Gupta and Neela Nataraj, A posteriori error estimates for an optimal control problem of laser surface hardening of
steel,
*Advances in Computational MAthematics*DOI: 10.1007/s10444-011-9270-8 (2012) - Nupur Gupta and Neela Nataraj,
An hp discontinuous Galerkin method for the optimal control problem of laser surface hardening of steel
*Mathematical Modelling and Numerical Analysis (M*45, pp. 1081-1113 (2012)^{2}AN) - Shalini Bhaskar, Neela Nataraj, and P.K. Bhattacharyya, A parallel
mixed-hybid finite element method for anisotropic plate bending
problems.
*Advances in Engineering Software*43(1), pp. 87-95 (2011) - Debasish Pradhan, Shalini Bhaskar, Neela Nataraj, Amiya K.
Pani, A Robin type non-overlapping domain decomposition procedure
for second order elliptic problems
*Advances in Computational Mathematics*34(4), pp. 339-368 (2011) - Nupur Gupta, Neela Nataraj, Amiya K. Pani, On the optimal
control problem of laser surface hardening,
*International Journal of Numerical Analysis and Modeling*7(4), 667-680 (2010) - Sarvesh Kumar, Neela Nataraj and Amiya K. Pani. Discontinuous
Galerkin finite volume element methods for second order elliptic
problems,
*Numerical Methods for Partial Differential Equations*25(6), 1402-1424 (2009) - Neela Nataraj. A mixed finite element method for fourth order
eigenvalue problems,
*Applied Mathematics and Computation*213 (1), 60-72 (2009) - Thirupathi Gudi, Neela Nataraj and Amiya K. Pani. On 3#3
error estimate for non-symmetric interior penalty Galerkin
approximation to linear elliptic problems with nonhomogeneous
Dirichlet data,
*Journal of Computational and Applied Mathematics*, 228 (1) 30-40, (2009) - Ajit Patel, Amiya K. Pani, Neela Nataraj, Mortar element methods
for parabolic problems,
*Numerical Methods for Partial Differential Equations*, 24(6) 1460-1484, (2008) - Thirupathi Gudi, Neela Nataraj and Amiya K. Pani. Mixed
discontinuous Galerkin method for the biharmonic equation,
*Journal of Scientific Computing*, 37 ( 2 ), 139-161, (2008) - Thirupathi Gudi, Neela Nataraj and Amiya K. Pani. An hp-local
discontinuous Galerkin method for some quasilinear elliptic boundary
value problems of non-monotone type,
*Mathematics of Computation*, 77, 731-756 (2008) - Debasish Pradhan, Neela Nataraj, Amiya K. Pani, An
explicit/implicit Galerkin domain decomposition procedure for
parabolic integro-differential equations,
*Journal of Applied Mathematics and Computation*, 28 (1-2), 295-311, (2008) - Pritam S.Mantri, Neela Nataraj, A.K.Pani. A qualocation method
for Burger's equation,
*Journal of Computational and Applied Mathematics*, 213, 1-13 (2008). - Sarvesh Kumar, Neela Nataraj, Amiya K. Pani, The finite volume
element method for second order hyperbolic equation,
*International Journal of Numerical Analysis and Modeling*, 5, 132-151, (2008) - Thirupathi Gudi, Neela Nataraj and Amiya K. Pani, hp-discontinuous
Galerkin Methods for strongly non-linear elliptic boundary value
problems,
*Numerische Mathematik*, 109, 2, 233-268, (2008) - T. Gnana Bhaskar, S. Hariharan, Neela Nataraj, Heatlet approach to
diffusion equation on unbounded domains,
*Applied Mathematics and Computation*, 197 (2), 891-903, (2008) - Ambit K. Pany, Neela Nataraj, Sangita Singh. A new mixed finite
element method for Burgers' equation,
*Journal of Applied Mathematics and Computing*23, 43-55 (2007) - Kshitij Kulsreshtha, Neela Nataraj. A parallel mixed finite
element implementation for approximation of eigenvalues and
eigenvectors of fourth order eigenvalue problems. (Short
Communication)
*Journal of Sound and Vibration*, 285, 1242-1254 (2005) - Kshitij Kulsreshtha, Neela Nataraj and Michael Jung .A parallel
mixed finite element implementation of fourth order plate bending
problems in distributed memory environments.
*Applied Mathematics and Computation*, 163, 253-274 (2005) - Kshitij Kulsreshtha, Neela Nataraj and Michael Jung .
Performance of a parallel mixed finite element implemenatation for
fourth order clamped anisotropic plate bending problems in
distributed memory environments,
*Applied Mathematics and Computation*, 155, 753-777 (2004) - P.K.Bhattacharyya , Neela Nataraj. Error Estimates for
isoparametric mixed finite element solution of fourth order
elliptic problems with variable coefficients,
*Computational Mechanics*, 28, No.6, 435-455 (2002) - P.K.Bhattacharyya , Neela Nataraj. Isoparametric mixed finite
element approximation of eigenvalues and eigenvectors of fourth
order eigenvalue problems with variable coefficients,
*Mathematical Modelling and Numerical Analysis (M4#4AN)*,36, 1-32 (2002) - P.K.Bhattacharyya , Neela Nataraj. On combined effect of
boundary approximation and numerical integration on mixed finite
element solution of fourth order elliptic problems with variable
coefficients,
*Mathematical Modelling and Numerical Analysis (M4#4AN)*, 807-836, 33, 4 (1999) - Neela Nataraj, P.K. Bhattacharyya, S.Balasundaram,
S.Gopalsamy. On a mixed hybrid finite element method for anisotropic
plate bending problems,
*International Journal of Numerical Methods in Engineering*, 39 (23) 4063-4089 ( 1996)

- Nupur Gupta, Neela Nataraj, A Dual Weighted Residual Method for an
Optimal Control Problem of Laser Surface Hardening of Steel.
- Carsten Carstensen, Dietmar Gallistl and Neela Nataraj, Comparison
Results of non standard P
_{2}Finite Element Methods for the Biharmonic Problem. - Saumya Bajpai, Neela Nataraj and Amiya K. Pani, On a two-grid finite element scheme for the
equations of motion arising in Kelvin-Voigt model.

- Carsten Carstensen, Asha K. Dond, Neela Nataraj and Amiya K. Pani, A posteriori mixed finite element error analysis for non-self adjoint and indefinite elliptic problems.

- Sarvesh Kumar, Neela Nataraj and Amiya K. Pani, Finite volume
element method for the incompressible miscible displacement problems in
porous media, PAMM. Proc. Appl. Math. Mech. 7, 2020015-2020016 (2007)
/DOI 10.1002/pamm.200700090
- Neela Nataraj and Ambit Kumar Pany, An H6#6-Galerkin mixed finite
element method for linear and nonlinear parabolic problems, Proceedings
of the Conference on Differential and Difference Equations and
Application, Hindavi Publishing Corporation, 851-860 (2006)
- Neela Nataraj, A mixed finite element method for fourth order
eigenvalue problems, Proc. Appl. Math. Mech. (PAMM) 4, 358-359 (2004)
- Kshitij Kulsreshtha, Neela Nataraj and Michael Jung,
Performance of a mixed finite element implemenatation for fourth
order clamped anisotropic plate bending problems in SIMDdistributed
memory environments, Proceedings of ICIWIM 2002, IIT Bombay.

- P.K.Bhattacharyya , Neela Nataraj. Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of fourth order eigenvalue problems with variable coefficients, Research Report No. R 98021, Laboratory of Pierre and Marie Curie University of Paris, Paris (1998).