Publications

  1. 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)

  2. 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)

  3. 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)

  4. 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)

  5. 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)

  6. 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)

  7. 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 (M2AN) 45, pp. 1081-1113 (2012)

  8. 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)

  9. 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)

  10. 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)

  11. 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)

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

  13. 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)

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

  15. 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)

  16. 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)

  17. 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)

  18. 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).

  19. 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)

  20. 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)

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

  22. 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)

  23. 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)

  24. 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)

  25. 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)

  26. 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)

  27. 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)

  28. 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)

  29. 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)

Papers Communicated

  1. Nupur Gupta, Neela Nataraj, A Dual Weighted Residual Method for an Optimal Control Problem of Laser Surface Hardening of Steel.

  2. Carsten Carstensen, Dietmar Gallistl and Neela Nataraj, Comparison Results of non standard P2 Finite Element Methods for the Biharmonic Problem.

  3. 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.

Papers under Preparation

  1. 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.

Conference Publications

  1. 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

  2. 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)

  3. Neela Nataraj, A mixed finite element method for fourth order eigenvalue problems, Proc. Appl. Math. Mech. (PAMM) 4, 358-359 (2004)

  4. 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.

Research Report

  1. 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).