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Neela Nataraj
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2020 – today
- 2024
- [j36]Avijit Das
, Bishnu P. Lamichhane
A unified mixed finite element method for fourth-order time-dependent problems using biorthogonal systems. Comput. Math. Appl. 165: 52-69 (2024) - [j35]Asha K. Dond
Convergence of Adaptive Crouzeix-Raviart and Morley FEM for Distributed Optimal Control Problems. Comput. Methods Appl. Math. 24(3): 599-622 (2024) - [j34]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): 77- (2024) - [j33]Carsten Carstensen, Benedikt Gräßle, Neela Nataraj:
A Posteriori Error Control for Fourth-Order Semilinear Problems with Quadratic Nonlinearity. SIAM J. Numer. Anal. 62(2): 919-945 (2024) - [i18]Shantiram Mahata, Neela Nataraj, Jean-Pierre Raymond:
Lowest-order Nonstandard Finite Element Methods for Time-Fractional Biharmonic Problem. CoRR abs/2405.11339 (2024) - [i17]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 abs/2407.03777 (2024) - 2023
- [j32]Carsten Carstensen, Neela Nataraj, Gopikrishnan Chirappurathu Remesan
Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems. Numerische Mathematik 154(3-4): 323-368 (2023) - [i16]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 abs/2302.08718 (2023) - [i15]Wasim Akram
Feedback stabilization of parabolic coupled system and its numerical study. CoRR abs/2303.11067 (2023) - [i14]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 abs/2305.06171 (2023) - [i13]Carsten Carstensen, Benedikt Gräßle, Neela Nataraj:
A posteriori error control for fourth-order semilinear problems with quadratic nonlinearity. CoRR abs/2309.08427 (2023) - [i12]Carsten Carstensen, Benedikt Gräßle, Neela Nataraj:
Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation. CoRR abs/2310.05648 (2023) - 2022
- [j31]Carsten Carstensen, Neela Nataraj, Amiya Kumar Pani:
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs. Numerische Mathematik 150(4): 975-992 (2022) - [i11]Carsten Carstensen, Neela Nataraj, Amiya Kumar Pani:
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs. CoRR abs/2203.02716 (2022) - 2021
- [j30]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): 20 (2021) - [j29]Ruma Rani Maity
Parameter dependent finite element analysis for ferronematics solutions. Comput. Math. Appl. 103: 127-155 (2021) - [j28]Ruma Rani Maity
Error Analysis of Nitsche's and Discontinuous Galerkin Methods of a Reduced Landau-de Gennes Problem. Comput. Methods Appl. Math. 21(1): 179-209 (2021) - [j27]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): 233-262 (2021) - [j26]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): 289-315 (2021) - [j25]Carsten Carstensen, Neela Nataraj:
Adaptive Morley FEM for the von Kármán Equations with Optimal Convergence Rates. SIAM J. Numer. Anal. 59(2): 696-719 (2021) - [i10]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 abs/2102.08117 (2021) - [i9]Carsten Carstensen, Neela Nataraj:
Lower-order equivalent nonstandard finite element methods for biharmonic plates. CoRR abs/2102.08125 (2021) - [i8]Ruma Rani Maity, Apala Majumdar, Neela Nataraj:
Parameter dependent finite element analysis for ferronematics solutions. CoRR abs/2106.12461 (2021) - [i7]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 abs/2107.04804 (2021) - 2020
- [i6]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 abs/2004.09842 (2020) - [i5]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 abs/2005.14215 (2020) - [i4]Carsten Carstensen, Sharat Gaddam, Neela Nataraj, Amiya Kumar Pani, Devika Shylaja:
Morley Finite Element Method for the von Kármán Obstacle Problem. CoRR abs/2009.03205 (2020)
2010 – 2019
- 2019
- [j24]Neela Nataraj:
Presentation of the Special Issue on Recent Advances in PDE: Theory, Computations and Applications. Comput. Methods Appl. Math. 19(2): 165-167 (2019) - [i3]Ruma Rani Maity, Apala Majumdar, Neela Nataraj:
Discontinuous Galerkin Finite Element Methods for the Landau-de Gennes Minimization Problem of Liquid Crystals. CoRR abs/1907.06847 (2019) - [i2]Carsten Carstensen, Neela Nataraj:
Adaptive Morley FEM for the von Kármán equations with optimal convergence rates. CoRR abs/1908.08013 (2019) - [i1]Jérôme Droniou, Neela Nataraj, Gopikrishnan Chirappurathu Remesan:
Convergence analysis of a numerical scheme for a tumour growth model. CoRR abs/1910.07768 (2019) - 2018
- [j23]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): 609-637 (2018) - [j22]Carsten Carstensen, Asha K. Dond
Three First-Order Finite Volume Element Methods for Stokes Equations under Minimal Regularity Assumptions. SIAM J. Numer. Anal. 56(4): 2648-2671 (2018) - 2017
- [j21]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): 3640-3672 (2017) - 2016
- [j20]Gouranga Mallik
Conforming finite element methods for the von Kármán equations. Adv. Comput. Math. 42(5): 1031-1054 (2016) - [j19]Asha K. Dond
A Nonconforming Finite Element Approximation for Optimal Control of an Obstacle Problem. Comput. Methods Appl. Math. 16(4): 653-666 (2016) - [j18]Carsten Carstensen, Asha K. Dond
Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems. Numerische Mathematik 133(3): 557-597 (2016) - 2014
- [j17]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): 1043-1071 (2014) - [j16]Thirupathi Gudi
An interior penalty method for distributed optimal control problems governed by the biharmonic operator. Comput. Math. Appl. 68(12): 2205-2221 (2014) - [j15]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): 2277-2291 (2014) - [j14]Nupur Gupta, Neela Nataraj:
A dual weighted residual method for an optimal control problem of laser surface hardening of steel. Math. Comput. Simul. 103: 12-32 (2014) - 2013
- [j13]Nupur Gupta, Neela Nataraj:
A posteriori error estimates for an optimal control problem of laser surface hardening of steel. Adv. Comput. Math. 39(1): 69-99 (2013) - [j12]Sangita Yadav, Amiya Kumar Pani, Neela Nataraj:
Superconvergent Discontinuous Galerkin Methods for Linear Non-selfadjoint and Indefinite Elliptic Problems. J. Sci. Comput. 54(1): 45-76 (2013) - [j11]Thirupathi Gudi
Analysis of an Interior Penalty Method for Fourth Order Problems on Polygonal Domains. J. Sci. Comput. 54(1): 177-199 (2013) - 2012
- [j10]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): 87-95 (2012) - [j9]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): 1367-1393 (2012) - 2011
- [j8]Debasish Pradhan
A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems. Adv. Comput. Math. 34(4): 339-368 (2011)
2000 – 2009
- 2009
- [j7]Neela Nataraj:
A mixed finite element method for fourth order eigenvalue problems. Appl. Math. Comput. 213(1): 60-72 (2009) - 2008
- [j6]T. Gnana Bhaskar, S. Hariharan
Heatlet approach to diffusion equation on unbounded domains. Appl. Math. Comput. 197(2): 891-903 (2008) - [j5]Thirupathi Gudi
Mixed Discontinuous Galerkin Finite Element Method for the Biharmonic Equation. J. Sci. Comput. 37(2): 139-161 (2008) - [j4]Thirupathi Gudi
An hp-local discontinuous Galerkin method for some quasilinear elliptic boundary value problems of nonmonotone type. Math. Comput. 77(262): 731-756 (2008) - [j3]Thirupathi Gudi
hp-Discontinuous Galerkin methods for strongly nonlinear elliptic boundary value problems. Numerische Mathematik 109(2): 233-268 (2008) - 2005
- [j2]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): 253-274 (2005) - 2004
- [j1]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): 753-777 (2004)
Coauthor Index
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