Neela Nataraj
Orcid: 0000-0002-5180-459X
  According to our database1,
  Neela Nataraj
  authored at least 49 papers
  between 2004 and 2025.
  
  
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Bibliography
  2025
Semi and Fully Discrete Analysis of Extended Fisher-Kolmogorov Equation with Nonstandard FEMs for Space Discretisation.
    
  
    J. Sci. Comput., July, 2025
    
  
Unified numerical analysis for thermoelastic diffusion and thermo-poroelasticity of thin plates.
    
  
    CoRR, June, 2025
    
  
  2024
Convergence of Adaptive Crouzeix-Raviart and Morley FEM for Distributed Optimal Control Problems.
    
  
    Comput. Methods Appl. Math., July, 2024
    
  
Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation.
    
  
    J. Num. Math., March, 2024
    
  
A Posteriori Error Control for Fourth-Order Semilinear Problems with Quadratic Nonlinearity.
    
  
    SIAM J. Numer. Anal., 2024
    
  
Semi and fully-discrete analysis of lowest-order nonstandard finite element methods for the biharmonic wave problem.
    
  
    CoRR, 2024
    
  
Lowest-order Nonstandard Finite Element Methods for Time-Fractional Biharmonic Problem.
    
  
    CoRR, 2024
    
  
A unified mixed finite element method for fourth-order time-dependent problems using biorthogonal systems.
    
  
    Comput. Math. Appl., 2024
    
  
  2023
Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems.
    
  
    Numerische Mathematik, August, 2023
    
  
    CoRR, 2023
    
  
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
    
  
  2022
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs.
    
  
    Numerische Mathematik, 2022
    
  
  2021
    SIAM J. Numer. Anal., 2021
    
  
A posteriori error analysis for a distributed optimal control problem governed by the von Kármán equations.
    
  
    CoRR, 2021
    
  
    CoRR, 2021
    
  
A priori and a posteriori error analysis of the Crouzeix-Raviart and Morley FEM with original and modified righthand sides.
    
  
    CoRR, 2021
    
  
Error Analysis of Nitsche's and Discontinuous Galerkin Methods of a Reduced Landau-de Gennes Problem.
    
  
    Comput. Methods Appl. Math., 2021
    
  
Morley FEM for a Distributed Optimal Control Problem Governed by the von Kármán Equations.
    
  
    Comput. Methods Appl. Math., 2021
    
  
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., 2021
    
  
    Comput. Math. Appl., 2021
    
  
Hessian discretisation method for fourth-order semi-linear elliptic equations: applications to the von Kármán and Navier-Stokes models.
    
  
    Adv. Comput. Math., 2021
    
  
  2020
A priori and a posteriori error analysis for the Nitsche's method of a reduced Landau-de Gennes problem.
    
  
    CoRR, 2020
    
  
  2019
Discontinuous Galerkin Finite Element Methods for the Landau-de Gennes Minimization Problem of Liquid Crystals.
    
  
    CoRR, 2019
    
  
Presentation of the Special Issue on Recent Advances in PDE: Theory, Computations and Applications.
    
  
    Comput. Methods Appl. Math., 2019
    
  
  2018
Three First-Order Finite Volume Element Methods for Stokes Equations under Minimal Regularity Assumptions.
    
  
    SIAM J. Numer. Anal., 2018
    
  
Numerical Analysis for the Pure Neumann Control Problem Using the Gradient Discretisation Method.
    
  
    Comput. Methods Appl. Math., 2018
    
  
  2017
The Gradient Discretization Method for Optimal Control Problems, with Superconvergence for Nonconforming Finite Elements and Mixed-Hybrid Mimetic Finite Differences.
    
  
    SIAM J. Control. Optim., 2017
    
  
  2016
Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems.
    
  
    Numerische Mathematik, 2016
    
  
A Nonconforming Finite Element Approximation for Optimal Control of an Obstacle Problem.
    
  
    Comput. Methods Appl. Math., 2016
    
  
    Adv. Comput. Math., 2016
    
  
  2014
A dual weighted residual method for an optimal control problem of laser surface hardening of steel.
    
  
    Math. Comput. Simul., 2014
    
  
An interior penalty method for distributed optimal control problems governed by the biharmonic operator.
    
  
    Comput. Math. Appl., 2014
    
  
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., 2014
    
  
On a two-grid finite element scheme for the equations of motion arising in Kelvin-Voigt model.
    
  
    Adv. Comput. Math., 2014
    
  
  2013
Superconvergent Discontinuous Galerkin Methods for Linear Non-selfadjoint and Indefinite Elliptic Problems.
    
  
    J. Sci. Comput., 2013
    
  
Analysis of an Interior Penalty Method for Fourth Order Problems on Polygonal Domains.
    
  
    J. Sci. Comput., 2013
    
  
A posteriori error estimates for an optimal control problem of laser surface hardening of steel.
    
  
    Adv. Comput. Math., 2013
    
  
  2012
An A Posteriori Error Analysis of Mixed Finite Element Galerkin Approximations to Second Order Linear Parabolic Problems.
    
  
    SIAM J. Numer. Anal., 2012
    
  
A parallel implementation of a mixed-hybrid finite element method for anisotropic plate bending problems.
    
  
    Adv. Eng. Softw., 2012
    
  
  2011
A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems.
    
  
    Adv. Comput. Math., 2011
    
  
  2009
    Appl. Math. Comput., 2009
    
  
  2008
<i>hp</i>-Discontinuous Galerkin methods for strongly nonlinear elliptic boundary value problems.
    
  
    Numerische Mathematik, 2008
    
  
An <i>hp</i>-local discontinuous Galerkin method for some quasilinear elliptic boundary value problems of nonmonotone type.
    
  
    Math. Comput., 2008
    
  
    J. Sci. Comput., 2008
    
  
    Appl. Math. Comput., 2008
    
  
  2005
A parallel mixed finite element implementation of fourth-order plate bending problems in distributed memory environments.
    
  
    Appl. Math. Comput., 2005
    
  
  2004
Performance of a parallel mixed finite element implementation for fourth order clamped anisotropic plate bending problems in distributed memory environments.
    
  
    Appl. Math. Comput., 2004