Amiya Kumar Pani
Orcid: 0000-0002-0477-9272
According to our database1,
Amiya Kumar Pani
authored at least 66 papers
between 2002 and 2025.
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Bibliography
2025
Comput. Methods Appl. Math., January, 2025
2024
An alternating direction implicit finite element Galerkin method for the linear Schrödinger equation.
Numer. Algorithms, November, 2024
Optimal Error Estimates of the Penalty Finite Element Method for the Unsteady Navier-Stokes Equations with Nonsmooth Initial Data.
J. Sci. Comput., February, 2024
Unconditionally Stable and Convergent Difference Scheme for Superdiffusion with Extrapolation.
J. Sci. Comput., January, 2024
Error Estimates for Discontinuous Galerkin Approximations to the Vlasov-Unsteady Stokes System.
CoRR, 2024
On a Completely Discrete Discontinuous Galerkin Method for Incompressible Chemotaxis-Navier-Stokes Equations.
CoRR, 2024
CoRR, 2024
2023
Nonconforming Virtual Elements for the Biharmonic Equation with Morley Degrees of Freedom on Polygonal Meshes.
SIAM J. Numer. Anal., October, 2023
Appl. Math. Comput., August, 2023
Discontinuous Galerkin Methods with Generalized Numerical Fluxes for the Vlasov-Viscous Burgers' System.
J. Sci. Comput., July, 2023
Asymptotic behaviour of the semidiscrete FE approximations to weakly damped wave equations with minimal smoothness on initial data.
CoRR, 2023
Optimal error analysis of a non-uniform IMEX-L1 finite element method for time fractional PDEs and PIDEs.
CoRR, 2023
2022
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs.
Numerische Mathematik, 2022
A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems.
Numerische Mathematik, 2022
Anisotropic a Posteriori Error Analysis for the Two-Step Backward Differentiation Formula for Parabolic Integro-Differential Equation.
J. Sci. Comput., 2022
Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations.
J. Num. Math., 2022
Optimal L<sup>2</sup> error estimates of the penalty finite element method for the unsteady Navier-Stokes equations with nonsmooth initial data.
CoRR, 2022
Finite Element Penalty Method for the Oldroyd Model of Order One with Non-smooth Initial Data.
Comput. Methods Appl. Math., 2022
Comput. Math. Appl., 2022
An H1-Galerkin mixed finite element method for identification of time dependent parameters in parabolic problems.
Appl. Math. Comput., 2022
2021
Backward Euler method for the equations of motion arising in Oldroyd model of order one with nonsmooth initial data.
CoRR, 2021
Numerical analysis of a new formulation for the Oseen equations in terms of vorticity and Bernoulli pressure.
CoRR, 2021
Negative norm estimates and superconvergence results in Galerkin method for strongly nonlinear parabolic problems.
Comput. Math. Appl., 2021
Comput. Math. Appl., 2021
2020
A priori error estimates of expanded mixed FEM for Kirchhoff type parabolic equation.
Numer. Algorithms, 2020
Higher Order Time Stepping Methods for Subdiffusion Problems Based on Weighted and Shifted Grünwald-Letnikov Formulae with Nonsmooth Data.
J. Sci. Comput., 2020
Global Stabilization of Two Dimensional Viscous Burgers' Equation by Nonlinear Neumann Boundary Feedback Control and Its Finite Element Analysis.
J. Sci. Comput., 2020
J. Sci. Comput., 2020
A mixed finite element scheme for biharmonic equation with variable coefficient and von Kármán equations.
CoRR, 2020
Comput. Methods Appl. Math., 2020
2019
Global Stabilization of BBM-Burgers' Type Equations by Nonlinear Boundary Feedback Control Laws: Theory and Finite Element Error Analysis.
J. Sci. Comput., 2019
Superconvergent discontinuous Galerkin methods for nonlinear parabolic initial and boundary value problems.
J. Num. Math., 2019
Global Stabilization of 2D Forced Viscous Burgers' Equation Around Nonconstant Steady State Solution by Nonlinear Neumann Boundary Feedback Control: Theory and Finite Element Analysis.
CoRR, 2019
2018
Three First-Order Finite Volume Element Methods for Stokes Equations under Minimal Regularity Assumptions.
SIAM J. Numer. Anal., 2018
Optimal Error Analysis of a FEM for Fractional Diffusion Problems by Energy Arguments.
J. Sci. Comput., 2018
Superconvergence of a class of expanded discontinuous Galerkin methods for fully nonlinear elliptic problems in divergence form.
J. Comput. Appl. Math., 2018
Expanded mixed FEM with lowest order RT elements for nonlinear and nonlocal parabolic problems.
Adv. Comput. Math., 2018
Finite element approximation to global stabilization of the Burgers' equation by Neumann boundary feedback control law.
Adv. Comput. Math., 2018
2017
Asymptotic behavior and finite element error estimates of Kelvin-Voigt viscoelastic fluid flow model.
Numer. Algorithms, 2017
On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations.
J. Num. Math., 2017
A Priori and A Posteriori Estimates of Conforming and Mixed FEM for a Kirchhoff Equation of Elliptic Type.
Comput. Methods Appl. Math., 2017
2016
Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems.
Numerische Mathematik, 2016
Optimal error estimates for semidiscrete Galerkin approximations to equations of motion described by Kelvin-Voigt viscoelastic fluid flow model.
J. Comput. Appl. Math., 2016
2015
Alternating Direction Implicit Galerkin Methods for an Evolution Equation with a Positive-Type Memory Term.
J. Sci. Comput., 2015
Optimal error estimates of mixed FEMs for second order hyperbolic integro-differential equations with minimal smoothness on initial data.
J. Comput. Appl. Math., 2015
2014
On a two-grid finite element scheme for the equations of motion arising in Kelvin-Voigt model.
Adv. Comput. Math., 2014
2013
Math. Comput., 2013
Superconvergent Discontinuous Galerkin Methods for Linear Non-selfadjoint and Indefinite Elliptic Problems.
J. Sci. Comput., 2013
Optimal Error Estimates of Two Mixed Finite Element Methods for Parabolic Integro-Differential Equations with Nonsmooth Initial Data.
J. Sci. Comput., 2013
2012
An A Posteriori Error Analysis of Mixed Finite Element Galerkin Approximations to Second Order Linear Parabolic Problems.
SIAM J. Numer. Anal., 2012
2011
An <i>hp</i>-local Discontinuous Galerkin Method for Parabolic Integro-Differential Equations.
J. Sci. Comput., 2011
A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems.
Adv. Comput. Math., 2011
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
2007
Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term.
SIAM J. Numer. Anal., 2007
Discontinuous Galerkin Methods for Quasi-Linear Elliptic Problems of Nonmonotone Type.
SIAM J. Numer. Anal., 2007
IMA J. Math. Control. Inf., 2007
2006
On a Linearized Backward Euler Method for the Equations of Motion of Oldroyd Fluids of Order One.
SIAM J. Numer. Anal., 2006
2002
An <i>H</i><sup>1</sup>-Galerkin Mixed Finite Element Method for an Evolution Equation with a Positive-Type Memory Term.
SIAM J. Numer. Anal., 2002
Proceedings of the American Control Conference, 2002
An efficient integration algorithm for a class of discontinuous dynamical systems in sliding motion.
Proceedings of the American Control Conference, 2002