Amiya Kumar Pani

Orcid: 0000-0002-0477-9272

According to our database1, Amiya Kumar Pani authored at least 60 papers between 2002 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

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Bibliography

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

2023
Nonconforming Virtual Elements for the Biharmonic Equation with Morley Degrees of Freedom on Polygonal Meshes.
SIAM J. Numer. Anal., October, 2023

HDG method for linear parabolic integro-Differential equations.
Appl. Math. Comput., August, 2023

Discontinuous Galerkin Methods with Generalized Numerical Fluxes for the Vlasov-Viscous Burgers' System.
J. Sci. Comput., July, 2023

Discontinuous Galerkin methods for the Vlasov-Stokes' system.
CoRR, 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

Primal Hybrid Method For Quasilinear Parabolic Problems.
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

Approximate controllability of linear parabolic equation with memory.
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

Morley FEM for the fourth-order nonlinear reaction-diffusion problems.
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

Mixed FEM for Time-Fractional Diffusion Problems with Time-Dependent Coefficients.
J. Sci. Comput., 2020

Morley Finite Element Method for the von Kármán Obstacle Problem.
CoRR, 2020

A mixed finite element scheme for biharmonic equation with variable coefficient and von Kármán equations.
CoRR, 2020

A First-Order Explicit-Implicit Splitting Method for a Convection-Diffusion Problem.
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
Superconvergent discontinuous Galerkin methods for nonlinear elliptic equations.
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

Mixed Discontinuous Galerkin Finite Element Method for the Biharmonic Equation.
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

On approximation theorems for controllability of non-linear parabolic problems.
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

Control of a high index DAE system through a linear control law.
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


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