Amiya Kumar Pani

Publication Activity (10 Years)

Years Active: 2002-2024
Publications (10 Years): 43

Top Topics

Feedback Control

Top Venues

J. Sci. Comput.

J. Comput. Appl. Math.

Publications

Jinping Yang, Charles Wing Ho Green, Amiya Kumar Pani, Yubin Yan
Unconditionally Stable and Convergent Difference Scheme for Superdiffusion with Extrapolation. J. Sci. Comput. 98 (1) (2024)
Harsha Hutridurga, Krishan Kumar, Amiya Kumar Pani
Discontinuous Galerkin Methods with Generalized Numerical Fluxes for the Vlasov-Viscous Burgers' System. J. Sci. Comput. 96 (1) (2023)
P. Danumjaya, Anil Kumar, Amiya Kumar Pani
Asymptotic behaviour of the semidiscrete FE approximations to weakly damped wave equations with minimal smoothness on initial data. CoRR (2023)
Harsha Hutridurga, Krishan Kumar, Amiya Kumar Pani
Discontinuous Galerkin methods for the Vlasov-Stokes' system. CoRR (2023)
Carsten Carstensen, Rekha Khot, Amiya Kumar Pani
Nonconforming Virtual Elements for the Biharmonic Equation with Morley Degrees of Freedom on Polygonal Meshes. SIAM J. Numer. Anal. 61 (5) (2023)
Riya Jain, Amiya Kumar Pani, Sangita Yadav
HDG method for linear parabolic integro-Differential equations. Appl. Math. Comput. 450 (2023)
Morrakot Khebchareon, Ambit Kumar Pany, Amiya Kumar Pani
An H1-Galerkin mixed finite element method for identification of time dependent parameters in parabolic problems. Appl. Math. Comput. 424 (2022)
Carsten Carstensen, Rekha Khot, Amiya Kumar Pani
Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes. CoRR (2022)
Verónica Anaya, David Mora, Amiya Kumar Pani, Ricardo Ruiz-Baier
Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations. J. Num. Math. 30 (3) (2022)
N. Shravani, G. Murali Mohan Reddy, Amiya Kumar Pani
Anisotropic a Posteriori Error Analysis for the Two-Step Backward Differentiation Formula for Parabolic Integro-Differential Equation. J. Sci. Comput. 93 (1) (2022)
Bikram Bir, Deepjyoti Goswami, Amiya Kumar Pani
Finite Element Penalty Method for the Oldroyd Model of Order One with Non-smooth Initial Data. Comput. Methods Appl. Math. 22 (2) (2022)
Ravina Shokeen, Ajit Patel, Amiya Kumar Pani
Primal Hybrid Method For Quasilinear Parabolic Problems. J. Sci. Comput. 92 (1) (2022)
Bikram Bir, Deepjyoti Goswami, Amiya Kumar Pani
error estimates of the penalty finite element method for the unsteady Navier-Stokes equations with nonsmooth initial data. CoRR (2022)
Carsten Carstensen, Rekha Khot, Amiya Kumar Pani
A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems. Numerische Mathematik 151 (3) (2022)
Carsten Carstensen, Neela Nataraj, Amiya Kumar Pani
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs. Numerische Mathematik 150 (4) (2022)
Carsten Carstensen, Neela Nataraj, Amiya Kumar Pani
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs. CoRR (2022)
Anil Kumar, Amiya Kumar Pani, Mohan C. Joshi
Approximate controllability of linear parabolic equation with memory. Comput. Math. Appl. 128 (2022)
Ambit Kumar Pany, Morrakot Khebchareon, Amiya Kumar Pani
Negative norm estimates and superconvergence results in Galerkin method for strongly nonlinear parabolic problems. Comput. Math. Appl. 99 (2021)
Verónica Anaya, David Mora, Amiya Kumar Pani, Ricardo Ruiz-Baier
Numerical analysis of a new formulation for the Oseen equations in terms of vorticity and Bernoulli pressure. CoRR (2021)
Bikram Bir, Deepjyoti Goswami, Amiya Kumar Pani
Backward Euler method for the equations of motion arising in Oldroyd model of order one with nonsmooth initial data. CoRR (2021)
P. Danumjaya, Ambit Kumar Pany, Amiya Kumar Pani
Morley FEM for the fourth-order nonlinear reaction-diffusion problems. Comput. Math. Appl. 99 (2021)
Carsten Carstensen, Rekha Khot, Amiya Kumar Pani
A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems. CoRR (2021)
Ambit Kumar Pany, Morrakot Khebchareon, Amiya Kumar Pani
Negative norm estimates and superconvergence results in Galerkin method for strongly nonlinear parabolic problems. CoRR (2021)
Carsten Carstensen, Sharat Gaddam, Neela Nataraj, Amiya Kumar Pani, Devika Shylaja
Morley Finite Element Method for the von Kármán Obstacle Problem. CoRR (2020)
Samir Karaa, Amiya Kumar Pani
Mixed FEM for Time-Fractional Diffusion Problems with Time-Dependent Coefficients. J. Sci. Comput. 83 (3) (2020)
Nisha Sharma, Morrakot Khebchareon, Amiya Kumar Pani
A priori error estimates of expanded mixed FEM for Kirchhoff type parabolic equation. Numer. Algorithms 83 (1) (2020)
Huangxin Chen, Amiya Kumar Pani, Weifeng Qiu
A mixed finite element scheme for biharmonic equation with variable coefficient and von Kármán equations. CoRR (2020)
Sudeep Kundu, Amiya Kumar Pani
Global Stabilization of Two Dimensional Viscous Burgers' Equation by Nonlinear Neumann Boundary Feedback Control and Its Finite Element Analysis. J. Sci. Comput. 84 (3) (2020)
Amiya Kumar Pani, Vidar Thomée, A. S. Vasudeva Murthy
A First-Order Explicit-Implicit Splitting Method for a Convection-Diffusion Problem. Comput. Methods Appl. Math. 20 (4) (2020)
Yanyong Wang, Yuyuan Yan, Yubin Yan, Amiya Kumar Pani
Higher Order Time Stepping Methods for Subdiffusion Problems Based on Weighted and Shifted Grünwald-Letnikov Formulae with Nonsmooth Data. J. Sci. Comput. 83 (3) (2020)
Sudeep Kundu, Amiya Kumar Pani
Global Stabilization of BBM-Burgers' Type Equations by Nonlinear Boundary Feedback Control Laws: Theory and Finite Element Error Analysis. J. Sci. Comput. 81 (2) (2019)
Sangita Yadav, Amiya Kumar Pani
Superconvergent discontinuous Galerkin methods for nonlinear parabolic initial and boundary value problems. J. Num. Math. 27 (3) (2019)
Sudeep Kundu, Amiya Kumar Pani
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)
Samir Karaa, Kassem Mustapha, Amiya Kumar Pani
Optimal Error Analysis of a FEM for Fractional Diffusion Problems by Energy Arguments. J. Sci. Comput. 74 (1) (2018)
Nisha Sharma, Amiya Kumar Pani, Kapil K. Sharma
Expanded mixed FEM with lowest order RT elements for nonlinear and nonlocal parabolic problems. Adv. Comput. Math. 44 (5) (2018)
Carsten Carstensen, Asha K. Dond, Neela Nataraj, Amiya Kumar Pani
Three First-Order Finite Volume Element Methods for Stokes Equations under Minimal Regularity Assumptions. SIAM J. Numer. Anal. 56 (4) (2018)
Sudeep Kundu, Amiya Kumar Pani
Finite element approximation to global stabilization of the Burgers' equation by Neumann boundary feedback control law. Adv. Comput. Math. 44 (2) (2018)
Sangita Yadav, Amiya Kumar Pani
Superconvergence of a class of expanded discontinuous Galerkin methods for fully nonlinear elliptic problems in divergence form. J. Comput. Appl. Math. 333 (2018)
Asha K. Dond, Amiya Kumar Pani
A Priori and A Posteriori Estimates of Conforming and Mixed FEM for a Kirchhoff Equation of Elliptic Type. Comput. Methods Appl. Math. 17 (2) (2017)
Sudeep Kundu, Saumya Bajpai, Amiya Kumar Pani
Asymptotic behavior and finite element error estimates of Kelvin-Voigt viscoelastic fluid flow model. Numer. Algorithms 75 (3) (2017)
Saumya Bajpai, Amiya Kumar Pani
On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations. J. Num. Math. 25 (4) (2017)
Ambit Kumar Pany, Saumya Bajpai, Amiya Kumar Pani
Optimal error estimates for semidiscrete Galerkin approximations to equations of motion described by Kelvin-Voigt viscoelastic fluid flow model. J. Comput. Appl. Math. 302 (2016)
Carsten Carstensen, Asha K. Dond, Neela Nataraj, Amiya Kumar Pani
Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems. Numerische Mathematik 133 (3) (2016)
Morrakot Khebchareon, Amiya Kumar Pani, Graeme Fairweather
Alternating Direction Implicit Galerkin Methods for an Evolution Equation with a Positive-Type Memory Term. J. Sci. Comput. 65 (3) (2015)
Samir Karaa, Amiya Kumar Pani
Optimal error estimates of mixed FEMs for second order hyperbolic integro-differential equations with minimal smoothness on initial data. J. Comput. Appl. Math. 275 (2015)
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) (2014)
Sangita Yadav, Amiya Kumar Pani, Eun-Jae Park
Superconvergent discontinuous Galerkin methods for nonlinear elliptic equations. Math. Comput. 82 (283) (2013)
Deepjyoti Goswami, Amiya Kumar Pani, Sangita Yadav
Optimal Error Estimates of Two Mixed Finite Element Methods for Parabolic Integro-Differential Equations with Nonsmooth Initial Data. J. Sci. Comput. 56 (1) (2013)
Sangita Yadav, Amiya Kumar Pani, Neela Nataraj
Superconvergent Discontinuous Galerkin Methods for Linear Non-selfadjoint and Indefinite Elliptic Problems. J. Sci. Comput. 54 (1) (2013)
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) (2012)
Debasish Pradhan, Baskar Shalini, Neela Nataraj, Amiya Kumar Pani
A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems. Adv. Comput. Math. 34 (4) (2011)
Amiya Kumar Pani, Sangita Yadav
-local Discontinuous Galerkin Method for Parabolic Integro-Differential Equations. J. Sci. Comput. 46 (1) (2011)
Thirupathi Gudi, Neela Nataraj, Amiya Kumar Pani
-Discontinuous Galerkin methods for strongly nonlinear elliptic boundary value problems. Numerische Mathematik 109 (2) (2008)
Thirupathi Gudi, Neela Nataraj, Amiya Kumar Pani
-local discontinuous Galerkin method for some quasilinear elliptic boundary value problems of nonmonotone type. Math. Comput. 77 (262) (2008)
Thirupathi Gudi, Neela Nataraj, Amiya Kumar Pani
Mixed Discontinuous Galerkin Finite Element Method for the Biharmonic Equation. J. Sci. Comput. 37 (2) (2008)
Anil Kumar, Mohan C. Joshi, Amiya Kumar Pani
On approximation theorems for controllability of non-linear parabolic problems. IMA J. Math. Control. Inf. 24 (1) (2007)
Thirupathi Gudi, Amiya Kumar Pani
Discontinuous Galerkin Methods for Quasi-Linear Elliptic Problems of Nonmonotone Type. SIAM J. Numer. Anal. 45 (1) (2007)
Amiya Kumar Pani, Graeme Fairweather, Ryan I. Fernandes
Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term. SIAM J. Numer. Anal. 46 (1) (2007)
Amiya Kumar Pani, Jin Yun Yuan, Pedro D. Damázio
On a Linearized Backward Euler Method for the Equations of Motion of Oldroyd Fluids of Order One. SIAM J. Numer. Anal. 44 (2) (2006)
Amiya Kumar Pani, Graeme Fairweather
-Galerkin Mixed Finite Element Method for an Evolution Equation with a Positive-Type Memory Term. SIAM J. Numer. Anal. 40 (4) (2002)