Amiya Kumar Pani

62 papers Journal 62

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A second order non-uniform IMEX-Alikhanov-FEM for time-fractional PDEs and PIDEs with time-dependent coefficients. Numer. Algorithms Aditi Tomar, Lok Pati Tripathi, Amiya Kumar Pani
2024	J	`jnl`	On Two Conservative HDG Schemes for Nonlinear Klein-Gordon Equation. CoRR Shipra Gupta, Amiya Kumar Pani, Sangita Yadav
2024	J	`jnl`	Unconditionally Stable and Convergent Difference Scheme for Superdiffusion with Extrapolation. J. Sci. Comput. Jinping Yang, Charles Wing Ho Green, Amiya Kumar Pani, Yubin Yan
2023	J	`jnl`	Asymptotic behaviour of the semidiscrete FE approximations to weakly damped wave equations with minimal smoothness on initial data. CoRR P. Danumjaya, Anil Kumar, Amiya Kumar Pani
2023	J	`jnl`	Discontinuous Galerkin Methods with Generalized Numerical Fluxes for the Vlasov-Viscous Burgers' System. CoRR Harsha Hutridurga, Krishan Kumar, Amiya Kumar Pani
2023	J	`jnl`	Discontinuous Galerkin Methods with Generalized Numerical Fluxes for the Vlasov-Viscous Burgers' System. J. Sci. Comput. Harsha Hutridurga, Krishan Kumar, Amiya Kumar Pani
2023	J	`jnl`	Discontinuous Galerkin methods for the Vlasov-Stokes' system. CoRR Harsha Hutridurga, Krishan Kumar, Amiya Kumar Pani
2023	J	`jnl`	HDG method for linear parabolic integro-Differential equations. Appl. Math. Comput. Riya Jain, Amiya Kumar Pani, Sangita Yadav
2023	J	`jnl`	Nonconforming Virtual Elements for the Biharmonic Equation with Morley Degrees of Freedom on Polygonal Meshes. SIAM J. Numer. Anal. Carsten Carstensen, Rekha Khot, Amiya Kumar Pani
2022	J	`jnl`	A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems. Numerische Mathematik Carsten Carstensen, Rekha Khot, Amiya Kumar Pani
2022	J	`jnl`	An H1-Galerkin mixed finite element method for identification of time dependent parameters in parabolic problems. Appl. Math. Comput. Morrakot Khebchareon, Ambit Kumar Pany, Amiya Kumar Pani
2022	J	`jnl`	Anisotropic a Posteriori Error Analysis for the Two-Step Backward Differentiation Formula for Parabolic Integro-Differential Equation. J. Sci. Comput. N. Shravani, G. Murali Mohan Reddy, Amiya Kumar Pani
2022	J	`jnl`	Approximate controllability of linear parabolic equation with memory. Comput. Math. Appl. Anil Kumar, Amiya Kumar Pani, Mohan C. Joshi
2022	J	`jnl`	Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations. J. Num. Math. Verónica Anaya, David Mora, Amiya Kumar Pani, Ricardo Ruiz-Baier
2022	J	`jnl`	Finite Element Penalty Method for the Oldroyd Model of Order One with Non-smooth Initial Data. Comput. Methods Appl. Math. Bikram Bir, Deepjyoti Goswami, Amiya Kumar Pani
2022	J	`jnl`	Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes. CoRR Carsten Carstensen, Rekha Khot, Amiya Kumar Pani
2022	J	`jnl`	Optimal L CoRR Bikram Bir, Deepjyoti Goswami, Amiya Kumar Pani
2022	J	`jnl`	Primal Hybrid Method For Quasilinear Parabolic Problems. J. Sci. Comput. Ravina Shokeen, Ajit Patel, Amiya Kumar Pani
2022	J	`jnl`	Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs. CoRR Carsten Carstensen, Neela Nataraj, Amiya Kumar Pani
2022	J	`jnl`	Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs. Numerische Mathematik Carsten Carstensen, Neela Nataraj, Amiya Kumar Pani
2021	J	`jnl`	A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems. CoRR Carsten Carstensen, Rekha Khot, Amiya Kumar Pani
2021	J	`jnl`	Backward Euler method for the equations of motion arising in Oldroyd model of order one with nonsmooth initial data. CoRR Bikram Bir, Deepjyoti Goswami, Amiya Kumar Pani
2021	J	`jnl`	Morley FEM for the fourth-order nonlinear reaction-diffusion problems. Comput. Math. Appl. P. Danumjaya, Ambit Kumar Pany, Amiya Kumar Pani
2021	J	`jnl`	Negative norm estimates and superconvergence results in Galerkin method for strongly nonlinear parabolic problems. Comput. Math. Appl. Ambit Kumar Pany, Morrakot Khebchareon, Amiya Kumar Pani
2021	J	`jnl`	Negative norm estimates and superconvergence results in Galerkin method for strongly nonlinear parabolic problems. CoRR Ambit Kumar Pany, Morrakot Khebchareon, Amiya Kumar Pani
2021	J	`jnl`	Numerical analysis of a new formulation for the Oseen equations in terms of vorticity and Bernoulli pressure. CoRR Verónica Anaya, David Mora, Amiya Kumar Pani, Ricardo Ruiz-Baier
2020	J	`jnl`	A First-Order Explicit-Implicit Splitting Method for a Convection-Diffusion Problem. Comput. Methods Appl. Math. Amiya Kumar Pani, Vidar Thomée, A. S. Vasudeva Murthy
2020	J	`jnl`	A mixed finite element scheme for biharmonic equation with variable coefficient and von Kármán equations. CoRR Huangxin Chen, Amiya Kumar Pani, Weifeng Qiu
2020	J	`jnl`	A priori error estimates of expanded mixed FEM for Kirchhoff type parabolic equation. Numer. Algorithms Nisha Sharma, Morrakot Khebchareon, Amiya Kumar Pani
2020	J	`jnl`	Global Stabilization of Two Dimensional Viscous Burgers' Equation by Nonlinear Neumann Boundary Feedback Control and Its Finite Element Analysis. J. Sci. Comput. Sudeep Kundu, Amiya Kumar Pani
2020	J	`jnl`	Higher Order Time Stepping Methods for Subdiffusion Problems Based on Weighted and Shifted Grünwald-Letnikov Formulae with Nonsmooth Data. J. Sci. Comput. Yanyong Wang, Yuyuan Yan, Yubin Yan, Amiya Kumar Pani
2020	J	`jnl`	Mixed FEM for Time-Fractional Diffusion Problems with Time-Dependent Coefficients. J. Sci. Comput. Samir Karaa, Amiya Kumar Pani
2020	J	`jnl`	Morley Finite Element Method for the von Kármán Obstacle Problem. CoRR Carsten Carstensen, Sharat Gaddam, Neela Nataraj, Amiya Kumar Pani, Devika Shylaja
2019	J	`jnl`	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 Sudeep Kundu, Amiya Kumar Pani
2019	J	`jnl`	Global Stabilization of BBM-Burgers' Type Equations by Nonlinear Boundary Feedback Control Laws: Theory and Finite Element Error Analysis. J. Sci. Comput. Sudeep Kundu, Amiya Kumar Pani
2019	J	`jnl`	Superconvergent discontinuous Galerkin methods for nonlinear parabolic initial and boundary value problems. J. Num. Math. Sangita Yadav, Amiya Kumar Pani
2018	J	`jnl`	Expanded mixed FEM with lowest order RT elements for nonlinear and nonlocal parabolic problems. Adv. Comput. Math. Nisha Sharma, Amiya Kumar Pani, Kapil K. Sharma
2018	J	`jnl`	Finite element approximation to global stabilization of the Burgers' equation by Neumann boundary feedback control law. Adv. Comput. Math. Sudeep Kundu, Amiya Kumar Pani
2018	J	`jnl`	Optimal Error Analysis of a FEM for Fractional Diffusion Problems by Energy Arguments. J. Sci. Comput. Samir Karaa, Kassem Mustapha, Amiya Kumar Pani
2018	J	`jnl`	Superconvergence of a class of expanded discontinuous Galerkin methods for fully nonlinear elliptic problems in divergence form. J. Comput. Appl. Math. Sangita Yadav, Amiya Kumar Pani
2018	J	`jnl`	Three First-Order Finite Volume Element Methods for Stokes Equations under Minimal Regularity Assumptions. SIAM J. Numer. Anal. Carsten Carstensen, Asha K. Dond, Neela Nataraj, Amiya Kumar Pani
2017	J	`jnl`	A Priori and A Posteriori Estimates of Conforming and Mixed FEM for a Kirchhoff Equation of Elliptic Type. Comput. Methods Appl. Math. Asha K. Dond, Amiya Kumar Pani
2017	J	`jnl`	Asymptotic behavior and finite element error estimates of Kelvin-Voigt viscoelastic fluid flow model. Numer. Algorithms Sudeep Kundu, Saumya Bajpai, Amiya Kumar Pani
2017	J	`jnl`	On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations. J. Num. Math. Saumya Bajpai, Amiya Kumar Pani
2016	J	`jnl`	Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems. Numerische Mathematik Carsten Carstensen, Asha K. Dond, Neela Nataraj, Amiya Kumar Pani
2016	J	`jnl`	Optimal error estimates for semidiscrete Galerkin approximations to equations of motion described by Kelvin-Voigt viscoelastic fluid flow model. J. Comput. Appl. Math. Ambit Kumar Pany, Saumya Bajpai, Amiya Kumar Pani
2015	J	`jnl`	Alternating Direction Implicit Galerkin Methods for an Evolution Equation with a Positive-Type Memory Term. J. Sci. Comput. Morrakot Khebchareon, Amiya Kumar Pani, Graeme Fairweather
2015	J	`jnl`	Optimal error estimates of mixed FEMs for second order hyperbolic integro-differential equations with minimal smoothness on initial data. J. Comput. Appl. Math. Samir Karaa, Amiya Kumar Pani
2014	J	`jnl`	On a two-grid finite element scheme for the equations of motion arising in Kelvin-Voigt model. Adv. Comput. Math. Saumya Bajpai, Neela Nataraj, Amiya Kumar Pani
2013	J	`jnl`	Optimal Error Estimates of Two Mixed Finite Element Methods for Parabolic Integro-Differential Equations with Nonsmooth Initial Data. J. Sci. Comput. Deepjyoti Goswami, Amiya Kumar Pani, Sangita Yadav
2013	J	`jnl`	Superconvergent Discontinuous Galerkin Methods for Linear Non-selfadjoint and Indefinite Elliptic Problems. J. Sci. Comput. Sangita Yadav, Amiya Kumar Pani, Neela Nataraj
2013	J	`jnl`	Superconvergent discontinuous Galerkin methods for nonlinear elliptic equations. Math. Comput. Sangita Yadav, Amiya Kumar Pani, Eun-Jae Park
2012	J	`jnl`	An A Posteriori Error Analysis of Mixed Finite Element Galerkin Approximations to Second Order Linear Parabolic Problems. SIAM J. Numer. Anal. Sajid Memon, Neela Nataraj, Amiya Kumar Pani
2011	J	`jnl`	A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems. Adv. Comput. Math. Debasish Pradhan, Baskar Shalini, Neela Nataraj, Amiya Kumar Pani
2011	J	`jnl`	An J. Sci. Comput. Amiya Kumar Pani, Sangita Yadav
2008	J	`jnl`	An Math. Comput. Thirupathi Gudi, Neela Nataraj, Amiya Kumar Pani
2008	J	`jnl`	Mixed Discontinuous Galerkin Finite Element Method for the Biharmonic Equation. J. Sci. Comput. Thirupathi Gudi, Neela Nataraj, Amiya Kumar Pani
2007	J	`jnl`	Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term. SIAM J. Numer. Anal. Amiya Kumar Pani, Graeme Fairweather, Ryan I. Fernandes
2007	J	`jnl`	Discontinuous Galerkin Methods for Quasi-Linear Elliptic Problems of Nonmonotone Type. SIAM J. Numer. Anal. Thirupathi Gudi, Amiya Kumar Pani
2007	J	`jnl`	On approximation theorems for controllability of non-linear parabolic problems. IMA J. Math. Control. Inf. Anil Kumar, Mohan C. Joshi, Amiya Kumar Pani
2006	J	`jnl`	On a Linearized Backward Euler Method for the Equations of Motion of Oldroyd Fluids of Order One. SIAM J. Numer. Anal. Amiya Kumar Pani, Jin Yun Yuan, Pedro D. Damázio
2002	J	`jnl`	An SIAM J. Numer. Anal. Amiya Kumar Pani, Graeme Fairweather