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Amiya Kumar Pani
Amiya K. Pani
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2020 – today
- 2025
- [j51]Harsha Hutridurga, Krishan Kumar, Amiya K. Pani:
Discontinuous Galerkin Methods for the Vlasov-Stokes System. Comput. Methods Appl. Math. 25(1): 93-114 (2025) - 2024
- [j50]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): 12 (2024) - [j49]Bikram Bir
Optimal Error Estimates of the Penalty Finite Element Method for the Unsteady Navier-Stokes Equations with Nonsmooth Initial Data. J. Sci. Comput. 98(2): 51 (2024) - [j48]Morrakot Khebchareon, Amiya K. Pani, Graeme Fairweather, Ryan I. Fernandes:
An alternating direction implicit finite element Galerkin method for the linear Schrödinger equation. Numer. Algorithms 97(3): 1039-1066 (2024) - [i18]Lok Pati Tripathi, Aditi Tomar, Amiya K. Pani:
On a Non-Uniform α-Robust IMEX-L1 Mixed FEM for Time-Fractional PIDEs. CoRR abs/2411.02277 (2024) - [i17]Dohyun Kim, Amiya K. Pani, Eun-Jae Park:
Finite element approximation to the non-stationary quasi-geostrophic equation. CoRR abs/2411.10732 (2024) - [i16]Shipra Gupta, Amiya Kumar Pani, Sangita Yadav:
On Two Conservative HDG Schemes for Nonlinear Klein-Gordon Equation. CoRR abs/2411.15572 (2024) - [i15]Bikram Bir, Harsha Hutridurga, Amiya K. Pani:
On a Completely Discrete Discontinuous Galerkin Method for Incompressible Chemotaxis-Navier-Stokes Equations. CoRR abs/2411.16641 (2024) - 2023
- [j47]Riya Jain, Amiya Kumar Pani, Sangita Yadav:
HDG method for linear parabolic integro-Differential equations. Appl. Math. Comput. 450: 127987 (2023) - [j46]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): 7 (2023) - [j45]Carsten Carstensen, Rekha Khot
Nonconforming Virtual Elements for the Biharmonic Equation with Morley Degrees of Freedom on Polygonal Meshes. SIAM J. Numer. Anal. 61(5): 2460-2484 (2023) - [i14]Aditi Tomar, Lok Pati Tripathi, Amiya K. Pani:
Optimal error analysis of a non-uniform IMEX-L1 finite element method for time fractional PDEs and PIDEs. CoRR abs/2302.05188 (2023) - [i13]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 abs/2302.12476 (2023) - [i12]Harsha Hutridurga, Krishan Kumar, Amiya Kumar Pani:
Discontinuous Galerkin Methods with Generalized Numerical Fluxes for the Vlasov-Viscous Burgers' System. CoRR abs/2305.01285 (2023) - [i11]Harsha Hutridurga, Krishan Kumar, Amiya Kumar Pani:
Discontinuous Galerkin methods for the Vlasov-Stokes' system. CoRR abs/2312.09762 (2023) - 2022
- [j44]Morrakot Khebchareon
An H1-Galerkin mixed finite element method for identification of time dependent parameters in parabolic problems. Appl. Math. Comput. 424: 127045 (2022) - [j43]Anil Kumar
Approximate controllability of linear parabolic equation with memory. Comput. Math. Appl. 128: 320-330 (2022) - [j42]Bikram Bir
Finite Element Penalty Method for the Oldroyd Model of Order One with Non-smooth Initial Data. Comput. Methods Appl. Math. 22(2): 297-325 (2022) - [j41]Verónica Anaya
Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations. J. Num. Math. 30(3): 209-230 (2022) - [j40]Ravina Shokeen, Ajit Patel, Amiya Kumar Pani
Primal Hybrid Method For Quasilinear Parabolic Problems. J. Sci. Comput. 92(1): 10 (2022) - [j39]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): 26 (2022) - [j38]Carsten Carstensen, Neela Nataraj, Amiya Kumar Pani:
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs. Numerische Mathematik 150(4): 975-992 (2022) - [j37]Carsten Carstensen, Rekha Khot
A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems. Numerische Mathematik 151(3): 551-600 (2022) - [i10]Bikram Bir, Deepjyoti Goswami, Amiya Kumar Pani:
Optimal L2 error estimates of the penalty finite element method for the unsteady Navier-Stokes equations with nonsmooth initial data. CoRR abs/2202.03777 (2022) - [i9]Carsten Carstensen, Neela Nataraj, Amiya Kumar Pani:
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs. CoRR abs/2203.02716 (2022) - [i8]Carsten Carstensen, Rekha Khot, Amiya Kumar Pani:
Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes. CoRR abs/2205.08764 (2022) - 2021
- [j36]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: 26-36 (2021) - [j35]P. Danumjaya, Ambit Kumar Pany, Amiya Kumar Pani
Morley FEM for the fourth-order nonlinear reaction-diffusion problems. Comput. Math. Appl. 99: 229-245 (2021) - [i7]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 abs/2101.08472 (2021) - [i6]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 abs/2102.05816 (2021) - [i5]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 abs/2106.16052 (2021) - [i4]Ambit Kumar Pany, Morrakot Khebchareon, Amiya Kumar Pani:
Negative norm estimates and superconvergence results in Galerkin method for strongly nonlinear parabolic problems. CoRR abs/2108.01297 (2021) - 2020
- [j34]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): 769-782 (2020) - [j33]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): 40 (2020) - [j32]Samir Karaa, Amiya Kumar Pani
Mixed FEM for Time-Fractional Diffusion Problems with Time-Dependent Coefficients. J. Sci. Comput. 83(3): 51 (2020) - [j31]Sudeep Kundu
Global Stabilization of Two Dimensional Viscous Burgers' Equation by Nonlinear Neumann Boundary Feedback Control and Its Finite Element Analysis. J. Sci. Comput. 84(3): 45 (2020) - [j30]Nisha Sharma, Morrakot Khebchareon
A priori error estimates of expanded mixed FEM for Kirchhoff type parabolic equation. Numer. Algorithms 83(1): 125-147 (2020) - [i3]Huangxin Chen, Amiya Kumar Pani, Weifeng Qiu:
A mixed finite element scheme for biharmonic equation with variable coefficient and von Kármán equations. CoRR abs/2005.11734 (2020) - [i2]Carsten Carstensen, Sharat Gaddam, Neela Nataraj, Amiya Kumar Pani, Devika Shylaja:
Morley Finite Element Method for the von Kármán Obstacle Problem. CoRR abs/2009.03205 (2020)
2010 – 2019
- 2019
- [j29]Sangita Yadav, Amiya Kumar Pani:
Superconvergent discontinuous Galerkin methods for nonlinear parabolic initial and boundary value problems. J. Num. Math. 27(3): 183-202 (2019) - [j28]Sudeep Kundu
Global Stabilization of BBM-Burgers' Type Equations by Nonlinear Boundary Feedback Control Laws: Theory and Finite Element Error Analysis. J. Sci. Comput. 81(2): 845-880 (2019) - [i1]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 abs/1907.05867 (2019) - 2018
- [j27]Sudeep Kundu
Finite element approximation to global stabilization of the Burgers' equation by Neumann boundary feedback control law. Adv. Comput. Math. 44(2): 541-570 (2018) - [j26]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): 1537-1571 (2018) - [j25]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: 215-234 (2018) - [j24]Samir Karaa, Kassem Mustapha
Optimal Error Analysis of a FEM for Fractional Diffusion Problems by Energy Arguments. J. Sci. Comput. 74(1): 519-535 (2018) - [j23]Carsten Carstensen, Asha K. Dond
Three First-Order Finite Volume Element Methods for Stokes Equations under Minimal Regularity Assumptions. SIAM J. Numer. Anal. 56(4): 2648-2671 (2018) - 2017
- [j22]Asha K. Dond
A Priori and A Posteriori Estimates of Conforming and Mixed FEM for a Kirchhoff Equation of Elliptic Type. Comput. Methods Appl. Math. 17(2): 217 (2017) - [j21]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): 199-228 (2017) - [j20]Sudeep Kundu
Asymptotic behavior and finite element error estimates of Kelvin-Voigt viscoelastic fluid flow model. Numer. Algorithms 75(3): 619-653 (2017) - 2016
- [j19]Ambit Kumar Pany
Optimal error estimates for semidiscrete Galerkin approximations to equations of motion described by Kelvin-Voigt viscoelastic fluid flow model. J. Comput. Appl. Math. 302: 234-257 (2016) - [j18]Carsten Carstensen, Asha K. Dond
Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems. Numerische Mathematik 133(3): 557-597 (2016) - 2015
- [j17]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: 113-134 (2015) - [j16]Morrakot Khebchareon
Alternating Direction Implicit Galerkin Methods for an Evolution Equation with a Positive-Type Memory Term. J. Sci. Comput. 65(3): 1166-1188 (2015) - 2014
- [j15]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): 1043-1071 (2014) - 2013
- [j14]Sangita Yadav, Amiya Kumar Pani, Neela Nataraj:
Superconvergent Discontinuous Galerkin Methods for Linear Non-selfadjoint and Indefinite Elliptic Problems. J. Sci. Comput. 54(1): 45-76 (2013) - [j13]Deepjyoti Goswami
Optimal Error Estimates of Two Mixed Finite Element Methods for Parabolic Integro-Differential Equations with Nonsmooth Initial Data. J. Sci. Comput. 56(1): 131-164 (2013) - [j12]Sangita Yadav, Amiya Kumar Pani, Eun-Jae Park
Superconvergent discontinuous Galerkin methods for nonlinear elliptic equations. Math. Comput. 82(283): 1297-1335 (2013) - 2012
- [j11]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): 1367-1393 (2012) - 2011
- [j10]Debasish Pradhan
A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems. Adv. Comput. Math. 34(4): 339-368 (2011) - [j9]Amiya Kumar Pani, Sangita Yadav:
An hp-local Discontinuous Galerkin Method for Parabolic Integro-Differential Equations. J. Sci. Comput. 46(1): 71-99 (2011)
2000 – 2009
- 2008
- [j8]Thirupathi Gudi
Mixed Discontinuous Galerkin Finite Element Method for the Biharmonic Equation. J. Sci. Comput. 37(2): 139-161 (2008) - [j7]Thirupathi Gudi
An hp-local discontinuous Galerkin method for some quasilinear elliptic boundary value problems of nonmonotone type. Math. Comput. 77(262): 731-756 (2008) - [j6]Thirupathi Gudi
hp-Discontinuous Galerkin methods for strongly nonlinear elliptic boundary value problems. Numerische Mathematik 109(2): 233-268 (2008) - 2007
- [j5]Anil Kumar
On approximation theorems for controllability of non-linear parabolic problems. IMA J. Math. Control. Inf. 24(1): 115-136 (2007) - [j4]Thirupathi Gudi
Discontinuous Galerkin Methods for Quasi-Linear Elliptic Problems of Nonmonotone Type. SIAM J. Numer. Anal. 45(1): 163-192 (2007) - [j3]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): 344-364 (2007) - 2006
- [j2]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): 804-825 (2006) - 2002
- [j1]Amiya Kumar Pani, Graeme Fairweather:
An H1-Galerkin Mixed Finite Element Method for an Evolution Equation with a Positive-Type Memory Term. SIAM J. Numer. Anal. 40(4): 1475-1490 (2002) - [c2]Prashant Vora, Kannan M. Moudgalya, Amiya K. Pani:
Control of a high index DAE system through a linear control law. ACC 2002: 465-470 - [c1]Jyoti Agrawal, Kannan M. Moudgalya, Amiya K. Pani:
An efficient integration algorithm for a class of discontinuous dynamical systems in sliding motion. ACC 2002: 698-703
Coauthor Index
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