Amiya K. Pani

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All published works

Action	Title	Year	Authors
+ PDF Chat	On a non-uniform $$\alpha $$-robust IMEX-L1 mixed FEM for time-fractional PIDEs	2025	Lok Pati Tripathi Aditi Tomar Amiya K. Pani
+ PDF Chat	Error Estimates for Discontinuous Galerkin Approximations to the Vlasov-Unsteady Stokes System	2024	Harsha Hutridurga Krishan Kumar Amiya K. Pani
+ PDF Chat	On a Completely Discrete Discontinuous Galerkin Method for Incompressible Chemotaxis-Navier-Stokes Equations	2024	Bikram Bir Harsha Hutridurga Amiya K. Pani
+ PDF Chat	On Two Conservative HDG Schemes for Nonlinear Klein-Gordon Equation	2024	Shipra Gupta Amiya K. Pani Sangita Yadav
+ PDF Chat	Finite element approximation to the non-stationary quasi-geostrophic equation	2024	Dohyun Kim Amiya K. Pani Eun‐Jae Park
+ PDF Chat	On a Non-Uniform $\alpha$-Robust IMEX-L1 Mixed FEM for Time-Fractional PIDEs	2024	Lok Pati Tripathi Aditi Tomar Amiya K. Pani
+	A second order non-uniform IMEX-Alikhanov-FEM for time-fractional PDEs and PIDEs with time-dependent coefficients	2024	Aditi Tomar Lok Pati Tripathi Amiya K. Pani
+	Optimal error estimates of a non-uniform IMEX-L1 finite element method for time fractional PDEs and PIDEs	2024	Aditi Tomar Lok Pati Tripathi Amiya K. Pani
+ PDF Chat	Approximate Controllability of Linear Parabolic Equation with Memory	2024	Anil Kumar Amiya K. Pani Mohan C. Joshi
+ PDF Chat	Discontinuous Galerkin Methods for the Vlasov–Stokes System	2024	Harsha Hutridurga Krishan Kumar Amiya K. Pani
+	An alternating direction implicit finite element Galerkin method for the linear Schrödinger equation	2024	Morrakot Khebchareon Amiya K. Pani Graeme Fairweather Ryan I. Fernandes
+	Optimal Error Estimates of a Non-Uniform Imex-L1 Finite Element Method for Time Fractional Pdes and Pides	2024	Aditi Tomar Lok Pati Tripathi Amiya K. Pani
+ PDF Chat	High-order schemes based on extrapolation for semilinear fractional differential equation	2023	Yuhui Yang Charles Wing Ho Green Amiya K. Pani Yubin Yan
+ PDF Chat	Unconditionally Stable and Convergent Difference Scheme for Superdiffusion with Extrapolation	2023	Jinping Yang Charles Wing Ho Green Amiya K. Pani Yubin Yan
+ PDF Chat	Nonconforming Virtual Elements for the Biharmonic Equation with Morley Degrees of Freedom on Polygonal Meshes	2023	Carsten Carstensen Rekha Khot Amiya K. Pani
+ PDF Chat	Discontinuous Galerkin Methods with Generalized Numerical Fluxes for the Vlasov-Viscous Burgers’ System	2023	Harsha Hutridurga Krishan Kumar Amiya K. Pani
+ PDF Chat	An Alternating Direction Implicit Finite Element Galerkin Method for the Linear Schrödinger Equation	2023	Morrakot Khebchareon Amiya K. Pani Graeme Fairweather Ryan I. Fernandes
+	HDG method for linear parabolic integro-Differential equations	2023	Riya Jain Amiya K. Pani Sangita Yadav
+	Optimal error analysis of a non-uniform IMEX-L1 finite element method for time fractional PDEs and PIDEs	2023	Aditi Tomar Lok Pati Tripathi Amiya K. Pani
+	Asymptotic behaviour of the semidiscrete FE approximations to weakly damped wave equations with minimal smoothness on initial data	2023	P. Danumjaya Anil Kumar Amiya K. Pani
+	Discontinuous Galerkin Methods with Generalized Numerical Fluxes for the Vlasov-Viscous Burgers' System	2023	Harsha Hutridurga Krishan Kumar Amiya K. Pani
+	Periodic Vlasov-Stokes' system: Existence and Uniqueness of strong solutions	2023	Harsha Hutridurga Krishan Kumar Amiya K. Pani
+	Discontinuous Galerkin methods for the Vlasov-Stokes' system	2023	Harsha Hutridurga Krishan Kumar Amiya K. Pani
+	Anisotropic a Posteriori Error Analysis for the Two-Step Backward Differentiation Formula for Parabolic Integro-Differential Equation	2022	Nakidi Shravani Gujji Murali Mohan Reddy Amiya K. Pani
+	Primal Hybrid Method For Quasilinear Parabolic Problems	2022	Ravina Shokeen Ajit Patel Amiya K. Pani
+	An <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si12.svg"><mml:msup><mml:mi>H</mml:mi><mml:mn>1</mml:mn></mml:msup></mml:math>-Galerkin mixed finite element method for identification of time dependent parameters in parabolic problems	2022	Morrakot Khebchareon Ambit K. Pany Amiya K. Pani
+	Finite Element Penalty Method for the Oldroyd Model of Order One with Non-smooth Initial Data	2022	Bikram Bir Deepjyoti Goswami Amiya K. Pani
+	Optimal error estimates of the penalty finite element method for the unsteady Navier-Stokes equations with nonsmooth initial data	2022	Bikram Bir Deepjyoti Goswami Amiya K. Pani
+	A Mixed Finite Element Scheme for Biharmonic Equation with Variable Coefficient and von Kármán Equations	2022	Huangxin Chen Huangxin Chen Amiya K. Pani Weifeng Qiu
+	Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes	2022	Carsten Carstensen Rekha Khot Amiya K. Pani
+	Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs	2022	C. Carstensen Neela Nataraj Amiya K. Pani
+ PDF Chat	Backward Euler method for the equations of motion arising in Oldroyd model of order one with nonsmooth initial data	2021	Bikram Bir Deepjyoti Goswami Amiya K. Pani
+ PDF Chat	Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations	2021	Verónica Anaya David Mora Amiya K. Pani Ricardo Ruiz‐Baier
+	Morley FEM for the fourth-order nonlinear reaction-diffusion problems	2021	P. Danumjaya Ambit K. Pany Amiya K. Pani
+ PDF Chat	Negative norm estimates and superconvergence results in Galerkin method for strongly nonlinear parabolic problems	2021	Ambit K. Pany Morrakot Khebchareon Amiya K. Pani
+	Negative norm estimates and superconvergence results in Galerkin method for strongly nonlinear parabolic problems	2021	Ambit K. Pany Morrakot Khebchareon Amiya K. Pani
+	Galerkin finite element approximation of a stochastic semilinear fractional subdiffusion with fractionally integrated additive noise	2021	Wenyan Kang Bernard A. Egwu Yubin Yan Amiya K. Pani
+	Numerical analysis of a new formulation for the Oseen equations in terms of vorticity and Bernoulli pressure.	2021	Verónica Anaya David Mora Amiya K. Pani Ricardo Ruiz‐Baier
+	Morley finite element methods for the stationary quasi-geostrophic equation	2021	Dohyun Kim Amiya K. Pani Eun‐Jae Park
+	Negative norm estimates and superconvergence results in Galerkin method for strongly nonlinear parabolic problems	2021	Ambit K. Pany Morrakot Khebchareon Amiya K. Pani
+	A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems	2021	Carsten Carstensen Rekha Khot Amiya K. Pani
+	Backward Euler method for the equations of motion arising in Oldroyd model of order one with nonsmooth initial data	2021	Bikram Bir Deepjyoti Goswami Amiya K. Pani
+	Morley Finite Element Method for the von K\'{a}rm\'{a}n Obstacle Problem.	2020	Carsten Carstensen Sharat Gaddam Neela Nataraj Amiya K. Pani Devika Shylaja
+ PDF Chat	Global Stabilization of Two Dimensional Viscous Burgers’ Equation by Nonlinear Neumann Boundary Feedback Control and Its Finite Element Analysis	2020	Sudeep Kundu Amiya K. Pani
+ PDF Chat	A First-Order Explicit-Implicit Splitting Method for a Convection-Diffusion Problem	2020	Amiya K. Pani Vidar Thomée A. S. Vasudeva Murthy
+	Mixed FEM for Time-Fractional Diffusion Problems with Time-Dependent Coefficients	2020	Samir Karaa Amiya K. Pani
+	A mixed finite element scheme for biharmonic equation with variable coefficient and von Kármán equations.	2020	Huangxin Chen Huangxin Chen Amiya K. Pani Weifeng Qiu
+ PDF Chat	Higher Order Time Stepping Methods for Subdiffusion Problems Based on Weighted and Shifted Grünwald–Letnikov Formulae with Nonsmooth Data	2020	Yanyong Wang Yuyuan Yan Yubin Yan Amiya K. Pani
+ PDF Chat	Issue Information	2020	George F. Pinder J. R. Whiteman Ismael Herrera Pankaj K. Mishra Kapil Sharma Amiya K. Pani Graeme Fairweather Rommel Bustinza Jonathan Munguia‐La‐Cotera Yujie Liu
+	A mixed finite element scheme for biharmonic equation with variable coefficient and von Kármán equations	2020	Huangxin Chen Huangxin Chen Amiya K. Pani Weifeng Qiu
+	Morley Finite Element Method for the von Kármán Obstacle Problem	2020	Carsten Carstensen Sharat Gaddam Neela Nataraj Amiya K. Pani Devika Shylaja
+	High‐order discrete‐time orthogonal spline collocation methods for singularly perturbed 1D parabolic reaction–diffusion problems	2019	Pankaj K. Mishra Kapil K. Sharma Amiya K. Pani Graeme Fairweather
+ PDF Chat	Global Stabilization of BBM–Burgers’ Type Equations by Nonlinear Boundary Feedback Control Laws: Theory and Finite Element Error Analysis	2019	Sudeep Kundu Amiya K. 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.	2019	Sudeep Kundu Amiya K. 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	2019	Sudeep Kundu Amiya K. Pani
+	Global Stabilization of BBM-Burgers' Type Equations by Nonlinear Boundary Feedback Control Laws: Theory and Finite Element Error Analysis	2018	Sudeep Kundu Amiya K. Pani
+	Global Stabilization of Two Dimensional Viscous Burgers' Equation by Nonlinear Neumann Boundary Feedback Control and its Finite Element Analysis	2018	Sudeep Kundu Amiya K. Pani
+	Superconvergent discontinuous Galerkin methods for nonlinear parabolic initial and boundary value problems	2018	Sangita Yadav Amiya K. Pani
+	Stabilization of Kelvin–Voigt viscoelastic fluid flow model	2018	Sudeep Kundu Amiya K. Pani
+ PDF Chat	Error analysis of a FVEM for fractional order evolution equations with nonsmooth initial data	2018	Samir Karaa Amiya K. Pani
+	Asymptotic Analysis and Optimal Error estimates for Benjamin‐Bona‐Mahony‐Burgers' Type Equations	2018	Sudeep Kundu Amiya K. Pani Morrakot Khebchareon
+	A Qualocation Method for Parabolic Partial Integro-Differential Equations in One Space Variable	2018	Lok Pati Tripathi Amiya K. Pani Graeme Fairweather
+	Global Stabilization of Two Dimensional Viscous Burgers' Equation by Nonlinear Neumann Boundary Feedback Control and its Finite Element Analysis	2018	Sudeep Kundu Amiya K. Pani
+	Global Stabilization of BBM-Burgers' Type Equations by Nonlinear Boundary Feedback Control Laws: Theory and Finite Element Error Analysis	2018	Sudeep Kundu Amiya K. Pani
+	Stabilized Lagrange multiplier method for elliptic and parabolic interface problems	2017	Ajit Patel Sanjib Kumar Acharya Amiya K. Pani
+ PDF Chat	Optimal Error Analysis of a FEM for Fractional Diffusion Problems by Energy Arguments	2017	Samir Karaa Kassem Mustapha Amiya K. Pani
+	Error analysis of a finite volume element method for fractional order evolution equations with nonsmooth initial data	2017	Samir Karaa Amiya K. Pani
+ PDF Chat	Finite volume element method for two-dimensional fractional subdiffusion problems	2016	Samir Karaa Kassem Mustapha Amiya K. Pani
+	Stabilization of Kelvin-Voigt viscoelastic Fuid Fow model	2016	Sudeep Kundu Amiya K. Pani
+	Approximate Controllability of a Class of Partial Integro-Differential Equations of Parabolic Type	2016	Anil Kumar Amiya K. Pani Mohan C. Joshi
+	A priori estimates of a finite element method for fractional diffusion problems by energy arguments	2016	Samir Karaa Kassem Mustapha Amiya K. Pani
+	Optimal error analysis of a FEM for fractional diffusion problems by energy arguments	2016	Samir Karaa Kassem Mustapha Amiya K. Pani
+ PDF Chat	On Kirchhoff's Model of Parabolic Type	2016	Sudeep Kundu Amiya K. Pani Morrakot Khebchareon
+	Optimal error estimates for semidiscrete Galerkin approximations to equations of motion described by Kelvin–Voigt viscoelastic fluid flow model	2016	Ambit K. Pany Saumya Bajpai Amiya K. Pani
+	Approximate Controllability of a Class of Partial Integro-Differential Equations of Parabolic Type	2016	Anil Kumar Amiya K. Pani Mohan C. Joshi
+	Stabilization of Kelvin-Voigt viscoelastic Fuid Fow model	2016	Sudeep Kundu Amiya K. Pani
+	Optimal error analysis of a FEM for fractional diffusion problems by energy arguments	2016	Samir Karaa Kassem Mustapha Amiya K. Pani
+	Optimal Error Estimates for Semidiscrete Galerkin approximations to the Equations of Motion Described by Kelvin-Voigt Viscoelastic Fluid Flow Model	2015	Ambit K. Pany Saumya Bajpai Amiya K. Pani
+	On Kirchhoff's Model of Parabolic Type	2015	Sudeep Kundu Amiya K. Pani Morrakot Khebchareon
+	Finite volume element method for two-dimensional fractional subdiffusion problems	2015	Samir Karaa Kassem Mustapha Amiya K. Pani
+ PDF Chat	Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems	2015	Carsten Carstensen Asha K. Dond Neela Nataraj Amiya K. Pani
+ PDF Chat	A priori hp-estimates for discontinuous Galerkin approximations to linear hyperbolic integro-differential equations	2015	Samir Karaa Amiya K. Pani Sangita Yadav
+	On an a posteriori error analysis of mixed finite element Galerkin approximations to a second order wave equation	2015	Samir Karaa Amiya K. Pani
+	Alternating Direction Implicit Galerkin Methods for an Evolution Equation with a Positive-Type Memory Term	2015	Morrakot Khebchareon Amiya K. Pani Graeme Fairweather
+	A priori error estimates for finite volume element approximations to second order linear hyperbolic integro-differential equations	2015	Samir Karaa Amiya K. Pani
+	On an a posteriori error analysis of mixed finite element Galerkin approximations to a second order wave equation	2015	Samir Karaa Amiya K. Pani
+	Optimal Error Estimates for Semidiscrete Galerkin approximations to the Equations of Motion Described by Kelvin-Voigt Viscoelastic Fluid Flow Model	2015	Ambit K. Pany Saumya Bajpai Amiya K. Pani
+	On Kirchhoff's Model of Parabolic Type	2015	Sudeep Kundu Amiya K. Pani Morrakot Khebchareon
+	Finite volume element method for two-dimensional fractional subdiffusion problems	2015	Samir Karaa Kassem Mustapha Amiya K. Pani
+	Optimal $L_{2}$ estimates for semidiscrete Galerkin method applied to parabolic integro-differential equations with nonsmooth data	2014	Amiya K. Pani Deepjyoti Goswami Sangita Yadav
+ PDF Chat	Optimal error estimates of mixed FEMs for second order hyperbolic integro-differential equations with minimal smoothness on initial data	2014	Samir Karaa Amiya K. Pani
+	On a three level two-grid finite element method for the 2D-transient Navier-Stokes equations	2014	Saumya Bajpai Amiya K. Pani
+	A Priori $hp$-estimates for Discontinuous Galerkin Approximations to Linear Hyperbolic Integro-Differential Equations	2014	Samir Karaa Amiya K. Pani Sangita Yadav
+	Optimal error estimates of mixed FEMs for second order hyperbolic integro-differential equations with minimal smoothness on initial data	2014	Samir Karaa Amiya K. Pani
+ PDF Chat	OPTIMAL ESTIMATES FOR THE SEMIDISCRETE GALERKIN METHOD APPLIED TO PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH NONSMOOTH DATA	2014	Deepjyoti Goswami Amiya K. Pani Sangita Yadav
+	Convergence of an adaptive mixed finite element method for general second order linear elliptic problems	2014	Asha K. Dond Neela Nataraj Amiya K. Pani
+	A priori error estimates for finite volume element approximations to second order linear hyperbolic integro-differential equations	2014	Samir Karaa Amiya K. Pani
+	DGM for Scalar Conservation Laws	2014	Amiya K. Pani
+	A Priori $hp$-estimates for Discontinuous Galerkin Approximations to Linear Hyperbolic Integro-Differential Equations	2014	Samir Karaa Amiya K. Pani Sangita Yadav
+	Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems	2014	Carsten Carstensen Asha K. Dond Neela Nataraj Amiya K. Pani
+	Optimal error estimates of mixed FEMs for second order hyperbolic integro-differential equations with minimal smoothness on initial data	2014	Samir Karaa Amiya K. Pani
+	On a three level two-grid finite element method for the 2D-transient Navier-Stokes equations	2014	Saumya Bajpai Amiya K. Pani
+	Optimal Error Estimates of Two Mixed Finite Element Methods for Parabolic Integro-Differential Equations with Nonsmooth Initial Data	2013	Deepjyoti Goswami Amiya K. Pani Sangita Yadav
+ PDF Chat	Superconvergent discontinuous Galerkin methods for nonlinear elliptic equations	2013	Sangita Yadav Amiya K. Pani Eun‐Jae Park
+	Backward Euler method for the Equations of Motion Arising in Oldroyd Fluids of Order One with Nonsmooth Initial Data	2012	Deepjyoti Goswami Amiya K. Pani
+	Mixed finite element methods for a fourth order reaction diffusion equation	2011	P. Danumjaya Amiya K. Pani
+ PDF Chat	An hp-local Discontinuous Galerkin Method for Parabolic Integro-Differential Equations	2010	Amiya K. Pani Sangita Yadav
+	ADI orthogonal spline collocation methods for parabolic partial integro-differential equations	2009	Amiya K. Pani Graeme Fairweather Ryan I. Fernandes
+	Mixed Discontinuous Galerkin Finite Element Method for the Biharmonic Equation	2008	Thirupathi Gudi Neela Nataraj Amiya K. Pani
+	Mortar element methods for parabolic problems	2008	Ajit Patel Amiya K. Pani Neela Nataraj
+	hp-Discontinuous Galerkin methods for strongly nonlinear elliptic boundary value problems	2008	Thirupathi Gudi Neela Nataraj Amiya K. Pani
+	Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term	2008	Amiya K. Pani Graeme Fairweather Ryan I. Fernandes
+ PDF Chat	An $hp$-local discontinuous Galerkin method for some quasilinear elliptic boundary value problems of nonmonotone type	2007	Thirupathi Gudi Neela Nataraj Amiya K. Pani
+	A qualocation method for Burgers’ equation	2007	Pritam S. Mantri Neela Nataraj Amiya K. Pani
+	Discontinuous Galerkin Methods for Quasi‐Linear Elliptic Problems of Nonmonotone Type	2007	Thirupathi Gudi Amiya K. Pani
+	Sliding motion of discontinuous dynamical systems described by semi-implicit index one differential algebraic equations	2006	J. D. Agrawal Kannan M. Moudgalya Amiya K. Pani
+	Equivalent dynamic solution of an industrial HDPE slurry reactor	2006	Sushant Nigam Kannan M. Moudgalya Amiya K. Pani
+	On a Linearized Backward Euler Method for the Equations of Motion of Oldroyd Fluids of Order One	2006	Amiya K. Pani Jin Yuan Pedro D. Damázio
+	Orthogonal cubic spline collocation method for the extended Fisher–Kolmogorov equation	2004	P. Danumjaya Amiya K. Pani
+	Higher order fully discrete scheme combined withH 1-Galerkin mixed finite element method for semilinear reaction-diffusion equations	2004	Surendar Manickam Kannan K. Moudgalya Amiya K. Pani
+	Sliding Motion of Discontinuous Dynamical Systems Described by Differential Algebraic Equations	2003	J. D. Agrawal Kannan M. Moudgalya Amiya K. Pani
+	H1-Galerkin mixed finite element methods for parabolic partial integro-differential equations	2002	Amiya K. Pani
+	Finite Element Approximation with Quadrature to a Time Dependent Parabolic Integro-Differential Equation with Nonsmooth Initial Data	2001	Amiya K. Pani Rajen Kumar Sinha
+	Error estimates for semidiscrete Galerkin approximation to a time dependent parabolic integro-differential equation with nonsmooth data	2000	Amiya K. Pani Rajen Kumar Sinha
+	A qualocation method for parabolic partial differential equations	1999	Amiya K. Pani
+	A second-order splitting combined with orthogonal cubic spline collocation method for the Rosenau equation	1998	Surendar Manickam Amiya K. Pani S.K. Chung
+	A second‐order splitting combined with orthogonal cubic spline collocation method for the Rosenau equation	1998	Surendar Manickam Amiya K. Pani S.K. Chung
+ PDF Chat	On the Backward Euler Method for Time Dependent Parabolic Integro-Differential Equations with Nonsmooth Initial Data	1998	Amiya K. Pani Rajen Kumar Sinha
+	Second-order splitting combined with orthogonal cubic spline collocation method for the Kuramoto-Sivashinsky equation	1998	A.V. Manickam Kannan M. Moudgalya Amiya K. Pani
+	Finite element Galerkin method for the “good” Boussinesq equation	1997	Amiya K. Pani Haritha Saranga
+	Galerkin method for a Stefan-type problem in one space dimension	1997	L. Jones Tarcius Doss Amiya K. Pani S. Padhy
+	A leray-schauder type theorem and applications to boundary value problems for neutral equations	1997	T. Sengadir D. V. Pai Amiya K. Pani
+	Finite Element Methods with Numerical Quadrature for Parabolic Integrodifferential Equations	1996	Amiya K. Pani Todd E. Peterson
+	On superconvergence results and negative norm estimates for a unidimensional single phase stefan problem	1995	L. Jones Amiya K. Pani
+	On convergence of finite difference schemes fr generalized solutions of sobolev equations	1995	S.K. Chung Amiya K. Pani
+ PDF Chat	Topological transversality: applications to differential equations	1994	T. Sengadir Amiya K. Pani
+ PDF Chat	A finite element method for a diffusion equation with constrained energy and nonlinear boundary conditions	1993	Amiya K. Pani
+ PDF Chat	Numerical Methods for Hyperbolic and Parabolic Integro-Differential Equations	1992	Amiya K. Pani Vidar Thomée Lars B. Wahlbin
+	A finite element method for a single phase semilinear stefan problem in one space dimension	1991	Amiya K. Pani Purna C. Das
+	A Finite Element Galerkin Method for a Unidimensional Single-Phase Nonlinear Stefan Problem with Dirichlet Boundary Conditions	1991	Amiya K. Pani Pratibhamoy Das
+ PDF Chat	Rothe's method to semilinear hyperbolic integrodifferential equations	1989	D. Bahaguna Amiya K. Pani V. Raghavendra
+	A <i>Priori</i> Error Estimates in <i>H</i><sup>1</sup> and <i>H</i><sup>2</sup> Norms for Galerkin Approximations to a Single-Phase Nonlinear Stefan Problem in One Space Dimension	1989	Pratibhamoy Das Amiya K. Pani
+ PDF Chat	An <i>H</i><sup>1</sup>‐Galerkin method for a Stefan problem with a quasilinear parabolic equation in non‐divergence form	1987	Amiya K. Pani Pratibhamoy Das

Common Coauthors

Coauthor	Papers Together
Samir Karaa	20
Morrakot Khebchareon	11
Neela Nataraj	11
Sangita Yadav	10
Sudeep Kundu	10
Graeme Fairweather	8
Ambit K. Pany	8
Deepjyoti Goswami	8
Harsha Hutridurga	7
Lok Pati Tripathi	7
Kassem Mustapha	7
Carsten Carstensen	7
Aditi Tomar	6
Krishan Kumar	6
Sudeep Kundu	5
Saumya Bajpai	5
Bikram Bir	5
Thirupathi Gudi	4
Kannan M. Moudgalya	4
Yubin Yan	4
Ryan I. Fernandes	4
Ajit Patel	3
S.K. Chung	3
Mohan C. Joshi	3
Surendar Manickam	3
Huangxin Chen Huangxin Chen	3
P. Danumjaya	3
Asha K. Dond	3
Rajen Kumar Sinha	3
Pratibhamoy Das	3
Eun‐Jae Park	3
Weifeng Qiu	3
Rekha Khot	3
Charles Wing Ho Green	2
Verónica Anaya	2
Devika Shylaja	2
Anil Kumar	2
T. Sengadir	2
Ricardo Ruíz-Baier	2
Pankaj K. Mishra	2
Sharat Gaddam	2
Vidar Thomée	2
David Mora	2
Anil Kumar	2
Dohyun Kim	2
J. D. Agrawal	2
Yuyuan Yan	1
Pritam S. Mantri	1
Kapil Sharma	1
Carlos Brito‐Loeza	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Galerkin Finite Element Methods for Parabolic Problems.	1985	Rolf Rannacher Vidar Thomée	23
+ PDF Chat	Numerical Methods for Hyperbolic and Parabolic Integro-Differential Equations	1992	Amiya K. Pani Vidar Thomée Lars B. Wahlbin	14
+ PDF Chat	Error estimates for semidiscrete finite element methods for parabolic integro-differential equations	1989	Vidar Thomée Nai Ying Zhang	12
+	Ritz–Volterra Projections to Finite-Element Spaces and Applications to Integrodifferential and Related Equations	1991	Yan Ping Lin Vidar Thomée Lars B. Wahlbin	11
+ PDF Chat	Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems	2002	Douglas N. Arnold Franco Brezzi Bernardo Cockburn L. D. Marini	10
+ PDF Chat	A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations	1973	Mary F. Wheeler	8
+	Error Estimates for Semidiscrete Finite Element Methods for Parabolic Integro-Differential Equations	1989	Vidar Thomée Nai‐Ying Zhang	8
+ PDF Chat	Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations	2013	Bangti Jin Raytcho Lazarov Zhi Zhou	7
+ PDF Chat	Collocation Methods for Parabolic Equations in a Single Space Variable	1974	Jim Douglas Todd Dupont	7
+	Non-classicalH 1 projection and Galerkin methods for non-linear parabolic integro-differential equations	1988	John R. Cannon Yuan Lin	7
+	Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization	1982	John G. Heywood Rolf Rannacher	7
+	Topics in functional analysis and applications	1990	S. Kesavan	6
+	On Galerkin Methods in Semilinear Parabolic Problems	1975	Vidar Thomée Lars B. Wahlbin	6
+	Error estimates for semidiscrete Galerkin approximation to a time dependent parabolic integro-differential equation with nonsmooth data	2000	Amiya K. Pani Rajen Kumar Sinha	6
+ PDF Chat	REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION	2010	William McLean	6
+	Finite element methods for parabolic and hyperbolic partial integro-differential equations	1988	Elizabeth Greenwell Yanik Graeme Fairweather	6
+ PDF Chat	Galerkin Finite Element Methods for Parabolic Problems	1997	Vidar Thomée	6
+	A Priori $L^2 $ Error Estimates for Finite-Element Methods for Nonlinear Diffusion Equations with Memory	1990	John R. Cannon Yanping Lin	6
+	Finite Element Methods with Numerical Quadrature for Parabolic Integrodifferential Equations	1996	Amiya K. Pani Todd E. Peterson	6
+	A qualocation method for parabolic partial differential equations	1999	Amiya K. Pani	6
+	Lectures on Elliptic Boundary Value Problems	2010	Shmuel Agmon	6
+ PDF Chat	Burgers′ equation with nonlinear boundary feedback: <i>H</i><sup>1</sup> stability, well‐posedness and simulation	2000	András Balogh Miroslav Krstić	5
+ PDF Chat	Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data	2016	Bangti Jin Raytcho Lazarov Zhi Zhou	5
+ PDF Chat	Numerical solution of an evolution equation with a positive-type memory term	1993	William McLean Vidar Thomée	5
+	Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations	1977	James H. Bramble A. H. Schatz Vidar Thomée Lars B. Wahlbin	5
+ PDF Chat	FEM for time-fractional diffusion equations, novel optimal error analyses	2017	Kassem Mustapha	5
+ PDF Chat	Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion	2014	Bangti Jin Raytcho Lazarov Joseph E. Pasciak Zhi Zhou	5
+ PDF Chat	The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems	1998	Bernardo Cockburn Chi‐Wang Shu	5
+	Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations	1995	K. E. Brenan Stephen L. Campbell L. R. Petzold	5
+	Finite difference/spectral approximations for the time-fractional diffusion equation	2007	Yumin Lin Chuanju Xu	5
+ PDF Chat	Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: the scalar case	2005	Paul Houston Janice Robson Endre Süli	5
+	Convolution quadrature time discretization of fractional diffusion-wave equations	2006	Eduardo Cuesta Christian Lubich César Palencia	5
+ PDF Chat	Optimal Error Analysis of a FEM for Fractional Diffusion Problems by Energy Arguments	2017	Samir Karaa Kassem Mustapha Amiya K. Pani	5
+	Nonlinear Boundary Control of the Generalized Burgers Equation	2004	Nejib Smaoui	5
+ PDF Chat	A control problem for Burgers' equation with bounded input/output	1991	John A. Burns Sungkwon Kang	5
+	Time Discretization of an Integro-Differential Equation of Parabolic Type	1986	Ian H. Sloan Vidar Thomée	5
+	Galerkin methods and L2-error estimates for hyperbolic integro-differential equations	1989	John R. Cannon Yanping Lin Chong-Yuan Xie	5
+ PDF Chat	The stability of Ritz-Volterra projection and error estimates for finite element methods for a class of integro-differential equations of parabolic type	1991	Yanping Lin Tie Zhang	5
+	An implicit finite-difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements	2010	Kassem Mustapha	4
+	On the boundary value problem of the biharmonic operator on domains with angular corners	1980	H. Blum Rolf Rannacher Rolf Leis	4
+	Superconvergence of the galerkin approximation of a quasilinear parabolic equation in a single space variable	1979	Douglas N. Arnold Jim Douglas	4
+ PDF Chat	Finite volume element approximations of nonlocal reactive flows in porous media	2000	Richard E. Ewing Raytcho Lazarov Yanping Lin	4
+ PDF Chat	An $hp$-local discontinuous Galerkin method for some quasilinear elliptic boundary value problems of nonmonotone type	2007	Thirupathi Gudi Neela Nataraj Amiya K. Pani	4
+	A second-order splitting combined with orthogonal cubic spline collocation method for the Rosenau equation	1998	Surendar Manickam Amiya K. Pani S.K. Chung	4
+ PDF Chat	A hybridizable discontinuous Galerkin method for fractional diffusion problems	2014	Bernardo Cockburn Kassem Mustapha	4
+	Theory and Applications of Fractional Differential Equations	2006	Anatoly A. Kilbas H. M. Srivastava Juan J. Trujillo	4
+ PDF Chat	Numerical solution via Laplace transforms of a fractional order evolution equation	2010	William McLean Vidar Thomée	4
+ PDF Chat	An analysis of the Rayleigh–Stokes problem for a generalized second-grade fluid	2014	Emilia Bazhlekova Bangti Jin Raytcho Lazarov Zhi Zhou	4
+	None	1998	Ch.I. Byrnes D.S. Gilliam V.I. Shubov	4
+	Maximum-norm error analysis of a numerical solution via Laplace transformation and quadrature of a fractional-order evolution equation	2009	William McLean Vidar Thomée	4