Quadrature based finite element approximations to time dependent parabolic equations with nonsmooth initial data

Amiya Kumar Pani; Rajen Kumar Sinha

doi:10.1007/s100920050018

Quadrature based finite element approximations to time dependent parabolic equations with nonsmooth initial data

CALCOLO ◽

10.1007/s100920050018 ◽

1998 ◽

Vol 35 (4) ◽

pp. 225-248 ◽

Cited By ~ 5

Author(s):

Amiya Kumar Pani ◽

Rajen Kumar Sinha

Keyword(s):

Finite Element ◽

Initial Data ◽

Parabolic Equations ◽

Time Dependent ◽

Finite Element Approximations ◽

Nonsmooth Initial Data

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Finite Element Approximation with Quadrature to a Time Dependent Parabolic Integro-Differential Equation with Nonsmooth Initial Data

Journal of Integral Equations and Applications ◽

10.1216/jiea/996986882 ◽

2001 ◽

Vol 13 (1) ◽

pp. 35-72 ◽

Cited By ~ 2

Author(s):

Amiya K. Pani ◽

Rajen K. Sinha

Keyword(s):

Differential Equation ◽

Finite Element ◽

Initial Data ◽

Finite Element Approximation ◽

Time Dependent ◽

Element Approximation ◽

Integro Differential Equation ◽

Nonsmooth Initial Data

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Mixed Finite Element Approximations of Parabolic Integro-Differential Equations with Nonsmooth Initial Data

SIAM Journal on Numerical Analysis ◽

10.1137/080740490 ◽

2009 ◽

Vol 47 (5) ◽

pp. 3269-3292 ◽

Cited By ~ 21

Author(s):

Rajen K. Sinha ◽

Richard E. Ewing ◽

Raytcho D. Lazarov

Keyword(s):

Finite Element ◽

Initial Data ◽

Differential Equations ◽

Mixed Finite Element ◽

Finite Element Approximations ◽

Nonsmooth Initial Data

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Optimal Error Estimates of Two Mixed Finite Element Methods for Parabolic Integro-Differential Equations with Nonsmooth Initial Data

Journal of Scientific Computing ◽

10.1007/s10915-012-9666-8 ◽

2013 ◽

Vol 56 (1) ◽

pp. 131-164 ◽

Cited By ~ 9

Author(s):

Deepjyoti Goswami ◽

Amiya K. Pani ◽

Sangita Yadav

Keyword(s):

Finite Element ◽

Initial Data ◽

Differential Equations ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Optimal Error Estimates ◽

Optimal Error ◽

Nonsmooth Initial Data

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Two-grid methods for mixed finite element approximations of nonlinear parabolic equations

Domain Decomposition Methods in Scientific and Engineering Computing - Contemporary Mathematics ◽

10.1090/conm/180/01971 ◽

1994 ◽

pp. 191-203 ◽

Cited By ~ 64

Author(s):

Clint N. Dawson ◽

Mary F. Wheeler

Keyword(s):

Finite Element ◽

Parabolic Equations ◽

Mixed Finite Element ◽

Nonlinear Parabolic Equations ◽

Finite Element Approximations ◽

Nonlinear Parabolic

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Semidiscrete finite element approximation of time optimal control problems for semilinear heat equations with nonsmooth initial data

Systems & Control Letters ◽

10.1016/j.sysconle.2018.04.009 ◽

2018 ◽

Vol 116 ◽

pp. 32-40 ◽

Cited By ~ 1

Author(s):

Jingfang Huang ◽

Xin Yu ◽

Kangsheng Liu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Initial Data ◽

Optimal Control Problems ◽

Finite Element Approximation ◽

Control Problems ◽

Heat Equations ◽

Element Approximation ◽

Time Optimal ◽

Nonsmooth Initial Data

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Domain decomposition and splitting methods for Mortar mixed finite element approximations to parabolic equations

Numerische Mathematik ◽

10.1007/bf02679437 ◽

2002 ◽

Vol 93 (1) ◽

pp. 53-75 ◽

Cited By ~ 8

Author(s):

Stéphanie Gaiffe ◽

Roland Glowinski ◽

Roland Masson

Keyword(s):

Finite Element ◽

Domain Decomposition ◽

Parabolic Equations ◽

Mixed Finite Element ◽

Splitting Methods ◽

Finite Element Approximations

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Two-scale composite finite element method for parabolic problems with smooth and nonsmooth initial data

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-017-1153-9 ◽

2017 ◽

Vol 58 (1-2) ◽

pp. 469-501 ◽

Cited By ~ 1

Author(s):

Tamal Pramanick ◽

Rajen Kumar Sinha

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Initial Data ◽

Parabolic Problems ◽

Nonsmooth Initial Data ◽

Element Method

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On finite element approximations to time-dependent problems

Numerische Mathematik ◽

10.1007/bf01402523 ◽

1972 ◽

Vol 19 (2) ◽

pp. 127-135 ◽

Cited By ~ 31

Author(s):

G. Fix ◽

N. Nassif

Keyword(s):

Finite Element ◽

Time Dependent ◽

Finite Element Approximations ◽

Time Dependent Problems

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Error Estimates for Two-Scale Composite Finite Element Approximations of Nonlinear Parabolic Equations

Journal of Computational Mathematics ◽

10.4208/jcm.2001-m2019-0117 ◽

2021 ◽

Vol 39 (4) ◽

pp. 533-557

Author(s):

global TamalPramanick

Keyword(s):

Finite Element ◽

Error Estimates ◽

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Finite Element Approximations ◽

Nonlinear Parabolic

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On the Galerkin finite element approximations to multi-dimensional differential and integro-differential parabolic equations

BIT Numerical Mathematics ◽

10.1007/bf02510212 ◽

1997 ◽

Vol 37 (2) ◽

pp. 237-255 ◽

Cited By ~ 3

Author(s):

N. Yu. Bakaev

Keyword(s):

Finite Element ◽

Parabolic Equations ◽

Galerkin Finite Element ◽

Finite Element Approximations

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