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

N. Yu. Bakaev

doi:10.1007/bf02510212

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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Fully Computable Error Bounds for Discontinuous Galerkin Finite Element Approximations on Meshes with an Arbitrary Number of Levels of Hanging Nodes

SIAM Journal on Numerical Analysis ◽

10.1137/080725945 ◽

2010 ◽

Vol 47 (6) ◽

pp. 4112-4141 ◽

Cited By ~ 18

Author(s):

Mark Ainsworth ◽

Richard Rankin

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Error Bounds ◽

Arbitrary Number ◽

Galerkin Finite Element ◽

Hanging Nodes ◽

Finite Element Approximations ◽

Discontinuous Galerkin Finite Element ◽

Computable Error Bounds

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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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Error estimates in weak Galerkin finite element methods for parabolic equations under low regularity assumptions

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.12.003 ◽

2021 ◽

Vol 162 ◽

pp. 81-105

Author(s):

Bhupen Deka ◽

Naresh Kumar

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Parabolic Equations ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Low Regularity ◽

Galerkin Finite Element Methods

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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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Error estimates for Galerkin finite element approximations of time-fractional nonlocal diffusion equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1820492 ◽

2020 ◽

pp. 1-20

Author(s):

J. Manimaran ◽

L. Shangerganesh

Keyword(s):

Finite Element ◽

Diffusion Equation ◽

Error Estimates ◽

Nonlocal Diffusion ◽

Galerkin Finite Element ◽

Finite Element Approximations

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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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Improved error estimates for mixed finite-element approximations for nonlinear parabolic equations: The continuous-time case

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690100202 ◽

1994 ◽

Vol 10 (2) ◽

pp. 129-147 ◽

Cited By ~ 26

Author(s):

Sonia M. F. Garcia

Keyword(s):

Finite Element ◽

Error Estimates ◽

Parabolic Equations ◽

Continuous Time ◽

Mixed Finite Element ◽

Nonlinear Parabolic Equations ◽

Finite Element Approximations ◽

Nonlinear Parabolic

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hp-Version a priori Error Analysis of Interior Penalty Discontinuous Galerkin Finite Element Approximations to the Biharmonic Equation

Journal of Scientific Computing ◽

10.1007/s10915-006-9100-1 ◽

2006 ◽

Vol 30 (3) ◽

pp. 465-491 ◽

Cited By ~ 67

Author(s):

Igor Mozolevski ◽

Endre Süli ◽

Paulo R. Bösing

Keyword(s):

Finite Element ◽

Error Analysis ◽

Discontinuous Galerkin ◽

Biharmonic Equation ◽

A Priori ◽

Interior Penalty ◽

Galerkin Finite Element ◽

Finite Element Approximations ◽

A Priori Error Analysis ◽

Discontinuous Galerkin Finite Element

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Discrete maximum principle for the P1−P0 weak Galerkin finite element approximations

Journal of Computational Physics ◽

10.1016/j.jcp.2018.02.013 ◽

2018 ◽

Vol 362 ◽

pp. 114-130 ◽

Cited By ~ 3

Author(s):

Junping Wang ◽

Xiu Ye ◽

Qilong Zhai ◽

Ran Zhang

Keyword(s):

Finite Element ◽

Maximum Principle ◽

Discrete Maximum Principle ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Finite Element Approximations

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Fully Computable a Posteriori Error Bounds for Hybridizable Discontinuous Galerkin Finite Element Approximations

Journal of Scientific Computing ◽

10.1007/s10915-018-0715-9 ◽

2018 ◽

Vol 77 (1) ◽

pp. 443-466 ◽

Cited By ~ 6

Author(s):

Mark Ainsworth ◽

Guosheng Fu

Keyword(s):

Finite Element ◽

Error Bounds ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Galerkin Finite Element ◽

Finite Element Approximations ◽

Hybridizable Discontinuous Galerkin ◽

Discontinuous Galerkin Finite Element ◽

A Posteriori Error Bounds

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