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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Stability and Error Estimates of Galerkin Finite Element Approximations for Convection—Diffusion Equations

IMA Journal of Numerical Analysis ◽

10.1093/imanum/1.3.329 ◽

1981 ◽

Vol 1 (3) ◽

pp. 329-345 ◽

Author(s):

O. AXELSSON

Keyword(s):

Finite Element ◽

Error Estimates ◽

Diffusion Equations ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Finite Element Approximations

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High accuracy error estimates of a Galerkin finite element method for nonlinear time fractional diffusion equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22428 ◽

2019 ◽

Vol 36 (2) ◽

pp. 284-301 ◽

Author(s):

Jincheng Ren ◽

Dongyang Shi ◽

Seakweng Vong

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Error Estimates ◽

Fractional Diffusion ◽

High Accuracy ◽

Fractional Diffusion Equation ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Time Fractional Diffusion Equation

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Error Estimates for Semi-Discrete and Fully Discrete Galerkin Finite Element Approximations of the General Linear Second-Order Hyperbolic Equation

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2016.1254655 ◽

2017 ◽

Vol 38 (4) ◽

pp. 466-485 ◽

Author(s):

M. Basson ◽

B. Stapelberg ◽

N. F. J. van Rensburg

Keyword(s):

Finite Element ◽

Hyperbolic Equation ◽

Error Estimates ◽

Second Order ◽

General Linear ◽

Galerkin Finite Element ◽

Fully Discrete ◽

Finite Element Approximations ◽

Order Hyperbolic Equation ◽

Second Order Hyperbolic Equation

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A Petrov–Galerkin finite element method for the fractional advection–diffusion equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.06.013 ◽

2016 ◽

Vol 309 ◽

pp. 388-410 ◽

Author(s):

Yanping Lian ◽

Yuping Ying ◽

Shaoqiang Tang ◽

Stephen Lin ◽

Gregory J. Wagner ◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

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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 ◽

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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A posteriori $$L^{\infty }(L^{\infty })$$-error estimates for finite-element approximations to parabolic optimal control problems

Computational and Applied Mathematics ◽

10.1007/s40314-021-01682-5 ◽

2021 ◽

Vol 40 (8) ◽

Author(s):

Ram Manohar ◽

Rajen Kumar Sinha

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

Control Problems ◽

A Posteriori ◽

Finite Element Approximations ◽

Parabolic Optimal Control

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Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations.,

10.21236/ada099353 ◽

1981 ◽

Author(s):

Rolf Rannacher ◽

Ridgway Scott

Keyword(s):

Finite Element ◽

Error Estimates ◽

Piecewise Linear ◽

Optimal Error Estimates ◽

Optimal Error ◽

Finite Element Approximations ◽

Linear Finite Element

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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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Fractional Crank–Nicolson–Galerkin finite element scheme for the time‐fractional nonlinear diffusion equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22399 ◽

2019 ◽

Vol 35 (6) ◽

pp. 2056-2075 ◽

Author(s):

Dileep Kumar ◽

Sudhakar Chaudhary ◽

V.V.K. Srinivas Kumar

Keyword(s):

Finite Element ◽

Diffusion Equation ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

Finite Element Scheme ◽

Galerkin Finite Element ◽

Element Scheme ◽

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Optimal Error Estimates for hp - Finite Element Approximations of Distributed Parameter LQR Control Problems*

2020 American Control Conference (ACC) ◽

10.23919/acc45564.2020.9147637 ◽

2020 ◽

Author(s):

J. A. Burns ◽

J. Cheung

Keyword(s):

Finite Element ◽

Error Estimates ◽

Optimal Error Estimates ◽

Distributed Parameter ◽

Control Problems ◽

Optimal Error ◽

Finite Element Approximations ◽

Lqr Control ◽

Hp Finite Element

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