A posteriori error estimation for arbitrary order FEM applied to singularly perturbed one-dimensional reaction-diffusion problems

Applications of Mathematics ◽

10.1007/s10492-014-0052-8 ◽

2014 ◽

Vol 59 (3) ◽

pp. 241-256 ◽

Author(s):

Torsten Linss

Keyword(s):

Error Estimation ◽

Arbitrary Order ◽

Reaction Diffusion ◽

Posteriori Error ◽

Singularly Perturbed ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

One Dimensional ◽

Diffusion Problems

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Reliable and Robust A Posteriori Error Estimation for Singularly Perturbed Reaction-Diffusion Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s003614299732187x ◽

1999 ◽

Vol 36 (2) ◽

pp. 331-353 ◽

Author(s):

Mark Ainsworth ◽

Ivo Babuska

Keyword(s):

Error Estimation ◽

Reaction Diffusion ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Singularly Perturbed ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Diffusion Problems

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A-posteriori error estimation in maximum norm for a strongly coupled system of two singularly perturbed convection–diffusion problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.08.020 ◽

2017 ◽

Vol 313 ◽

pp. 152-167 ◽

Author(s):

Li-Bin Liu ◽

Yanping Chen

Keyword(s):

Error Estimation ◽

Coupled System ◽

Posteriori Error ◽

Singularly Perturbed ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Strongly Coupled ◽

Convection Diffusion ◽

Diffusion Problems

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Maximum Norm a Posteriori Error Estimation for a System of Singularly Perturbed Semilinear Reaction-Diffusion Equations

Numerical Analysis and Applicable Mathematics ◽

10.36686/ariviyal.naam.2020.01.01.003 ◽

2020 ◽

Vol 1 (1) ◽

Author(s):

Ying Liang ◽

Xiaobing Bao ◽

Li-Bin Liu

Keyword(s):

Error Estimation ◽

Reaction Diffusion ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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A posteriori error estimation for a singularly perturbed Volterra integro-differential equation

Numerical Algorithms ◽

10.1007/s11075-019-00693-y ◽

2019 ◽

Vol 83 (2) ◽

pp. 549-563 ◽

Author(s):

Jian Huang ◽

Zhongdi Cen ◽

Aimin Xu ◽

Li-Bin Liu

Keyword(s):

Differential Equation ◽

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Singularly Perturbed ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Integro Differential Equation

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A simple approach to reliable and robust a posteriori error estimation for singularly perturbed problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.05.014 ◽

2019 ◽

Vol 353 ◽

pp. 373-390 ◽

Author(s):

Mark Ainsworth ◽

Tomáš Vejchodský

Keyword(s):

Error Estimation ◽

Posteriori Error ◽

Simple Approach ◽

A Posteriori Error Estimation ◽

Singularly Perturbed ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Singularly Perturbed Problems ◽

A Posteriori Error

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A posteriori error estimation in maximum norm for a system of singularly perturbed Volterra integro-differential equations

Computational and Applied Mathematics ◽

10.1007/s40314-020-01303-7 ◽

2020 ◽

Vol 39 (4) ◽

Author(s):

Ying Liang ◽

Li-Bin Liu ◽

Zhongdi Cen

Keyword(s):

Differential Equations ◽

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Singularly Perturbed ◽

Maximum Norm ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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Maximum Norm a Posteriori Error Estimation For a Time-dependent Reaction-diffusion Problem

Computational Methods in Applied Mathematics ◽

10.2478/cmam-2012-0013 ◽

2012 ◽

Vol 12 (2) ◽

Author(s):

Natalia Kopteva ◽

Torsten Linß

Keyword(s):

Error Estimation ◽

Reaction Diffusion ◽

Posteriori Error ◽

Diffusion Problem ◽

A Posteriori Error Estimation ◽

Time Dependent ◽

Maximum Norm ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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Maximum-Norm A Posteriori Error Estimates for Singularly Perturbed Reaction-Diffusion Problems on Anisotropic Meshes

SIAM Journal on Numerical Analysis ◽

10.1137/140983458 ◽

2015 ◽

Vol 53 (6) ◽

pp. 2519-2544 ◽

Author(s):

Natalia Kopteva

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Reaction Diffusion ◽

Posteriori Error ◽

Singularly Perturbed ◽

Maximum Norm ◽

A Posteriori ◽

A Posteriori Error ◽

Anisotropic Meshes ◽

Diffusion Problems

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Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems

Numerische Mathematik ◽

10.1007/s00211-015-0763-0 ◽

2015 ◽

Vol 133 (4) ◽

pp. 707-742 ◽

Author(s):

Alan Demlow ◽

Natalia Kopteva

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Reaction Diffusion ◽

Posteriori Error ◽

Singularly Perturbed ◽

Maximum Norm ◽

A Posteriori ◽

A Posteriori Error ◽

Diffusion Problems

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A posteriori error estimation for the one-dimensional arbitrarily high-order transport-nodal method

Annals of Nuclear Energy ◽

10.1016/s0306-4549(99)00071-7 ◽

2000 ◽

Vol 27 (4) ◽

pp. 355-369 ◽

Author(s):

Oscar M. Zamonsky ◽

Gustavo C. Buscaglia ◽

Yousry Y. Azmy

Keyword(s):

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

One Dimensional ◽

Nodal Method ◽

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