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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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 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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A posteriori error estimation for quasilinear singularly perturbed problems with integral boundary condition

Numerical Algorithms ◽

10.1007/s11075-021-01134-5 ◽

2021 ◽

Author(s):

Sunil Kumar ◽

Shashikant Kumar ◽

Sumit

Keyword(s):

Boundary Condition ◽

Error Estimation ◽

Posteriori Error ◽

Singularly Perturbed ◽

Integral Boundary Condition ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Singularly Perturbed Problems ◽

Integral Boundary ◽

A Posteriori Error

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A posteriori error estimation for a fully discrete discontinuous Galerkin approximation to a kind of singularly perturbed problems

Finite Elements in Analysis and Design ◽

10.1016/j.finel.2007.03.007 ◽

2007 ◽

Vol 43 (10) ◽

pp. 757-770 ◽

Author(s):

Yanping Chen ◽

Jiming Yang

Keyword(s):

Discontinuous Galerkin ◽

Error Estimation ◽

Galerkin Approximation ◽

Posteriori Error ◽

Singularly Perturbed ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Singularly Perturbed Problems ◽

A Posteriori Error ◽

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A-posteriori error estimation for finite element modifications of line methods applied to singularly perturbed partial differential equations

Applied Numerical Mathematics ◽

10.1016/0168-9274(85)90022-4 ◽

1985 ◽

Vol 1 (2) ◽

pp. 145-176 ◽

Author(s):

Hans-Jürgen Reinhardt

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Singularly Perturbed ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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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 New" Approach"

10.21236/ada284960 ◽

1994 ◽

Author(s):

Patrick J. Rabier

Keyword(s):

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

New Approach ◽

A Posteriori Error

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A Posteriori Error Estimation for a New Stabilized Discontinuous Galerkin Method

10.21236/ada438102 ◽

2002 ◽

Author(s):

A. Romkes ◽

S. Prudhomme ◽

J. T. Oden

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Error Estimation ◽

Discontinuous Galerkin Method ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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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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