An Efficient DWR-Type a Posteriori Error Bound of SDFEM for Singularly Perturbed Convection–Diffusion PDEs

D. Avijit; S. Natesan

doi:10.1007/s10915-021-01749-9

An Efficient DWR-Type a Posteriori Error Bound of SDFEM for Singularly Perturbed Convection–Diffusion PDEs

Journal of Scientific Computing ◽

10.1007/s10915-021-01749-9 ◽

2022 ◽

Vol 90 (2) ◽

Author(s):

D. Avijit ◽

S. Natesan

Keyword(s):

Error Bound ◽

Type A ◽

Posteriori Error ◽

Singularly Perturbed ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion

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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 ◽

Cited By ~ 9

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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A posteriori error estimate for finite volume approximations to singularly perturbed nonlinear convection-diffusion equations

Numerische Mathematik ◽

10.1007/pl00005431 ◽

2001 ◽

Vol 87 (4) ◽

pp. 737-761 ◽

Cited By ~ 30

Author(s):

Mario Ohlberger

Keyword(s):

Error Estimate ◽

Posteriori Error ◽

A Posteriori Error Estimate ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Posteriori Error Estimate ◽

A Posteriori ◽

Nonlinear Convection ◽

A Posteriori Error ◽

Convection Diffusion

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A Robust Residual-Type a Posteriori Error Estimator for Convection–Diffusion Equations

Journal of Scientific Computing ◽

10.1007/s10915-014-9972-4 ◽

2014 ◽

Vol 65 (1) ◽

pp. 138-170 ◽

Cited By ~ 5

Author(s):

Shaohong Du ◽

Zhimin Zhang

Keyword(s):

Type A ◽

Posteriori Error ◽

Diffusion Equations ◽

Error Estimator ◽

A Posteriori ◽

A Posteriori Error Estimator ◽

Posteriori Error Estimator ◽

A Posteriori Error ◽

Convection Diffusion

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Robust recovery-type a posteriori error estimators for streamline upwind/Petrov Galerkin discretizations for singularly perturbed problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.05.020 ◽

2021 ◽

Author(s):

Shaohong Du ◽

Runchang Lin ◽

Zhimin Zhang

Keyword(s):

Type A ◽

Posteriori Error ◽

Singularly Perturbed ◽

A Posteriori ◽

A Posteriori Error Estimators ◽

Singularly Perturbed Problems ◽

A Posteriori Error ◽

Error Estimators ◽

Posteriori Error Estimators

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A-posteriori error analysis and adaptive finite element methods for singularly perturbed convection-diffusion equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1670040134 ◽

1982 ◽

Vol 4 (1) ◽

pp. 529-548 ◽

Cited By ~ 7

Author(s):

Hans-Jürgen Reinhardt ◽

W. Wendland

Keyword(s):

Posteriori Error ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Adaptive Finite Element ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

Adaptive Finite Element Methods ◽

A Posteriori Error ◽

Convection Diffusion ◽

Posteriori Error Analysis

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A robust a-posteriori error estimator for discontinuous Galerkin methods for convection–diffusion equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2008.12.014 ◽

2009 ◽

Vol 59 (9) ◽

pp. 2236-2255 ◽

Cited By ~ 37

Author(s):

Dominik Schötzau ◽

Liang Zhu

Keyword(s):

Discontinuous Galerkin Methods ◽

Posteriori Error ◽

Diffusion Equations ◽

Error Estimator ◽

Galerkin Methods ◽

A Posteriori ◽

A Posteriori Error Estimator ◽

Posteriori Error Estimator ◽

A Posteriori Error ◽

Convection Diffusion

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Maximum norm a posteriori error estimates for a 1D singularly perturbed semilinear reaction-diffusion problem

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drl020 ◽

2006 ◽

Vol 27 (3) ◽

pp. 576-592 ◽

Cited By ~ 16

Author(s):

N. Kopteva

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Reaction Diffusion ◽

Posteriori Error ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Maximum Norm ◽

A Posteriori ◽

A Posteriori Error

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Residual type a posteriori error estimates for elliptic obstacle problems

Numerische Mathematik ◽

10.1007/s002110050009 ◽

2000 ◽

Vol 84 (4) ◽

pp. 527-548 ◽

Cited By ~ 107

Author(s):

Zhiming Chen ◽

Ricardo H. Nochetto

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Type A ◽

Posteriori Error ◽

Obstacle Problems ◽

A Posteriori ◽

A Posteriori Error

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Guaranteed a posteriori error estimates for nonconforming finite element approximations to a singularly perturbed reaction–diffusion problem

Applied Numerical Mathematics ◽

10.1016/j.apnum.2015.02.002 ◽

2015 ◽

Vol 94 ◽

pp. 1-15 ◽

Cited By ~ 1

Author(s):

Bei Zhang ◽

Shaochun Chen ◽

Jikun Zhao

Keyword(s):

Finite Element ◽

A Posteriori Error Estimates ◽

Reaction Diffusion ◽

Posteriori Error ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Nonconforming Finite Element ◽

A Posteriori ◽

A Posteriori Error ◽

Finite Element Approximations

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Recovery type a posteriori error estimates in finite element methods

Korean Journal of Computational & Applied Mathematics ◽

10.1007/bf02941963 ◽

2001 ◽

Vol 8 (2) ◽

Cited By ~ 3

Author(s):

Zhimin Zhang ◽

Ningning Yan

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

A Posteriori Error Estimates ◽

Type A ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error

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