Stopping criteria based on <i>a posteriori</i> error estimations for iterative solvers of convection-diffusion equations

Chin-Tien Wu; Ping-Kong Huang

doi:10.4310/amsa.2021.v6.n2.a3

Stopping criteria based on a posteriori error estimations for iterative solvers of convection-diffusion equations

Annals of Mathematical Sciences and Applications ◽

10.4310/amsa.2021.v6.n2.a3 ◽

2021 ◽

Vol 6 (2) ◽

pp. 175-197

Author(s):

Chin-Tien Wu ◽

Ping-Kong Huang

Keyword(s):

Iterative Solvers ◽

Diffusion Equations ◽

A Posteriori ◽

Stopping Criteria ◽

Convection Diffusion ◽

Error Estimations

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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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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 posteriori error estimates for non-stationary non-linear convection–diffusion equations

CALCOLO ◽

10.1007/s10092-018-0263-6 ◽

2018 ◽

Vol 55 (2) ◽

Cited By ~ 1

Author(s):

R. Verfürth

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusion Equations ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion ◽

Non Linear

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Robust A Posteriori Error Estimates for Stationary Convection-Diffusion Equations

SIAM Journal on Numerical Analysis ◽

10.1137/040604261 ◽

2005 ◽

Vol 43 (4) ◽

pp. 1766-1782 ◽

Cited By ~ 82

Author(s):

R. Verfürth

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusion Equations ◽

A Posteriori ◽

Stationary Convection ◽

A Posteriori Error ◽

Convection Diffusion

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A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers

SIAM Journal on Scientific Computing ◽

10.1137/08073706x ◽

2010 ◽

Vol 32 (3) ◽

pp. 1567-1590 ◽

Cited By ~ 54

Author(s):

Pavel Jiránek ◽

Zdeněk Strakoš ◽

Martin Vohralík

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Iterative Solvers ◽

A Posteriori ◽

Stopping Criteria ◽

A Posteriori Error ◽

Algebraic Error

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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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A posteriori error estimates for optimal control problems constrained by convection-diffusion equations

Frontiers of Mathematics in China ◽

10.1007/s11464-015-0456-0 ◽

2015 ◽

Vol 11 (1) ◽

pp. 55-75

Author(s):

Hongfei Fu ◽

Hongxing Rui ◽

Zhaojie Zhou

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusion Equations ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion

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A posteriori discontinuous Galerkin error estimates for transient convection–diffusion equations

Applied Mathematics Letters ◽

10.1016/j.aml.2004.05.019 ◽

2005 ◽

Vol 18 (7) ◽

pp. 833-841 ◽

Cited By ~ 22

Author(s):

Alexandre Ern ◽

Jennifer Proft

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Diffusion Equations ◽

A Posteriori ◽

Convection Diffusion

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A posteriori adaptive mesh technique with a priori error estimates for singularly perturbed semilinear parabolic convection-diffusion equations

International Journal of Computing Science and Mathematics ◽

10.1504/ijcsm.2007.016542 ◽

2007 ◽

Vol 1 (2/3/4) ◽

pp. 374

Author(s):

G.I. Shishkin

Keyword(s):

Error Estimates ◽

A Priori ◽

Adaptive Mesh ◽

Singularly Perturbed ◽

Diffusion Equations ◽

A Posteriori ◽

Convection Diffusion ◽

Priori Error Estimates ◽

Semilinear Parabolic ◽

Mesh Technique

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A posteriori error estimates for subgrid viscosity stabilized approximations of convection–diffusion equations

Applied Mathematics Letters ◽

10.1016/j.aml.2008.12.006 ◽

2009 ◽

Vol 22 (9) ◽

pp. 1418-1424 ◽

Cited By ~ 5

Author(s):

B. Achchab ◽

M. El Fatini ◽

A. Ern ◽

A. Souissi

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusion Equations ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion

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