A posteriori error estimates and an adaptive finite element solution for the system of unsteady convection-diffusion-reaction equations in fluidized beds

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.01.012 ◽

2021 ◽

Vol 163 ◽

pp. 108-125

Author(s):

V. Dhanya Varma ◽

Suresh Kumar Nadupuri ◽

Nagaiah Chamakuri

Keyword(s):

Fluidized Beds ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusion Reaction ◽

Adaptive Finite Element ◽

Element Solution ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion ◽

Reaction Equations

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A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations

SIAM Journal on Numerical Analysis ◽

10.1137/060653184 ◽

2007 ◽

Vol 45 (4) ◽

pp. 1570-1599 ◽

Cited By ~ 72

Author(s):

Martin Vohralík

Keyword(s):

Mixed Finite Element ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusion Reaction ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion ◽

Finite Element Discretizations ◽

Reaction Equations ◽

Element Discretizations

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A posteriori error estimates for finite volume and mixed finite element discretizations of convection–diffusion–reaction equations

ESAIM Proceedings ◽

10.1051/proc:071806 ◽

2007 ◽

Vol 18 ◽

pp. 57-69 ◽

Cited By ~ 2

Author(s):

Martin Vohralík

Keyword(s):

Mixed Finite Element ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusion Reaction ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion ◽

Finite Element Discretizations ◽

Reaction Equations ◽

Element Discretizations

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On Residual-Based a Posteriori Error Estimators for Lowest-Order Raviart-Thomas Element Approximation to Convection-Diffusion-Reaction Equations

Journal of Computational Mathematics ◽

10.4208/jcm.1403-fe4 ◽

2014 ◽

Vol 32 (5) ◽

pp. 522-546 ◽

Cited By ~ 3

Author(s):

Shaohong Du and Xiaoping Xie

Keyword(s):

Posteriori Error ◽

Diffusion Reaction ◽

Element Approximation ◽

A Posteriori ◽

A Posteriori Error Estimators ◽

A Posteriori Error ◽

Convection Diffusion ◽

Error Estimators ◽

Posteriori Error Estimators ◽

Reaction Equations

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A Posteriori Error Estimates for Unsteady Convection–Diffusion–Reaction Problems and the Finite Volume Method

Finite Volumes for Complex Applications VI Problems & Perspectives - Springer Proceedings in Mathematics ◽

10.1007/978-3-642-20671-9_23 ◽

2011 ◽

pp. 215-223

Author(s):

Nancy Chalhoub ◽

Alexandre Ern ◽

Tony Sayah ◽

Martin Vohralı́k

Keyword(s):

Finite Volume Method ◽

Error Estimates ◽

Finite Volume ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusion Reaction ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion ◽

Volume Method

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A posteriori error estimates for the time-dependent convection-diffusion-reaction equation coupled with the Darcy system

Numerical Algorithms ◽

10.1007/s11075-021-01152-3 ◽

2021 ◽

Author(s):

Nancy Chalhoub ◽

Pascal Omnes ◽

Toni Sayah ◽

Rebecca El Zahlaniyeh

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Time Dependent ◽

Diffusion Reaction ◽

A Posteriori ◽

Reaction Equation ◽

A Posteriori Error ◽

Convection Diffusion

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Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection–diffusion–reaction problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.12.009 ◽

2010 ◽

Vol 234 (1) ◽

pp. 114-130 ◽

Cited By ~ 63

Author(s):

Alexandre Ern ◽

Annette F. Stephansen ◽

Martin Vohralík

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusion Reaction ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion

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Aspects of an adaptive finite element method for the fractional Laplacian: A priori and a posteriori error estimates, efficient implementation and multigrid solver

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2017.08.019 ◽

2017 ◽

Vol 327 ◽

pp. 4-35 ◽

Cited By ~ 25

Author(s):

Mark Ainsworth ◽

Christian Glusa

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fractional Laplacian ◽

A Priori ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Adaptive Finite Element Method ◽

Adaptive Finite Element ◽

A Posteriori ◽

A Posteriori Error

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A posteriori error analysis of IMEX multi-step time integration methods for advection–diffusion–reaction equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.11.015 ◽

2015 ◽

Vol 285 ◽

pp. 730-751 ◽

Cited By ~ 12

Author(s):

Jehanzeb H. Chaudhry ◽

Donald Estep ◽

Victor Ginting ◽

John N. Shadid ◽

Simon Tavener

Keyword(s):

Time Integration ◽

Posteriori Error ◽

Diffusion Reaction ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Time Integration Methods ◽

Posteriori Error Analysis ◽

Reaction Equations ◽

Advection Diffusion Reaction Equations

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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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