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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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 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 combined finite volume–finite element discretizations of reactive transport equations on nonmatching grids

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2010.08.017 ◽

2011 ◽

Vol 200 (5-8) ◽

pp. 597-613 ◽

Cited By ~ 9

Author(s):

Danielle Hilhorst ◽

Martin Vohralík

Keyword(s):

Finite Element ◽

Error Estimates ◽

Reactive Transport ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Nonmatching Grids ◽

Finite Element Discretizations ◽

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 nonlinear problems. $L^r$-estimates for finite element discretizations of elliptic equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1998320708171 ◽

1998 ◽

Vol 32 (7) ◽

pp. 817-842 ◽

Cited By ~ 7

Author(s):

R. Verfürth

Keyword(s):

Finite Element ◽

Error Estimates ◽

Elliptic Equations ◽

A Posteriori Error Estimates ◽

Nonlinear Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Finite Element Discretizations ◽

Element Discretizations

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A posteriori error estimates for nonlinear problems. Finite element discretizations of elliptic equations

Mathematics of Computation ◽

10.1090/s0025-5718-1994-1213837-1 ◽

1994 ◽

Vol 62 (206) ◽

pp. 445-445 ◽

Cited By ~ 6

Author(s):

R. Verf{ürth

Keyword(s):

Finite Element ◽

Error Estimates ◽

Elliptic Equations ◽

A Posteriori Error Estimates ◽

Nonlinear Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Finite Element Discretizations ◽

Element Discretizations

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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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A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements

Mathematics of Computation ◽

10.1090/s0025-5718-99-01125-4 ◽

1999 ◽

Vol 68 (228) ◽

pp. 1347-1379 ◽

Cited By ~ 58

Author(s):

Barbara I. Wohlmuth ◽

Ronald H. W. Hoppe

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Estimators ◽

A Posteriori Error ◽

Error Estimators ◽

Finite Element Discretizations ◽

Posteriori Error Estimators ◽

Element Discretizations

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