A posteriori residual error estimation of a cell-centered finite volume method

Comptes Rendus Mathematique ◽

10.1016/j.crma.2003.10.040 ◽

2004 ◽

Vol 338 (5) ◽

pp. 419-424 ◽

Author(s):

Serge Nicaise

Keyword(s):

Finite Volume Method ◽

Error Estimation ◽

Finite Volume ◽

Residual Error ◽

A Posteriori ◽

A Cell ◽

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A POSTERIORI ERROR ESTIMATION FOR A CUT CELL FINITE VOLUME METHOD WITH UNCERTAIN INTERFACE LOCATION

International Journal for Uncertainty Quantification ◽

10.1615/int.j.uncertaintyquantification.2015012533 ◽

2015 ◽

Vol 5 (5) ◽

pp. 415-432 ◽

Author(s):

J. B. Collins ◽

Donald Estep ◽

Simon Tavener

Keyword(s):

Finite Volume Method ◽

Error Estimation ◽

Finite Volume ◽

Posteriori Error ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Cut Cell ◽

Interface Location ◽

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An analysis of a cell-vertex finite volume method for a parabolic convection-diffusion problem

Mathematics of Computation ◽

10.1090/s0025-5718-97-00795-3 ◽

1997 ◽

Vol 66 (217) ◽

pp. 105-125 ◽

Author(s):

Wen Guo ◽

Martin Stynes

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Diffusion Problem ◽

Convection Diffusion ◽

A Cell ◽

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A cell-centred finite volume method for the Poisson problem on non-graded quadtrees with second order accurate gradients

Journal of Computational Physics ◽

10.1016/j.jcp.2016.11.035 ◽

2017 ◽

Vol 331 ◽

pp. 49-72 ◽

Author(s):

Christopher Batty

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Second Order ◽

Poisson Problem ◽

A Cell ◽

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Comparison of Truncation Error Estimators for Defect Correction and Output Error Estimation in the Unstructured Mesh Finite Volume Method

22nd AIAA Computational Fluid Dynamics Conference ◽

10.2514/6.2015-2748 ◽

2015 ◽

Author(s):

Mahkame Sharbatdar ◽

Carl F. Ollivier Gooch

Keyword(s):

Finite Volume Method ◽

Error Estimation ◽

Finite Volume ◽

Truncation Error ◽

Unstructured Mesh ◽

Defect Correction ◽

Error Estimators ◽

Output Error ◽

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Analysis of a cell-vertex finite volume method for convection-diffusion problems

Irish Mathematical Society Bulletin ◽

10.33232/bims.0036.67 ◽

1996 ◽

Vol 0036 ◽

pp. 67-67

Author(s):

K. W. Morton ◽

M. Stynes ◽

E. Süli

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Convection Diffusion ◽

A Cell ◽

Volume Method ◽

Diffusion Problems

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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 ◽

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A cell-centered multipoint flux approximation method with a diamond stencil coupled with a higher order finite volume method for the simulation of oil–water displacements in heterogeneous and anisotropic petroleum reservoirs

Computers & Fluids ◽

10.1016/j.compfluid.2015.11.013 ◽

2016 ◽

Vol 127 ◽

pp. 1-16 ◽

Author(s):

F.R.L. Contreras ◽

P.R.M. Lyra ◽

M.R.A. Souza ◽

D.K.E. Carvalho

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Approximation Method ◽

Petroleum Reservoirs ◽

Higher Order ◽

Flux Approximation ◽

A Cell ◽

Oil Water ◽

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Solution of Radiative Heat Transfer in 2-D Geometries by a Modified Finite-Volume Method Based on a Cell Vertex Scheme Using Unstructured Triangular Meshes

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790600762805 ◽

2007 ◽

Vol 51 (2) ◽

pp. 97-119 ◽

Author(s):

F. Asllanaj ◽

V. Feldheim ◽

P. Lybaert

Keyword(s):

Heat Transfer ◽

Finite Volume Method ◽

Finite Volume ◽

Radiative Heat Transfer ◽

Radiative Heat ◽

Triangular Meshes ◽

A Cell ◽

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A cell vertex and cell centred finite volume method for plate bending analysis

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2003.08.005 ◽

2004 ◽

Vol 193 (33-35) ◽

pp. 3457-3470 ◽

Author(s):

N. Fallah

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Plate Bending ◽

Bending Analysis ◽

A Cell ◽

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Element residual error estimate for the finite volume method

Computers & Fluids ◽

10.1016/s0045-7930(02)00004-x ◽

2003 ◽

Vol 32 (2) ◽

pp. 223-248 ◽

Author(s):

H. Jasak ◽

A.D. Gosman

Keyword(s):

Error Estimate ◽

Finite Volume Method ◽

Finite Volume ◽

Residual Error ◽

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