A new finite volume method for the solution of convection-diffusion equations: analysis of stability and convergence

Communications in Numerical Methods in Engineering ◽

10.1002/(sici)1099-0887(199712)13:12<923::aid-cnm122>3.0.co;2-f ◽

1997 ◽

Vol 13 (12) ◽

pp. 923-940 ◽

Author(s):

E. Cordero ◽

L. De Biase ◽

V. Pennati

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Diffusion Equations ◽

Stability And Convergence ◽

Convection Diffusion ◽

Analysis Of Stability ◽

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An upwind finite volume method for convection-diffusion equations on rectangular mesh

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2018.09.011 ◽

2019 ◽

Vol 118 ◽

pp. 159-165 ◽

Author(s):

Jiawei Tan

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Diffusion Equations ◽

Convection Diffusion ◽

Rectangular Mesh ◽

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Stability and convergence of a finite volume method for two systems of reaction-diffusion equations in electro-cardiology

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2005.02.006 ◽

2006 ◽

Vol 7 (4) ◽

pp. 916-935 ◽

Author(s):

Yves Coudière ◽

Charles Pierre

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Stability And Convergence ◽

Two Systems ◽

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Optimal weighted upwind finite volume method for convection–diffusion equations in 2D

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.03.018 ◽

2019 ◽

Vol 359 ◽

pp. 73-87 ◽

Author(s):

Yulong Gao ◽

Dong Liang ◽

Yonghai Li

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Diffusion Equations ◽

Convection Diffusion ◽

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A super-convergent unsymmetric finite volume method for convection–diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.03.017 ◽

2019 ◽

Vol 358 ◽

pp. 179-189 ◽

Author(s):

Lutz Angermann ◽

Song Wang

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Diffusion Equations ◽

Convection Diffusion ◽

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Stability and convergence of a Crank–Nicolson finite volume method for space fractional diffusion equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.01.005 ◽

2019 ◽

Vol 139 ◽

pp. 38-51 ◽

Author(s):

Hongfei Fu ◽

Yanan Sun ◽

Hong Wang ◽

Xiangcheng Zheng

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Stability And Convergence ◽

Fractional Diffusion Equations ◽

Volume Method ◽

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A finite volume method for the approximation of convection-diffusion equations on general meshes

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.4325 ◽

2012 ◽

Vol 91 (12) ◽

pp. 1331-1357 ◽

Author(s):

F. Hermeline

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Diffusion Equations ◽

Convection Diffusion ◽

Volume Method ◽

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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 finite volume method based on radial basis functions for two-dimensional nonlinear diffusion equations

Applied Mathematical Modelling ◽

10.1016/j.apm.2005.07.007 ◽

2006 ◽

Vol 30 (10) ◽

pp. 1118-1133 ◽

Author(s):

T.J. Moroney ◽

I.W. Turner

Keyword(s):

Finite Volume Method ◽

Radial Basis Functions ◽

Finite Volume ◽

Nonlinear Diffusion ◽

Basis Functions ◽

Diffusion Equations ◽

Two Dimensional ◽

Nonlinear Diffusion Equations ◽

Radial Basis ◽

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A finite volume method with a modified ENO scheme using a Hermite interpolation to solve advection diffusion equations

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.123 ◽

2001 ◽

Vol 50 (10) ◽

pp. 2339-2371 ◽

Author(s):

A. Balaguer ◽

C. Conde ◽

J. A. López ◽

V. Martínez

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Hermite Interpolation ◽

Diffusion Equations ◽

Advection Diffusion ◽

Volume Method ◽

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Benchmark 3D: A Monotone Nonlinear Finite Volume Method for Diffusion Equations on Polyhedral Meshes

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

10.1007/978-3-642-20671-9_97 ◽

2011 ◽

pp. 993-1003 ◽

Author(s):

Alexander Danilov ◽

Yuri Vassilevski

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Diffusion Equations ◽

Polyhedral Meshes ◽

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