A finite volume method preserving maximum principle for the diffusion equations with imperfect interface

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.08.008 ◽

2020 ◽

Vol 158 ◽

pp. 314-335

Author(s):

Huifang Zhou ◽

Zhiqiang Sheng ◽

Guangwei Yuan

Keyword(s):

Maximum Principle ◽

Finite Volume Method ◽

Finite Volume ◽

Imperfect Interface ◽

Diffusion Equations ◽

Download Full-text

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 ◽

Download Full-text

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 ◽

Download Full-text

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 ◽

Download Full-text

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 ◽

Download Full-text

A finite volume method preserving maximum principle for steady heat conduction equations with modified Anderson acceleration

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790.2020.1787054 ◽

2020 ◽

Vol 78 (6) ◽

pp. 412-438

Author(s):

Huifang Zhou ◽

Zhiqiang Sheng ◽

Guangwei Yuan

Keyword(s):

Heat Conduction ◽

Maximum Principle ◽

Finite Volume Method ◽

Finite Volume ◽

Anderson Acceleration ◽

Volume Method ◽

Steady Heat Conduction ◽

Download Full-text

Hybrid Multiscale Finite Volume Method for Advection-Diffusion Equations Subject to Heterogeneous Reactive Boundary Conditions

Multiscale Modeling and Simulation ◽

10.1137/15m1022537 ◽

2016 ◽

Vol 14 (4) ◽

pp. 1341-1376 ◽

Author(s):

David A. Barajas-Solano ◽

A. M. Tartakovsky

Keyword(s):

Boundary Conditions ◽

Finite Volume Method ◽

Finite Volume ◽

Diffusion Equations ◽

Advection Diffusion ◽

Multiscale Finite Volume ◽

Download Full-text

A Second-Order Maximum Principle Preserving Finite Volume Method for Steady Convection-Diffusion Problems

SIAM Journal on Numerical Analysis ◽

10.1137/040607071 ◽

2005 ◽

Vol 43 (5) ◽

pp. 2172-2199 ◽

Author(s):

Enrico Bertolazzi ◽

Gianmarco Manzini

Keyword(s):

Maximum Principle ◽

Finite Volume Method ◽

Finite Volume ◽

Second Order ◽

Convection Diffusion ◽

Volume Method ◽

Steady Convection ◽

Diffusion Problems

Download Full-text

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 ◽

Download Full-text

A Monotone Non-linear Finite Volume Method for Advection-diffusion Equations and Multiphase Flows

ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery ◽

10.3997/2214-4609.20143223 ◽

2012 ◽

Author(s):

K. Nikitin ◽

Y. Vassilevski

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Multiphase Flows ◽

Diffusion Equations ◽

Advection Diffusion ◽

Download Full-text

A monotone finite volume method for advection–diffusion equations on unstructured polygonal meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2010.01.035 ◽

2010 ◽

Vol 229 (11) ◽

pp. 4017-4032 ◽

Author(s):

K. Lipnikov ◽

D. Svyatskiy ◽

Y. Vassilevski

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Diffusion Equations ◽

Polygonal Meshes ◽

Advection Diffusion ◽

Download Full-text