A vertex-centered linearity-preserving discretization of diffusion problems on polygonal meshes-Reference-Cited by-同舟云学术

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A vertex-centered linearity-preserving discretization of diffusion problems on polygonal meshes

Published:2015-10-13 Issue:3 Volume:81 Page:131-150
ISSN:0271-2091
Container-title:International Journal for Numerical Methods in Fluids
language:en
Short-container-title:Int. J. Numer. Meth. Fluids

Author:

Wu Jiming¹,Gao Zhiming¹,Dai Zihuan¹

Affiliation:

1. Institute of Applied Physics and Computational Mathematics; PO Box 8009 Beijing 100088 China

Funder

National Natural Science Fund of China

Foundation of President of China Academy of Engineering Physics

Defense Industrial Technology Development Program

Publisher

Wiley

Subject

Applied Mathematics,Computer Science Applications,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/fld.4178/fullpdf

Reference34 articles.

1. Dynamics of quasi-spherical Z-pinch implosions with mass redistribution and displacement modification;Zhang;Physics of Plasmas,2012

2. Mimetic finite differences for elliptic problems;Brezzi;ESAIM: M2AN,2009

3. Arbitrary-order nodal mimetic discretizations of elliptic problems on polygonal meshes;Veiga;SIAM Journal on Numerical Analysis,2011

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2. A symmetric and coercive finite volume scheme preserving the discrete maximum principle for anisotropic diffusion equations on star-shaped polygonal meshes;Applied Numerical Mathematics;2024-04

3. A novel vertex-centered finite volume method for solving Richards' equation and its adaptation to local mesh refinement;Journal of Computational Physics;2024-03

4. New quadratic/serendipity finite volume element solutions on arbitrary triangular/quadrilateral meshes;Numerical Methods for Partial Differential Equations;2024-02-14

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