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A parallel finite volume scheme preserving positivity for diffusion equation on distorted meshes

  • Published:2017-07-14 Issue:6 Volume:33 Page:2159-2178
  • ISSN:0749-159X
  • Container-title:Numerical Methods for Partial Differential Equations
  • language:en
  • Short-container-title:Numer. Methods Partial Differential Eq.

Author:

Sheng Zhiqiang1,Yue Jingyan1,Yuan Guangwei1ORCID

Affiliation:

1. Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics; Beijing China

Funder

National Nature Science Foundation of China

NASF

Science Challenge Project

Foundation of CAEP

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Reference33 articles.

1. Finite volume schemes for diffusion equations: introduction to and review of modern methods;Droniou;Math Models Methods Appl Sci (M3AS),2014

2. A finite volume scheme for diffusion problems on general meshes applying monotony constraints;Angelini;SIAM J Numer Anal,2010

3. Monotonicity recovering and accuracy preserving optimization methods for postprocessing finite element solutions;Burdakov;J Comp Phys,2012

4. Discrete maximum principle and a Delaunay-type mesh condition for linear finite element approximations of two-dimensional anisotropic diffusion problems;Huang;Numer Math Theory Methods Appl,2011

5. Enforcing the discrete maximum principle for linear finite element solutions of second-Order elliptic problems;Liska;Commun Comput Phys,2008

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Parallel domain decomposition schemes based on finite volume element discretization for nonsteady-state diffusion equations on distorted meshes;Computers & Mathematics with Applications;2022-04

2. A new positivity‐preserving domain decomposition method for the 2‐D diffusion equation;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2021-06-21
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