Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes-Reference-Cited by-同舟云学术

Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes

Published:2007-11 Issue:1 Volume:227 Page:492-512
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Lipnikov K.,Shashkov M.,Svyatskiy D.,Vassilevski Yu.

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference21 articles.

1. Discretization on unstructured grids for inhomogeneous, anisotropic media. Part I: derivation of the methods;Aavatsmark;SIAM J. Sci. Comput.,1998

2. Monotonicity of control volume methods;Aavatsmark;Numer. Math., APR,2007

3. The Andra Couplex 1 test case: comparisons between finite element, mixed hybrid finite element and finite volume discretizations;Bernard-Michel;Comput. Geosci.,2004

4. The COUPLEX test cases: nuclear waste disposal simulation;Bourgeat;Comput. Geosci.,2004

5. A new discretization methodology for diffusion problems on generalized polyhedral meshes;Brezzi;Comput. Methods Appl. Mech. Eng.,2007

Cited by 227 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. A maximum principle preserving meshfree method for anisotropic diffusion equations;Journal of Computational Physics;2024-12

2. Development of a method for solving elliptic differential equations based on a nonlinear compact-polynomial scheme;Journal of Computational and Applied Mathematics;2024-12

3. A nonlinear finite volume element method preserving the discrete maximum principle for heterogeneous anisotropic diffusion equations;Journal of Computational and Applied Mathematics;2024-12

4. Modeling Radiation Belt Dynamics Using a Positivity‐Preserving Finite Volume Method on General Meshes;Journal of Geophysical Research: Space Physics;2024-09

5. A modified Flux Corrected Transport method coupled with the MPFA-H formulation for the numerical simulation of two-phase flows in petroleum reservoirs using 2D unstructured meshes;Computational Geosciences;2024-08-09