A small stencil and extremum-preserving scheme for anisotropic diffusion problems on arbitrary 2D and 3D meshes-Reference-Cited by-同舟云学术

A small stencil and extremum-preserving scheme for anisotropic diffusion problems on arbitrary 2D and 3D meshes

Published:2013-10 Issue: Volume:250 Page:308-331
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Gao Zhiming,Wu Jiming

Publisher

Elsevier BV

Subject

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

Reference33 articles.

1. Discretization on non-orthogonal, quadrilateral grids for inhomogeneous, anisotropic media;Aavatsmark;J. Comput. Phys.,1996

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

3. A compact multipoint flux approximation method with improved robustness;Aavatsmark;Numer. Methods PDEs,2008

4. A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media;Agelas;C.R. Acad. Sci. Paris Ser.,2009

5. Discrete conservation and discrete maximum principle for elliptic PDEs;Bertolazzi;Math. Models Methods Appl. Sci.,1998

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