An enhanced flux continuity three-dimensional finite element method for heterogeneous and anisotropic diffusion problems on general meshes-Reference-Cited by-同舟云学术

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An enhanced flux continuity three-dimensional finite element method for heterogeneous and anisotropic diffusion problems on general meshes

Published:2024-03-30 Issue:1 Volume:145 Page:
ISSN:0022-0833
Container-title:Journal of Engineering Mathematics
language:en
Short-container-title:J Eng Math

Author:

Hai Ong Thanh,Nguyen Thi Hoai Thuong,Le Anh Ha,Do Vuong Nguyen Van

Funder

National Foundation for Science and Technology Development

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s10665-024-10347-1.pdf

Reference25 articles.

1. Lai X, Sheng Z, Yuan G (2015) A finite volume scheme for three-dimensional diffusion equations. Commun Comput Phys 18(3):650–672

2. Droniou J, Eymard R (2006) A mixed finite volume scheme for anisotropic diffusion problems on any grid. Numer Math 105:35–71

3. Eymard R, Herbin R, Guichard C, Masson R (2012) Vertex-centred discretization of multiphase compositional Darcy flows on general meshes. Comput Geosci 16(4):987–1005

4. Coudière Y, Hubert F (2011) A 3D discrete duality finite volume method for nonlinear elliptic equations. SIAM J Sci Comput 33(4):1739–1764

5. Andreianov B, Hubert F, Krell S (2011) Benchmark 3D: a version of the DDFV scheme with Cell/Vertex unknowns on general meshes. In: For̆t J, Fürst J, Halama J, Herbin R, Hubert F (eds) Finite volumes for complex applications VI—problems & perspectives. Springer, Berlin, pp 937–948

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1. Correction: An enhanced flux continuity three-dimensional finite element method for heterogeneous and anisotropic diffusion problems on general meshes;Journal of Engineering Mathematics;2024-04-20

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