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A face-centred finite volume method for second-order elliptic problems

Author
Sevilla, R.; Giacomini, M.; Huerta, A.
Type of activity
Journal article
Journal
International journal for numerical methods in engineering
Date of publication
2018-08-24
Volume
115
Number
8
First page
986
Last page
1014
DOI
https://doi.org/10.1002/nme.5833 Open in new window
Repository
http://hdl.handle.net/2117/121553 Open in new window
URL
https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.5833 Open in new window
Abstract
This work proposes a novel finite volume paradigm, the face-centred finite volume (FCFV) method. Contrary to the popular vertex (VCFV) and cell (CCFV) centred finite volume methods, the novel FCFV defines the solution on the mesh faces (edges in 2D) to construct locally-conservative numerical schemes. The idea of the FCFV method stems from a hybridisable discontinuous Galerkin (HDG) formulation with constant degree of approximation, thus inheriting the convergence properties of the classical HDG...
Citation
Sevilla, R., Giacomini, M., Huerta, A. A face-centred finite volume method for second-order elliptic problems. "International journal for numerical methods in engineering", 24 Agost 2018, vol. 115, núm. 8, p. 986-1014.
Keywords
face-centred, finite volume method, hybridisable discontinuous Galerkin, lowest-order approximation
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

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