Abstract
An asymmetric version of the gradient discretisation method is developed for linear anisotropic elliptic equations. Error estimates and convergence are proved for this method, which is showed to cover all finite volume methods.
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Notes
- 1.
Vertex-centered FV methods can easily be considered by changing the DOFs.
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Acknowledgements
This work was supported by the ARC DP scheme (project DP170100605).
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Droniou, J., Eymard, R. (2017). The Asymmetric Gradient Discretisation Method. In: Cancès, C., Omnes, P. (eds) Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects . FVCA 2017. Springer Proceedings in Mathematics & Statistics, vol 199. Springer, Cham. https://doi.org/10.1007/978-3-319-57397-7_24
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