On pointwise error estimates for Voronoï-based finite volume methods for the Poisson equation on the sphere
Author:
Funder
FAPESP
CAPES
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s10444-023-10041-3.pdf
Reference58 articles.
1. Aubin, T.: Some Nonlinear Problems in Riemannian Geometry. Springer Science & Business Media (2013)
2. Augenbaum, J.M., Peskin, C.S.: On the construction of the Voronoi mesh on a sphere. J. Comput. Phys. 59(2), 177–192 (1985)
3. Barbeiro, S.: Supraconvergent cell-centered scheme for two dimensional elliptic problems. Appl. Numer. Math. IMACS J. 59(1), 56–72 (2009)
4. Baumgardner, J.R., Frederickson, P.O.: Icosahedral discretization of the two-sphere. SIAM J. Numer. Anal. 22(6), 1107–1115 (1985)
5. Bessemoulin-Chatard, M., Chainais-Hillairet, C., Filbet, F.: On discrete functional inequalities for some finite volume schemes. IMA J. Numer. Anal. 35(3), 1125–1149 (2015)
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