The finite volume method on Sierpi\'nski simplices
Combinatorics
2018-06-21 v2
Abstract
In this work, we exploit Strichartz average approach \cite{Strichartz2001} to define the Laplacian on Sierpi\'{n}ski gasket, in the construction of the finite volume method. The approach present sum similarities with the finite difference approach in terms of stability and convergence.
Cite
@article{arxiv.1806.04531,
title = {The finite volume method on Sierpi\'nski simplices},
author = {Nizare Riane and Claire David},
journal= {arXiv preprint arXiv:1806.04531},
year = {2018}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1802.09925