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math.CO2018
The finite volume method on Sierpiński simplices
Nizare Riane, Claire David
In this work, we exploit Strichartz average approach \cite{Strichartz2001} to define the Laplacian on Sierpiński gasket, in the construction of the finite volume method. The approa…
math.CO2017
Laplacian, on the Sierpinski tetrahedron
Nizare Riane, Claire David
Numerous work revolve around the Sierpinski gasket. Its three-dimensional analogue, the Sierpinski tetrahedron, obtained by means of an iterative process which consists in repeated…