Article Dans Une Revue Communications in Nonlinear Science and Numerical Simulation Année : 2020

The Finite Volume Method on Sierpiński Simplices

Résumé

In the sequel, we extend the Strichartz average approach, for the Laplacian on Sierpiński Simplices, which uses average values of a function over basic sets, following the seminal work of Kusuoka and Zhou, rather than using pointwise ones as classically done in the literature. Until now, the implementation of the related finite volume method, in the case of Sierpiński Simplices, had not been done.

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Dates et versions

hal-03045860 , version 1 (08-12-2020)

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Nizar Riane, Claire David. The Finite Volume Method on Sierpiński Simplices. Communications in Nonlinear Science and Numerical Simulation, 2020, 92, pp.105468. ⟨10.1016/j.cnsns.2020.105468⟩. ⟨hal-03045860⟩
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