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The finite volume method on Sierpiński simplices

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Publication:2211983
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DOI10.1016/j.cnsns.2020.105468zbMath1455.28011arXiv1806.04531OpenAlexW3046695510MaRDI QIDQ2211983

Claire David, Nizar Riane

Publication date: 17 November 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.04531


zbMATH Keywords

convergenceheat equationfinite volume methodLaplacianself-similar sets


Mathematics Subject Classification ID

Fractals (28A80) Infinite graphs (05C63) Finite volume methods for boundary value problems involving PDEs (65N08)


Related Items

Optimal control of the heat equation on a fractal set



Cites Work

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  • The Laplacian on the Sierpinski gasket via the method of averages.
  • On a spectral analysis for the Sierpiński gasket.
  • Dirichlet forms on fractals: Poincaré constant and resistance
  • Fractal differential equations on the Sierpiński gasket
  • Harmonic analysis for resistance forms.
  • Energy form on a closed fractal curve
  • Iterated function systems and the global construction of fractals
  • Existence and uniqueness of diffusions on finitely ramified self-similar fractals
  • The finite difference method for the heat equation on Sierpiński simplices
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