Tessellated continuum mechanics: A Galerkin finite element method

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    This paper tests the hypothesis that the tessellation used in tessellated continuum mechanics can form a mesh in a continuous Galerkin finite element method. Although the tessellation is not unique, neither is it arbitrary, and its construction imposes constraints on any numerical analysis. A distinctive feature of the tessellation is that it can possess highly distorted elements yet—as a consequence of associated anisotropy in material properties—can still return accurate results. The numerical procedure is tested on classical fractal porous geometries to demonstrate the potential of the method, and also illustrate the capability for analysis of disparate porous materials on continua.

    Original languageEnglish
    Pages (from-to)157-183
    Number of pages27
    JournalComputers and Structures
    Early online date12 Aug 2016
    Publication statusPublished - 15 Oct 2016


    • Heat transfer
    • Numerical solutions
    • Porous fractals
    • Transport theory


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