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    A multiscale formulation for FEM and IgA

    Access Status
    Fulltext not available
    Authors
    Mora Paz, J.
    Mantilla Gonzalez, J.
    Calo, Victor
    Date
    2017
    Type
    Journal Article
    
    Metadata
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    Citation
    Mora Paz, J. and Mantilla Gonzalez, J. and Calo, V. 2017. A multiscale formulation for FEM and IgA. Boletín de Matemáticas / Mathematics Bulletin. 24 (1): pp. 101-115.
    Source Title
    Boletín de Matemáticas / Mathematics Bulletin
    Additional URLs
    https://revistas.unal.edu.co/index.php/bolma
    ISSN
    0120-0380
    School
    School of Earth and Planetary Sciences (EPS)
    URI
    http://hdl.handle.net/20.500.11937/65507
    Collection
    • Curtin Research Publications
    Abstract

    A numerical method is formulated based on Finite Elements, Iso- geometric Analysis and a Multiscale technique. Isogeometric Analysis, which uses B-Splines and NURBS as basis functions, is applied to evaluate its performance. The analyzed PDE is Poisson's Equation. The method starts with a coarse mesh which is refined to obtain each scale, considering every current scale mesh's element as a subdomain to the following scale. Local problems of each subdomain are solved independently, and the system is executed iteratively. Isogeometric analysis shows to have a better performance regarding approximation error and convergence in the iterative method that was derived here, which favorably influences computational cost. uences computational cost.

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