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    PetIGA: A framework for high-performance isogeometric analysis

    250797.pdf (7.361Mb)
    Access Status
    Open access
    Authors
    Dalcin, L.
    Collier, N.
    Vignal, P.
    Côrtes, A.
    Calo, Victor
    Date
    2016
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Dalcin, L. and Collier, N. and Vignal, P. and Côrtes, A. and Calo, V. 2016. PetIGA: A framework for high-performance isogeometric analysis. Computer Methods in Applied Mechanics and Engineering. 308: pp. 151-181.
    Source Title
    Computer Methods in Applied Mechanics and Engineering
    DOI
    10.1016/j.cma.2016.05.011
    ISSN
    0045-7825
    School
    Department of Applied Geology
    URI
    http://hdl.handle.net/20.500.11937/51403
    Collection
    • Curtin Research Publications
    Abstract

    We present PetIGA, a code framework to approximate the solution of partial differential equations using isogeometric analysis. PetIGA can be used to assemble matrices and vectors which come from a Galerkin weak form, discretized with Non-Uniform Rational B-spline basis functions. We base our framework on PETSc, a high-performance library for the scalable solution of partial differential equations, which simplifies the development of large-scale scientific codes, provides a rich environment for prototyping, and separates parallelism from algorithm choice. We describe the implementation of PetIGA, and exemplify its use by solving a model nonlinear problem. To illustrate the robustness and flexibility of PetIGA, we solve some challenging nonlinear partial differential equations that include problems in both solid and fluid mechanics. We show strong scaling results on up to 4096 cores, which confirm the suitability of PetIGA for large scale simulations.

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