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Title: PetIGA: A framework for high-performance isogeometric analysis

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. Lastly, we show strong scaling results on up to 4096 cores, which confirm the suitability of PetIGA for large scale simulations.
ORCiD logo [1] ;  [2] ;  [3] ;  [3] ;  [3]
  1. King Abdullah Univ. of Science and Technology (KAUST), Thuwal (Saudi Arabia); Centro de Investigacion de Metodos Computacionales (CIMEC), Santa Fe (Argentina); Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET), Santa Fe (Argentina)
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  3. King Abdullah Univ. of Science and Technology (KAUST), Thuwal (Saudi Arabia)
Publication Date:
Grant/Contract Number:
Accepted Manuscript
Journal Name:
Computer Methods in Applied Mechanics and Engineering
Additional Journal Information:
Journal Volume: 308; Journal Issue: C; Journal ID: ISSN 0045-7825
Research Org:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org:
Country of Publication:
United States
97 MATHEMATICS AND COMPUTING; isogeometric analysis; high-performance computing; finite element method; open-source software
OSTI Identifier: