PetIGA: A framework for high-performance isogeometric analysis

Handle URI:
http://hdl.handle.net/10754/611201
Title:
PetIGA: A framework for high-performance isogeometric analysis
Authors:
Dalcin, L. ( 0000-0001-8086-0155 ) ; Collier, N.; Vignal, Philippe ( 0000-0001-5300-6930 ) ; Cortes, Adriano Mauricio ( 0000-0002-0141-9706 ) ; Calo, Victor M. ( 0000-0002-1805-4045 )
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 40964096 cores, which confirm the suitability of PetIGA for large scale simulations.
KAUST Department:
Extreme Computing Research Center; Numerical Porous Media SRI Center (NumPor); Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Materials Science and Engineering (MSE)
Citation:
PetIGA: A framework for high-performance isogeometric analysis 2016 Computer Methods in Applied Mechanics and Engineering
Publisher:
Elsevier BV
Journal:
Computer Methods in Applied Mechanics and Engineering
Issue Date:
25-May-2016
DOI:
10.1016/j.cma.2016.05.011
Type:
Article
ISSN:
00457825
Sponsors:
We would like to acknowledge the open source software packages that made this work possible: PETSc [24], NumPy [76], matplotlib [77], IPython [78]. We would like to thank Lina María Bernal Martinez, Gabriel Andres Espinosa Barrios, Federico Fuentes-Caycedo, Juan Camilo Mahecha Zambrano for their work on the hyper-elasticity implementation as a final project to the Non-linear Finite Element class taught by V.M. Calo and N. Collier for the Mechanical Engineering Department at Universidad de Los Andes in Bogotá, Colombia in July 2012. We would like to thank Adel Sarmiento Rodriguez for the visualization work on figures 12 and 13. This work is part of the European Union’s Horizon 2020 research and innovation programme of the Marie Skłodowska-Curie grant agreement No. 644602. This work was also supported by the Center for Numerical Porous Media at King Abdullah University of Science and Technology and Agencia Nacional de Promoción Científica y Tecnológica grants PICT 0938–13, PICT 2660–14 and PICT-E 0191–14.
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S0045782516303401
Appears in Collections:
Articles; Extreme Computing Research Center; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorDalcin, L.en
dc.contributor.authorCollier, N.en
dc.contributor.authorVignal, Philippeen
dc.contributor.authorCortes, Adriano Mauricioen
dc.contributor.authorCalo, Victor M.en
dc.date.accessioned2016-05-30T13:31:58Z-
dc.date.available2016-05-30T13:31:58Z-
dc.date.issued2016-05-25-
dc.identifier.citationPetIGA: A framework for high-performance isogeometric analysis 2016 Computer Methods in Applied Mechanics and Engineeringen
dc.identifier.issn00457825-
dc.identifier.doi10.1016/j.cma.2016.05.011-
dc.identifier.urihttp://hdl.handle.net/10754/611201-
dc.description.abstractWe 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 40964096 cores, which confirm the suitability of PetIGA for large scale simulations.en
dc.description.sponsorshipWe would like to acknowledge the open source software packages that made this work possible: PETSc [24], NumPy [76], matplotlib [77], IPython [78]. We would like to thank Lina María Bernal Martinez, Gabriel Andres Espinosa Barrios, Federico Fuentes-Caycedo, Juan Camilo Mahecha Zambrano for their work on the hyper-elasticity implementation as a final project to the Non-linear Finite Element class taught by V.M. Calo and N. Collier for the Mechanical Engineering Department at Universidad de Los Andes in Bogotá, Colombia in July 2012. We would like to thank Adel Sarmiento Rodriguez for the visualization work on figures 12 and 13. This work is part of the European Union’s Horizon 2020 research and innovation programme of the Marie Skłodowska-Curie grant agreement No. 644602. This work was also supported by the Center for Numerical Porous Media at King Abdullah University of Science and Technology and Agencia Nacional de Promoción Científica y Tecnológica grants PICT 0938–13, PICT 2660–14 and PICT-E 0191–14.en
dc.language.isoenen
dc.publisherElsevier BVen
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0045782516303401en
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Computer Methods in Applied Mechanics and Engineering. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computer Methods in Applied Mechanics and Engineering, 25 May 2016. DOI: 10.1016/j.cma.2016.05.011en
dc.subjectIsogeometric analysisen
dc.subjectHigh-performance computingen
dc.subjectFinite element methoden
dc.subjectOpen-source softwareen
dc.titlePetIGA: A framework for high-performance isogeometric analysisen
dc.typeArticleen
dc.contributor.departmentExtreme Computing Research Centeren
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)en
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentMaterials Science and Engineering (MSE)en
dc.identifier.journalComputer Methods in Applied Mechanics and Engineeringen
dc.eprint.versionPost-printen
dc.contributor.institutionCentro de Investigación de Métodos Computacionales (CIMEC), Santa Fe, Argentinaen
dc.contributor.institutionConsejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Santa Fe, Argentinaen
dc.contributor.institutionComputer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN, USAen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorDalcin, L.en
kaust.authorVignal, P.en
kaust.authorCôrtes, A.M.A.en
kaust.authorCalo, V.M.en
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