Solving nonlinear, High-order partial differential equations using a high-performance isogeometric analysis framework

Handle URI:
http://hdl.handle.net/10754/564847
Title:
Solving nonlinear, High-order partial differential equations using a high-performance isogeometric analysis framework
Authors:
Cortes, Adriano Mauricio ( 0000-0002-0141-9706 ) ; Vignal, Philippe ( 0000-0001-5300-6930 ) ; Sarmiento, Adel; García, Daniel O.; Collier, Nathaniel Oren; Dalcin, Lisandro ( 0000-0001-8086-0155 ) ; Calo, Victor M. ( 0000-0002-1805-4045 )
Abstract:
In this paper we present PetIGA, a high-performance implementation of Isogeometric Analysis built on top of PETSc. We show its use in solving nonlinear and time-dependent problems, such as phase-field models, by taking advantage of the high-continuity of the basis functions granted by the isogeometric framework. In this work, we focus on the Cahn-Hilliard equation and the phase-field crystal equation.
KAUST Department:
Numerical Porous Media SRI Center (NumPor); Earth Science and Engineering Program; Materials Science and Engineering Program; Applied Mathematics and Computational Science Program; Mechanical Engineering Program; Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program
Publisher:
Springer Science + Business Media
Journal:
Communications in Computer and Information Science
Conference/Event name:
1st High-Performance Computing Latin America Community, HPCLATAM-CLCAR 2014 and Latin American Joint Conference, CARLA 2014
Issue Date:
2014
DOI:
10.1007/978-3-662-45483-1_17
Type:
Conference Paper
ISSN:
18650929
ISBN:
9783662454824
Appears in Collections:
Conference Papers; Environmental Science and Engineering Program; Applied Mathematics and Computational Science Program; Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program; Materials Science and Engineering Program; Mechanical Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorCortes, Adriano Mauricioen
dc.contributor.authorVignal, Philippeen
dc.contributor.authorSarmiento, Adelen
dc.contributor.authorGarcía, Daniel O.en
dc.contributor.authorCollier, Nathaniel Orenen
dc.contributor.authorDalcin, Lisandroen
dc.contributor.authorCalo, Victor M.en
dc.date.accessioned2015-08-04T07:22:58Zen
dc.date.available2015-08-04T07:22:58Zen
dc.date.issued2014en
dc.identifier.isbn9783662454824en
dc.identifier.issn18650929en
dc.identifier.doi10.1007/978-3-662-45483-1_17en
dc.identifier.urihttp://hdl.handle.net/10754/564847en
dc.description.abstractIn this paper we present PetIGA, a high-performance implementation of Isogeometric Analysis built on top of PETSc. We show its use in solving nonlinear and time-dependent problems, such as phase-field models, by taking advantage of the high-continuity of the basis functions granted by the isogeometric framework. In this work, we focus on the Cahn-Hilliard equation and the phase-field crystal equation.en
dc.publisherSpringer Science + Business Mediaen
dc.titleSolving nonlinear, High-order partial differential equations using a high-performance isogeometric analysis frameworken
dc.typeConference Paperen
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)en
dc.contributor.departmentEarth Science and Engineering Programen
dc.contributor.departmentMaterials Science and Engineering Programen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentMechanical Engineering Programen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.identifier.journalCommunications in Computer and Information Scienceen
dc.conference.date20 October 2014 through 22 October 2014en
dc.conference.name1st High-Performance Computing Latin America Community, HPCLATAM-CLCAR 2014 and Latin American Joint Conference, CARLA 2014en
dc.contributor.institutionOak Ridge National LaboratoryOak Ridge, TN, United Statesen
dc.contributor.institutionConsejo Nacional de Investigaciones Científicas y Técnicas, Universidad Nacional del LitoralSanta Fe, Argentinaen
kaust.authorCortes, Adriano Mauricioen
kaust.authorVignal, Philippeen
kaust.authorCollier, Nathaniel Orenen
kaust.authorDalcin, Lisandroen
kaust.authorCalo, Victor M.en
kaust.authorSarmiento, Adelen
kaust.authorGarcía, Daniel O.en
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