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

Adriano Mauricio Cortes, Philippe Vignal, Adel Sarmiento, Daniel Alfonso Garcia Lozano, Nathan Collier, Lisandro Dalcin, Victor M. Calo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Scopus citations

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.
Original languageEnglish (US)
Title of host publicationCommunications in Computer and Information Science
PublisherSpringer Nature
Pages236-247
Number of pages12
ISBN (Print)9783662454824
DOIs
StatePublished - 2014

ASJC Scopus subject areas

  • Computer Science(all)

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