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

A Côrtes; P Vignal; A Sarmiento; D García; N Collier; L Dalcin; Victor Calo

doi:10.1007/978-3-662-45483-1_17

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

A Côrtes, P Vignal, A Sarmiento, D García, N Collier, L Dalcin and Victor Calo

2014

DOI: https://doi.org/10.1007/978-3-662-45483-1_17

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 phasefield 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.

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Title: Solving nonlinear, High-order partial differential equations using a high-performance isogeometric analysis framework
Creators - without role: A Côrtes
P Vignal - King Abdullah University of Science and Technology
A Sarmiento - King Abdullah University of Science and Technology
D García - King Abdullah University of Science and Technology
N Collier - Oak Ridge National Laboratory
L Dalcin - King Abdullah University of Science and Technology
Victor Calo - King Abdullah University of Science and Technology
Identifiers: 9944586308331
Academic Unit: King Abdullah University of Science & Technology
Language: English
Resource Type: Conference proceeding