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

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

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

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Authors

Côrtes, A.

Vignal, P.

Sarmiento, A.

García, D.

Collier, N.

Dalcin, L.

Calo, Victor

Date

2014

Type

Conference Paper

Metadata

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Citation

Côrtes, A. and Vignal, P. and Sarmiento, A. and García, D. and Collier, N. and Dalcin, L. and Calo, V. 2014. Solving nonlinear, High-order partial differential equations using a high-performance isogeometric analysis framework, Proceedings of CARLA 2014, Valparaiso, Chile, October 20-22, 2014, pp. 236-247. Springer.

Source Title

First HPCLATAM - CLCAR Latin American Joint Conference, CARLA 2014

DOI

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

ISBN

9783662454824

School

Department of Applied Geology

URI

http://hdl.handle.net/20.500.11937/51582

Collection

Curtin Research Publications

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.