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

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

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 proceeding › Conference 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 language	English (US)
Title of host publication	Communications in Computer and Information Science
Publisher	Springer Nature
Pages	236-247
Number of pages	12
ISBN (Print)	9783662454824
DOIs	https://doi.org/10.1007/978-3-662-45483-1_17
State	Published - 2014

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01

ASJC Scopus subject areas

General Computer Science

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

Cite this

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

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.",

author = "Cortes, {Adriano Mauricio} and Philippe Vignal and Adel Sarmiento and {Garcia Lozano}, {Daniel Alfonso} and Nathan Collier and Lisandro Dalcin and Calo, {Victor M.}",

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T1 - Solving nonlinear, High-order partial differential equations using a high-performance isogeometric analysis framework

AU - Cortes, Adriano Mauricio

AU - Vignal, Philippe

AU - Sarmiento, Adel

AU - Garcia Lozano, Daniel Alfonso

AU - Collier, Nathan

AU - Dalcin, Lisandro

AU - Calo, Victor M.

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/564847

UR - http://link.springer.com/10.1007/978-3-662-45483-1_17

U2 - 10.1007/978-3-662-45483-1_17

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

M3 - Conference contribution

SN - 9783662454824

SP - 236

EP - 247

BT - Communications in Computer and Information Science

PB - Springer Nature

ER -

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

Abstract

Bibliographical note

ASJC Scopus subject areas

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