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Solving Nonlinear, High-Order Partial Differential Equations Using a High-Performance Isogeometric Analysis Framework

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High Performance Computing (CARLA 2014)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 485))

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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.

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Author information

Authors and Affiliations

  1. Center for Numerical Porous Media, King Abdullah University of Science and Technology, Thuwal, Saudi Arabia

    Adriano M. A. Côrtes, Philippe Vignal, Adel Sarmiento, Daniel García, Nathan Collier, Lisandro Dalcin & Victor M. Calo

  2. Earth Sciences & Engineering, King Abdullah University of Science and Technology, Thuwal, Saudi Arabia

    Adriano M. A. Côrtes & Victor M. Calo

  3. Material Science & Engineering, King Abdullah University of Science and Technology, Thuwal, Saudi Arabia

    Philippe Vignal

  4. Applied Mathematics & Computational Science, Earth Science & Engineering, King Abdullah University of Science and Technology, Thuwal, Saudi Arabia

    Adel Sarmiento & Victor M. Calo

  5. Mechanical Engineering, King Abdullah University of Science and Technology, Thuwal, Saudi Arabia

    Daniel García

  6. Oak Ridge National Laboratory, Oak Ridge, Tennessee, USA

    Nathan Collier

  7. Consejo Nacional de Investigaciones Científicas y Técnicas and Universidad Nacional del Litoral, Santa Fe, Argentina

    Lisandro Dalcin

Authors
  1. Adriano M. A. Côrtes
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  2. Philippe Vignal
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  3. Adel Sarmiento
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  4. Daniel García
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  5. Nathan Collier
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  6. Lisandro Dalcin
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  7. Victor M. Calo
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Editor information

Editors and Affiliations

  1. Universidad Santa Maria, Valparaiso, Chile

    Gonzalo Hernández

  2. Ciudad Universitaria, Bucaramanga, Chile

    Carlos Jaime Barrios Hernández

  3. Universidad Industrial de Santander, Bucaramanga, Colombia

    Gilberto Díaz

  4. Universidad Nacional de Cuyo, Mendoza,, Argentina

    Carlos García Garino

  5. Facultad de Ingeniería, Universidad de la República, Montevideo, Uruguay

    Sergio Nesmachnow

  6. Universidad de Valparaíso, Chile

    Tomás Pérez-Acle

  7. CIMEC,, Santa Fe, Argentina

    Mario Storti

  8. Barcelona Supercomputing Center, Spain

    Mariano Vázquez

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© 2014 Springer-Verlag Berlin Heidelberg

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Côrtes, A.M.A. et al. (2014). Solving Nonlinear, High-Order Partial Differential Equations Using a High-Performance Isogeometric Analysis Framework. In: Hernández, G., et al. High Performance Computing. CARLA 2014. Communications in Computer and Information Science, vol 485. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-45483-1_17

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

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-45482-4

  • Online ISBN: 978-3-662-45483-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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