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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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
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