Solving nonlinear, High-order partial differential equations using a high-performance isogeometric analysis framework
AuthorsCortes, Adriano Mauricio
García, Daniel O.
Calo, Victor M.
KAUST DepartmentNumerical Porous Media SRI Center (NumPor)
Earth Science and Engineering Program
Materials Science and Engineering Program
Applied Mathematics and Computational Science Program
Mechanical Engineering Program
Physical Sciences and Engineering (PSE) Division
Environmental Science and Engineering Program
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AbstractIn 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.
PublisherSpringer Science + Business Media
Conference/Event name1st High-Performance Computing Latin America Community, HPCLATAM-CLCAR 2014 and Latin American Joint Conference, CARLA 2014