Solving nonlinear, High-order partial differential equations using a high-performance isogeometric analysis framework
MetadataShow full item record
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.
Showing items related by title, author, creator and subject.
Berwick, Lyndon (2009)The analytical capacity of MSSV pyrolysis has been used to extend the structural characterisation of aquatic natural organic matter (NOM). NOM can contribute to various potable water issues and is present in high ...
Woodside, Arch (2014)This essay describes tenets of complexity theory including the precept that within the same set of data X relates to Y positively, negatively, and not at all. A consequence to this first precept is that reporting how X ...
Woodside, Arch (2010)Both successful and unsuccessful design+marketing projects in high fashion products and services represent creating and implementing recipes or paths of key success factors (KSFs). While implementing any one KSF is not ...