Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models (Articolo in rivista)

Type

• Prodotto della ricerca (Classe)
• Articolo in rivista (Classe)

Label

• Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models (Articolo in rivista) (literal)

Anno

• 2014-01-01T00:00:00+01:00 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi

• 10.1016/j.jcp.2013.12.044 (literal)

Alternative label

• Hector Gomez; Alessandro Reali; Giancarlo Sangalli (2014)
  Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models
  in Journal of computational physics (Print)
  (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

• Hector Gomez; Alessandro Reali; Giancarlo Sangalli (literal)

Pagina inizio

• 153 (literal)

Pagina fine

• 171 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url

• http://www.sciencedirect.com/science/article/pii/S0021999113008528 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume

• 262 (literal)

Rivista

• Journal of computational physics (Rivista)

Note

• Scopu (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni

• University of A Coruña, Department of Mathematical Methods, Campus de Elviña, s/n, 15192 A Coruña, Spain; University of Pavia, Department of Civil Engineering and Architecture, via Ferrata 3, 27100 Pavia, Italy; University of Pavia, Dipartimento di Matematica F. Casorati, via Ferrata 1, 27100 Pavia, Italy (literal)

Titolo

• Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models (literal)

Abstract

• We propose new collocation methods for phase-field models. Our algorithms are based on isogeometric analysis, a new technology that makes use of functions from computational geometry, such as, for example, Non-Uniform Rational B-Splines (NURBS). NURBS exhibit excellent approximability and controllable global smoothness, and can represent exactly most geometries encapsulated in Computer Aided Design (CAD) models. These attributes permitted us to derive accurate, efficient, and geometrically flexible collocation methods for phase-field models. The performance of our method is demonstrated by several numerical examples of phase separation modeled by the Cahn-Hilliard equation. We feel that our method successfully combines the geometrical flexibility of finite elements with the accuracy and simplicity of pseudo-spectral collocation methods, and is a viable alternative to classical collocation methods. (literal)

Prodotto di

• Istituto di matematica applicata e tecnologie informatiche \"Enrico Magenes\" (IMATI) (Istituto)
• Analisi Isogeometrica per equazioni a derivate parziali (ICT.P11.013.001) (Modulo)

Autore CNR

• GIANCARLO SANGALLI (Unità di personale esterno)
• ALESSANDRO REALI (Persona)

Insieme di parole chiave

• Keywords of "Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models" (Insieme di parole chiave)

Incoming links:

Prodotto

• Istituto di matematica applicata e tecnologie informatiche \"Enrico Magenes\" (IMATI) (Istituto)
• Analisi Isogeometrica per equazioni a derivate parziali (ICT.P11.013.001) (Modulo)

Autore CNR di

• ALESSANDRO REALI (Persona)
• GIANCARLO SANGALLI (Unità di personale esterno)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi

• Journal of computational physics (Rivista)

Insieme di parole chiave di

• Keywords of "Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models" (Insieme di parole chiave)