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XLME interpolants, a seamless bridge between XFEM and enriched meshless methods

Autor
Amiri, F.; Anitescu, C.; Arroyo, M.; Bordas, S.; Rabczuk, T.
Tipus d'activitat
Article en revista
Revista
Computational mechanics
Data de publicació
2014-01
Volum
53
Número
1
Pàgina inicial
45
Pàgina final
57
DOI
https://doi.org/10.1007/s00466-013-0891-2 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/77760 Obrir en finestra nova
URL
http://link.springer.com/article/10.1007%2Fs00466-013-0891-2 Obrir en finestra nova
Resum
In this paper, we develop a method based on local maximum entropy shape functions together with enrichment functions used in partition of unity methods to discretize problems in linear elastic fracture mechanics. We obtain improved accuracy relative to the standard extended finite element method at a comparable computational cost. In addition, we keep the advantages of the LME shape functions, such as smoothness and non-negativity. We show numerically that optimal convergence (same as in FEM) fo...
Citació
Amiri, F., Anitescu, C., Arroyo, M., Bordas, S., Rabczuk, T. XLME interpolants, a seamless bridge between XFEM and enriched meshless methods. "Computational Mechanics", Gener 2014, vol. 53, núm. 1, p. 45-57.
Paraules clau
Local maximum entropy Convex approximation Meshless methods Extrinsic enrichment
Grup de recerca
LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria

Participants

  • Amiri, Fatemeh  (autor)
  • Anitescu, C  (autor)
  • Arroyo Balaguer, Marino  (autor)
  • Bordas, S P A  (autor)
  • Rabczuk, Timon  (autor)

Arxius