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Nonlinear manifold learning for meshfree finite deformation thin shell analysis

Autor
Millán, D.; Arroyo, M.; Rosolen, A.M.
Tipus d'activitat
Article en revista
Revista
International journal for numerical methods in engineering
Data de publicació
2013-02
Volum
93
Número
7
Pàgina inicial
685
Pàgina final
713
DOI
https://doi.org/10.1002/nme.4403 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/79963 Obrir en finestra nova
URL
http://cataleg.upc.edu/record=b1000439~S1*cat Obrir en finestra nova
Resum
Calculations on general point-set surfaces are attractive because of their flexibility and simplicity in the preprocessing but present important challenges. The absence of a mesh makes it nontrivial to decide if two neighboring points in the three-dimensional embedding are nearby or rather far apart on the manifold. Furthermore, the topology of surfaces is generally not that of an open two-dimensional set, ruling out global parametrizations. We propose a general and simple numerical method analo...
Citació
Millán, D., Arroyo, M., Rosolen, A.M. Nonlinear manifold learning for meshfree finite deformation thin shell analysis. "International journal for numerical methods in engineering", Febrer 2013, vol. 93, núm. 7, p. 685-713.
Paraules clau
maximum-entropy approximants, meshfree methods, nonlinear dimensionality reduction, partition of unity, point-set surfaces, shells
Grup de recerca
LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria

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