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Nonlinear manifold learning for meshfree finite deformation thin shell analysis

Author
Millán, D.; Arroyo, M.; Rosolen, A.M.
Type of activity
Journal article
Journal
International journal for numerical methods in engineering
Date of publication
2013-02
Volume
93
Number
7
First page
685
Last page
713
DOI
https://doi.org/10.1002/nme.4403 Open in new window
Repository
http://hdl.handle.net/2117/79963 Open in new window
URL
http://cataleg.upc.edu/record=b1000439~S1*cat Open in new window
Abstract
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...
Citation
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.
Keywords
maximum-entropy approximants, meshfree methods, nonlinear dimensionality reduction, partition of unity, point-set surfaces, shells
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

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