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An improved finite point method for tridimensional potential flows

Author
Ortega, E.; Oñate, E.; Idelsohn, Sergio R.
Type of activity
Journal article
Journal
Computational mechanics
Date of publication
2007-11
Volume
40
Number
6
First page
949
Last page
963
DOI
https://doi.org/10.1007/s00466-006-0154-6 Open in new window
Repository
https://www.researchgate.net/publication/226660462_An_improved_finite_point_method_for_tridimensional_potential_flows Open in new window
URL
https://link.springer.com/article/10.1007/s00466-006-0154-6 Open in new window
Abstract
At the local level, successful meshless techniques such as the Finite Point Method must have two main characteristics: a suitable geometrical support and a robust numerical approximation built on the former. In this article we develop the second condition and present an alternative procedure to obtain shape functions and their derivatives from a given cloud of points regardless of its geometrical features. This procedure, based on a QR factorization and an iterative adjust of local approximation...
Keywords
Local Approximation, Move Little Square, Shape Function, Star Point, Weighting Function
Group of research
(MC)2 - UPC Computational continuum mechanics
GMNE - Numerical Methods in Engineering Group
L'AIRE - Laboratory of Aeronautical and Industrial Research and Studies

Participants