Node adaptation for global collocation with radial basis functions using direct multisearch for multiobjective optimization

• Type: Article in International Scientific Journal
• Date: 2014

Authors

Roque, CMC (Author) FEUP; Madeira, JFA (Author) Other; Ferreira, AJM (Author) FEUP

Journal

Title: Engineering Analysis with Boundary Elements

Vol. 39

Pages: 5-14

ISSN: 0955-7997

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 4 Citations

Scopus - 4 Citations

Other information

Authenticus ID: P-008-HDJ

DOI: 10.1016/j.enganabound.2013.10.012

Abstract (EN): Meshless methods are used for their capability of producing excellent solutions without requiring a mesh, avoiding mesh related problems encountered in other numerical methods, such as finite elements. However, node placement is still an open question, specially in strong form collocation meshless methods. The number of used nodes can have a big influence on matrix size and therefore produce ill-conditioned matrices. In order to optimize node position and number, a direct multisearch technique for multiobjective optimization is used to optimize node distribution in the global collocation method using radial basis functions. The optimization method is applied to the bending of isotropic simply supported plates. Using as a starting condition a uniformly distributed grid, results show that the method is capable of reducing the number of nodes in the grid without compromising the accuracy of the solution.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 10