RBF-based meshless methods for 2D elastostatic problems

Autor:	Vitor M. A. Leitão
Rok vydání:	2004
Předmět:	Applied Mathematics Mathematical analysis General Engineering Bending of plates Computational Mathematics Symmetric systems Hermite interpolation Deflection (engineering) Collocation method Meshfree methods Radial basis function Analysis Linear equation Mathematics
Zdroj:	Engineering Analysis with Boundary Elements. 28:1271-1281
ISSN:	0955-7997
DOI:	10.1016/j.enganabound.2003.06.003
Popis:	The work presented here concerns the use of radial basis functions (RBFs) for the analysis of two dimensional elastostatic problems. The basic characteristic of the formulation is the definition of a global approximation for the variables of interest in each problem (the deflection for the plate bending problem and the stress function for the stretching plates) from a set of RBFs conveniently placed (but not necessarily in a regular manner) at the boundary and in the domain. Depending on the type of collocation chosen, non-symmetric or symmetric systems of linear equations are obtained. Comparisons are made with other results available in the literature.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::837861a7961a24b736e7f23a78155008 https://doi.org/10.1016/j.enganabound.2003.06.003 Zobrazit plný text záznamu Full Text from ScienceDirect