A simple and less-costly integration of meshless Galerkin weak form

Autor: Victoria E. Rosca, Vitor M. A. Leitão
Rok vydání: 2008
Předmět:
Zdroj: III European Conference on Computational Mechanics ISBN: 9781402049941
DOI: 10.1007/1-4020-5370-3_529
Popis: Computational efficiency and reliability are the most important requirements for the success of a meshless numerical technique. The efficiency of these methods depends on the proper choice of the interpolation scheme, numerical integration procedures and techniques of imposing the boundary conditions. From all these difficulties, the integration is the most time-consuming part in meshless calculation due to the large number of integration points needed for a sufficiently accuracy of the integration of the weak form. Also, insufficiently accurate numerical integration may lead a deterioration and rank-defieciency in the numerical solution. The difficulty is due to the complexity of the MLS shape functions in an integration domain.
Databáze: OpenAIRE