On the coupling of Gaussian quadrature and collocation integration in the element free Galerkin method

Ching Chiang Chuang, Chih Jung Huang, Chung Yue Wang

研究成果: 雜誌貢獻期刊論文同行評審

摘要

The suitability of integrating the corresponding weak form with background cells by element free Galerkin method is discussed. In the element free Galerkin method, the connectivity of nodes is not necessary in pre-processing. The weak form is usually integrated with Gaussian-background cell, and the integration cells may not fall into the integration domain completely as the integration cell is independent of the integration domain. Then the location of the integration point is taken as the judging principle for integration. However, the accuracy and stability may be influenced by integration point weighting, and the weighting values of collocation integration are the same, which is different from the Gaussian quadrature. Therefore, acceptable results may be obtained if the number of integration points is large enough. The main purpose of this research is coupling Gaussian quadrature and collocation integration, and the coupled method is compared with traditional Gaussian quadrature method and collocation integration method, which proves the superiority of the coupling method.

原文???core.languages.en_GB???
頁(從 - 到)385-394
頁數10
期刊Journal of the Chinese Institute of Civil and Hydraulic Engineering
23
發行號4
出版狀態已出版 - 12月 2011

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