Efficient numerical integration of arbitrarily broken cells using the moment fitting approach

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• 作者：Simeon Hubrich ; Meysam Joulaian ; Paolo Di Stolfo ; Andreas Schrö ; der and Alexander Dü ; ster
• 刊名：PAMM
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：16
• 期：1
• 页码：201-202
• 全文大小：165K
• ISSN：1617-7061

文摘

The finite cell method is based on a fictitious domain approach, providing a simple and fast mesh generation of structures with complex geometries. However, this simplification leads to intersected cells where the standard Gauss quadrature does not perform well. To perform the numerical integration of these cells, we use the moment fitting approach that generates an individual quadrature rule for every broken cell. In this paper, we will perform a non-linear optimization approach to find the optimal position and number of the integration points. The findings show that the proposed method leads to efficient quadrature rules that require less integration points than other existing integration methods. (