Publisher DOI: 10.1002/pamm.201800089
Title: Adaptive numerical integration of broken finite cells based on moment fitting applied to finite strain problems
Language: English
Authors: Hubrich, Simeon 
Düster, Alexander 
Issue Date: 17-Dec-2018
Publisher: Wiley-VCH
Source: Proceedings in applied mathematics and mechanics : PAMM 18 (1): e201800089 (2018)
Abstract (english): 
In the finite cell method (FCM) which is based on the fictitious domain approach the numerical integration of broken cells represents a major challenge. Commonly, an adaptive integration scheme is used which, usually, results in a large number of integration points and thus increases the numerical effort, especially for nonlinear applications. To reduce the number of integration points, we present an adaptive scheme which is based on moment fitting. Thereby, we introduce an approach based on Lagrange polynomials which avoids the necessity of solving the moment fitting equation system. We study the performance of this integration method considering two numerical examples for finite strain problems of the FCM.
Conference: 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2018) 
ISSN: 1617-7061
Institute: Konstruktion und Festigkeit von Schiffen M-10 
Document Type: Chapter/Article (Proceedings)
Project: SPP 1748: Teilprojekt "High-Order Immersed-Boundary-Methoden in der Festkörpermechanik für generativ gefertigte Strukturen" 
Part of Series: Proceedings in applied mathematics and mechanics 
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