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Adaptive numerical integration of broken finite cells based on moment fitting applied to finite strain problems
Author(s) -
Hubrich Simeon,
Düster Alexander
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800089
Subject(s) - numerical integration , moment (physics) , nonlinear system , scheme (mathematics) , mathematics , numerical analysis , domain (mathematical analysis) , direct integration of a beam , computer science , mathematical optimization , mathematical analysis , engineering , physics , classical mechanics , structural engineering , quantum mechanics
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.