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Adaptive quadrature of trimmed finite elements and cells based on bezier approximation
Publikationstyp
Journal Article
Date Issued
2024-02-01
Sprache
English
Issue
21
Start Page
1
Article Number
2350023
Citation
International Journal of Computational Methods 21 (1): 2350023 (2024-02-01)
Publisher DOI
Scopus ID
Publisher
World Scientific
In this paper, a new boundary-conforming adaptive method for the numerical integration of trimmed elements is presented. The locations and weights of new integration points are determined based on special mapping formulations. The prerequisite of this technique is to describe the trimming curves/surfaces by parametric Bezier curves/surfaces within the parent element domain. The fitting error is under control, therefore the number of quadrature points for exact integration can be adjusted automatically based on the complexity of trimming curve and the corresponding integrand. The proposed method can be easily implemented into fictitious domain approaches. Different integration tasks as well as structural examples reveal that the proposed method delivers accurate and robust solutions for a wide variety of 2D/3D geometries with a rather low number of integration points.
Subjects
Adaptive Gaussian integration
Bezier functions
finite cell method
DDC Class
624: Civil Engineering, Environmental Engineering
690: Building, Construction