Numerical integration on trimmed three-dimensional domains with implicitly defined trimming surfaces

Felix Scholz*, Bert Jüttler

*この研究の対応する著者

研究成果: Article査読

4 被引用数 (Scopus)

抄録

We present a novel technique for the numerical integration of trivariate functions on trimmed domains. In our setting, we assume that the trimming surface is defined implicitly. Our approach combines a linear approximation of the trimming surface with a correction term. The latter term makes it possible to achieve a cubic convergence rate, which is one order higher than the rate obtained by using the linear approximation only. We also present numerical experiments that demonstrate the method's potential for applications in isogeometric analysis.

本文言語English
論文番号112577
ジャーナルComputer Methods in Applied Mechanics and Engineering
357
DOI
出版ステータスPublished - 2019 12 1
外部発表はい

ASJC Scopus subject areas

  • 計算力学
  • 材料力学
  • 機械工学
  • 物理学および天文学(全般)
  • コンピュータ サイエンスの応用

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