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

Felix Scholz, Bert Jüttler

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Article number112577
JournalComputer Methods in Applied Mechanics and Engineering
Volume357
DOIs
Publication statusPublished - 2019 Dec 1
Externally publishedYes

Keywords

  • Isogeometric analysis
  • Numerical integration
  • Quadrature
  • Trimming

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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