Stable isogeometric analysis of trimmed geometries

Benjamin Marussig*, Jürgen Zechner, Gernot Beer, Thomas Peter Fries

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

We explore extended B-splines as a stable basis for isogeometric analysis with trimmed parameter spaces. The stabilization is accomplished by an appropriate substitution of B-splines that may lead to ill-conditioned system matrices. The construction for non-uniform knot vectors is presented. The properties of extended B-splines are examined in the context of interpolation, potential, and linear elasticity problems and excellent results are attained. The analysis is performed by an isogeometric boundary element formulation using collocation. It is argued that extended B-splines provide a flexible and simple stabilization scheme which ideally suits the isogeometric paradigm.

Original languageEnglish
Pages (from-to)497-521
JournalComputer Methods in Applied Mechanics and Engineering
Volume316
DOIs
Publication statusPublished - 2017

Keywords

  • Extended B-splines
  • Isogeometric analysis
  • Non-uniform
  • Stabilization
  • Trimmed NURBS
  • WEB-splines

ASJC Scopus subject areas

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

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