Stable isogeometric analysis of trimmed geometries

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

Research output: Contribution to journalArticleResearchpeer-review

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

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splines
Splines
Geometry
geometry
Stabilization
stabilization
collocation
interpolation
Elasticity
Interpolation
Substitution reactions
elastic properties
substitutes
formulations
matrices

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

Cite this

Stable isogeometric analysis of trimmed geometries. / Marussig, Benjamin; Zechner, Jürgen; Beer, Gernot; Fries, Thomas Peter.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 316, 2017, p. 497-521.

Research output: Contribution to journalArticleResearchpeer-review

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