An adaptive isogeometric analysis collocation method with a recovery-based error estimator

Yue Jia, Cosmin Anitescu, Yongjie Jessica Zhang, Timon Rabczuk

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, we propose an enhanced isogeometric analysis (IGA) collocation method. It is well known that the location of the collocation points plays an important role in the accuracy and stability of IGA collocation methods. This is particularly true for non-uniform meshes and domains generated from multi-patch geometries. We present an enhanced collocation method based on Gauss points, which has improved accuracy as compared to using C1 splines and a recovery-based error estimator that can be derived by sampling the solution at particular points in the domain. Adaptivity is implemented using a hierarchical spline basis, which satisfies the C1 continuity requirement. The proposed approach has been tested by several benchmark problems, including multipatch domains and geometries with re-entrant corners.

Original languageEnglish
Pages (from-to)52-74
Number of pages23
JournalComputer Methods in Applied Mechanics and Engineering
Volume345
DOIs
Publication statusPublished - 2019 Mar 1
Externally publishedYes

Fingerprint

collocation
estimators
Splines
recovery
Recovery
Geometry
splines
Sampling
geometry
continuity
mesh
sampling
requirements

Keywords

  • Error estimation
  • Gaussian-collocation points
  • IGA collocation method
  • Linear elasticity
  • PHT-spline

ASJC Scopus subject areas

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

Cite this

An adaptive isogeometric analysis collocation method with a recovery-based error estimator. / Jia, Yue; Anitescu, Cosmin; Zhang, Yongjie Jessica; Rabczuk, Timon.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 345, 01.03.2019, p. 52-74.

Research output: Contribution to journalArticle

Jia, Yue ; Anitescu, Cosmin ; Zhang, Yongjie Jessica ; Rabczuk, Timon. / An adaptive isogeometric analysis collocation method with a recovery-based error estimator. In: Computer Methods in Applied Mechanics and Engineering. 2019 ; Vol. 345. pp. 52-74.
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