Isogeometric computation reuse method for complex objects with topology-consistent volumetric parameterization

Gang Xu, Tsz-Ho Kwok, Charlie Wang

Research output: Contribution to journalArticleScientificpeer-review

31 Citations (Scopus)

Abstract

Volumetric spline parameterization and computational efficiency are two main challenges in isogeometric analysis (IGA). To tackle this problem, we propose a framework of computation reuse in IGA on a set of three-dimensional models with similar semantic features. Given a template domain, B-spline based consistent volumetric parameterization is first constructed for a set of models with similar semantic features. An efficient quadrature-free method is investigated in our framework to compute the entries of stiffness matrix by Bézier extraction and polynomial approximation. In our approach, evaluation on the stiffness matrix and imposition of the boundary conditions can be pre-computed and reused during IGA on a set of CAD models. Examples with complex geometry are presented to show the effectiveness of our methods, and efficiency similar to the computation in linear finite element analysis can be achieved for IGA taken on a set of models.

Original languageEnglish
Pages (from-to)1-13
Number of pages13
JournalComputer-Aided Design
Volume91
DOIs
Publication statusPublished - 2017

Keywords

  • Computation reuse
  • Consistent volume parameterization
  • Isogeometric analysis

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