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

Journal article (2017)

Authors

Gang Xu Hangzhou Dianzi University, Ministry of Education Hangzhou
Tsz Ho Kwok The Chinese University of Hong Kong, Concordia University
C.C. Wang Materials and Manufacturing - IDE , The Chinese University of Hong Kong
Research Group
Materials and Manufacturing (IDE) (TU Delft)
Isogeometric analysis Computation reuse Consistent volume parameterization
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Published Date

2017

Language

English

Reuse Rights

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Faculty

Industrial Design Engineering

Department

Sustainable Design Engineering

Research Group

Materials and Manufacturing

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.