Finite element analysis enhanced with subdivision surface boundary representations

Greco, F., Barendrecht, P., Coox, L., Atak, O. & Desmet, W., Dec-2017, In : Finite elements in analysis and design. 137, p. 56-72 17 p.

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  • Finite element analysis enhanced with subdivision surface boundary representations

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  • F. Greco
  • P. Barendrecht
  • L. Coox
  • O. Atak
  • W. Desmet

In this work we develop a design-through-analysis methodology by extending the concept of the NURBS-enhanced finite element method (NEFEM) to volumes bounded by Catmull-Clark subdivision surfaces. The representation of the boundary as a single watertight manifold facilitates the generation of an external curved triangular mesh, which is subsequently used to generate the interior volumetric mesh. Following the NEFEM framework, the basis functions are defined in the physical space and the numerical integration is realized with a special mapping which takes into account the exact definition of the boundary. Furthermore, an appropriate quadrature strategy is proposed to deal with the integration of elements adjacent to extraordinary vertices (EVs). Both theoretical and practical aspects of the implementation are discussed and are supported with numerical examples.

Original languageEnglish
Pages (from-to)56-72
Number of pages17
JournalFinite elements in analysis and design
Publication statusPublished - Dec-2017


  • NURBS enhanced FEM, Subdivision surfaces, Catmull-Clark, Design-through-analysis, CATMULL-CLARK, LINEAR INDEPENDENCE, NURBS, CAD, INTEGRATION

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