Efficient quadrature rules for subdivision surfaces in isogeometric analysis

Pieter J. Barendrecht
Pieter J. Barendrecht

Computer Methods in Applied Mechanics and Engineering, pp. 1-23, 2018.

Cited by: 1|Bibtex|Views4|
Keywords:
Numerical integrationSubdivision surfaceNon-tensor-product splinesGaussian quadrature rulesIsogeometric analysis

Abstract:

We introduce a new approach to numerical quadrature on geometries defined by subdivision surfaces based on quad meshes in the context of isogeometric analysis. Starting with a sparse control mesh, the subdivision process generates a sequence of finer and finer quad meshes that in the limit defines a smooth subdivision surface, which can b...More

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