Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: Geometric design and isogeometric analysis considerations

We present a framework for geometric design and isogeometric analysis on unstructured quadrilateral meshes. Acknowledging the differing requirements posed by design (e.g., the convenience of an intuitive control net) and analysis (e.g., good approximation behavior), we propose the construction of a...

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Bibliographic Details
Published in:	Computer methods in applied mechanics and engineering Vol. 327; pp. 411 - 458
Main Authors:	Toshniwal, Deepesh, Speleers, Hendrik, Hughes, Thomas J.R.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 01.12.2017 Elsevier BV
Subjects:	CAD Compatibility Computer aided design Design analysis Extraordinary points Geometric modeling Geometry Isogeometric analysis Mathematical models Numerical analysis Smooth splines Splines Studies Unstructured quadrilateral meshes Isogeometric analysis Smooth splines Geometric modeling Unstructured quadrilateral meshes Extraordinary points
ISSN:	0045-7825, 1879-2138
Online Access:	Get full text
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