کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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497780 | 862945 | 2015 | 51 صفحه PDF | دانلود رایگان |
We introduce Bézier projection as an element-based local projection methodology for B-splines, NURBS, and T-splines. This new approach relies on the concept of Bézier extraction and an associated operation introduced here, spline reconstruction, enabling the use of Bézier projection in standard finite element codes. Bézier projection exhibits provably optimal convergence and yields projections that are virtually indistinguishable from global L2L2 projection. Bézier projection is used to develop a unified framework for spline operations including cell subdivision and merging, degree elevation and reduction, basis roughening and smoothing, and spline reparameterization. In fact, Bézier projection provides a quadrature-free approach to refinement and coarsening of splines. In this sense, Bézier projection provides the fundamental building block for hpkrhpkr-adaptivity in isogeometric analysis.
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 284, 1 February 2015, Pages 55–105