کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4952775 | 1442544 | 2016 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Analysis-suitable G1 multi-patch parametrizations for C1 isogeometric spaces
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
گرافیک کامپیوتری و طراحی به کمک کامپیوتر
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چکیده انگلیسی
One key feature of isogeometric analysis is that it allows smooth shape functions. Indeed, when isogeometric spaces are constructed from p-degree splines (and extensions, such as NURBS), they enjoy up to Cpâ1 continuity within each patch. However, global continuity beyond C0 on so-called multi-patch geometries poses some significant difficulties. In this work, we consider planar multi-patch domains that have a parametrization which is only C0 at the patch interface. On such domains we study the h-refinement of C1-continuous isogeometric spaces. These spaces in general do not have optimal approximation properties. The reason is that the C1-continuity condition easily over-constrains the solution which is, in the worst cases, fully locked to linears at the patch interface. However, recently (Kapl et al., 2015b) has given numerical evidence that optimal convergence occurs for bilinear two-patch geometries and cubic (or higher degree) C1 splines. This is the starting point of our study. We introduce the class of analysis-suitable G1 geometry parametrizations, which includes piecewise bilinear parametrizations. We then analyze the structure of C1 isogeometric spaces over analysis-suitable G1 parametrizations and, by theoretical results and numerical testing, discuss their approximation properties. We also consider examples of geometry parametrizations that are not analysis-suitable, showing that in this case optimal convergence of C1 isogeometric spaces is prevented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Aided Geometric Design - Volume 47, October 2016, Pages 93-113
Journal: Computer Aided Geometric Design - Volume 47, October 2016, Pages 93-113
نویسندگان
Annabelle Collin, Giancarlo Sangalli, Thomas Takacs,