کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
498070 | 862964 | 2012 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis](/preview/png/498070.png)
چکیده انگلیسی
We develop new quadrature rules for isogeometric analysis based on the solution of a local nonlinear problem. A simple and robust algorithm is developed to determine the rules which are exact for important B-spline spaces of uniform and geometrically stretched knot spacings. We consider both periodic and open knot vector configurations and illustrate the efficiency of the rules on selected boundary value problems. We find that the rules are almost optimally efficient, but much easier to obtain than optimal rules, which require the solution of global nonlinear problems that are often ill-posed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volumes 249–252, 1 December 2012, Pages 15–27
Journal: Computer Methods in Applied Mechanics and Engineering - Volumes 249–252, 1 December 2012, Pages 15–27
نویسندگان
F. Auricchio, F. Calabrò, T.J.R. Hughes, A. Reali, G. Sangalli,