کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4964239 | 1447419 | 2017 | 54 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Optimal and reduced quadrature rules for tensor product and hierarchically refined splines in isogeometric analysis
ترجمه فارسی عنوان
بهینه و کاهش مقادیر کوادراتور برای محصول تانسور و سلولهای پالایش شده سلسله مراتبی در تجزیه و تحلیل ایزوگومتریک
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
We continue the study initiated in Hughes et al. (2010) in search of optimal quadrature rules for tensor product and hierarchically refined splines in isogeometric analysis. These rules are optimal in the sense that there exists no other quadrature rule that can exactly integrate the elements of the given spline space with fewer quadrature points. We extend the algorithm presented in Hughes et al. (2010) with an improved starting guess, which combined with arbitrary precision arithmetic, results in the practical computation of quadrature rules for univariate non-uniform splines up to any precision. Explicit constructions are provided in sixteen digits of accuracy for some of the most commonly used uniform spline spaces defined by open knot vectors. We study the efficacy of the proposed rules in the context of full and reduced quadrature applied to two- and three-dimensional diffusion-reaction problems using tensor product and hierarchically refined splines, and prove a theorem rigorously establishing the stability and accuracy of the reduced rules.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 316, 1 April 2017, Pages 966-1004
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 316, 1 April 2017, Pages 966-1004
نویسندگان
René R. Hiemstra, Francesco Calabrò, Dominik Schillinger, Thomas J.R. Hughes,