کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4640654 1341282 2009 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical integration over polygons using an eight-node quadrilateral spline finite element
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Numerical integration over polygons using an eight-node quadrilateral spline finite element
چکیده انگلیسی

In this paper, a cubature formula over polygons is proposed and analysed. It is based on an eight-node quadrilateral spline finite element [C.-J. Li, R.-H. Wang, A new 8-node quadrilateral spline finite element, J. Comp. Appl. Math. 195 (2006) 54–65] and is exact for quadratic polynomials on arbitrary convex quadrangulations and for cubic polynomials on rectangular partitions. The convergence of sequences of the above cubatures is proved for continuous integrand functions and error bounds are derived. Some numerical examples are given, by comparisons with other known cubatures.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 233, Issue 2, 15 November 2009, Pages 279–292
نویسندگان
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