کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10656900 | 863545 | 2019 | 37 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Equivalent Legendre polynomials: Numerical integration of discontinuous functions in the finite element methods
ترجمه فارسی عنوان
چندجملهایهای افسانه ای معادل: ادغام عددی توابع متساوی در روش های عنصر محدود
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
The efficiency of numerical integration of discontinuous functions is a challenge for many different computational methods. To overcome this problem, we introduce an efficient and simple numerical method for the integration of discontinuous functions on an arbitrary domain. In the proposed method, the discontinuous function over the domain is replaced by a continuous equivalent function using Legendre polynomials. The method is applicable to all Ansatz spaces with continuous basis functions, and it allows to use standard numerical integration methods in the entire domain. This imposed continuous function is called equivalent Legendre polynomial (ELP). Several numerical examples serve to demonstrate the efficiency and accuracy of the proposed method. Based on 2D and 3D problems of linear elastostatics, the introduced method is further evaluated in the concept of the fictitious domain finite element methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 343, 1 January 2019, Pages 690-720
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 343, 1 January 2019, Pages 690-720
نویسندگان
Alireza Abedian, Alexander Düster,