کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4641514 | 1341311 | 2009 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A new smoothing strategy for computing nearly singular integrals in 3D Galerkin BEM
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A new smoothing strategy for computing nearly singular integrals in 3D Galerkin BEM A new smoothing strategy for computing nearly singular integrals in 3D Galerkin BEM](/preview/png/4641514.png)
چکیده انگلیسی
In this paper we propose an efficient strategy to compute nearly singular integrals over planar triangles in R3, arising in 3D Galerkin BEM. The strategy is based on a proper use of various nonlinear transformations, which smooth, or move away or quite eliminate all the singularities close to the domain of integration. We will deal with near singularities of the form 1/r1/r and 1/r31/r3, r=‖x−y‖ being the distance between two generic points x and y lying on triangles which are disjoint, but very close to each other. The approach proposed here is demonstrated by numerical experiments.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 225, Issue 2, 15 March 2009, Pages 406–427
Journal: Journal of Computational and Applied Mathematics - Volume 225, Issue 2, 15 March 2009, Pages 406–427
نویسندگان
Letizia Scuderi,