کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
512736 | 866424 | 2012 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Convergence analysis and detection of singularities within a boundary meshless method based on Taylor series
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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: Convergence analysis and detection of singularities within a boundary meshless method based on Taylor series Convergence analysis and detection of singularities within a boundary meshless method based on Taylor series](/preview/png/512736.png)
چکیده انگلیسی
We study a meshless method based on Taylor series approximation. This method solves quasi-exactly the Partial Differential Equation (PDE) in the domain. The boundary conditions are applied by using a least square method as proposed by Zhang et al. (2001 [3]), for stabilising collocation method. After showing accuracy and efficiency of the technique, we analyse the convergence of the series. In this aim, we introduce techniques as Domb Sykes plot, Hadamard criterion or Darboux criterion. This analysis leads to the radius of convergence and to the location and the nature of the singularities of the sought solution.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Engineering Analysis with Boundary Elements - Volume 36, Issue 10, October 2012, Pages 1465–1472
Journal: Engineering Analysis with Boundary Elements - Volume 36, Issue 10, October 2012, Pages 1465–1472
نویسندگان
Yendoubouam Tampango, Michel Potier-Ferry, Yao Koutsawa, Salim Belouettar,