کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4635620 | 1340713 | 2007 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Numerical solution for biharmonic equation using multilevel radial basis functions and domain decomposition methods
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Biharmonic equation has significant applications in physics and engineering, but is difficult to solve due to the existing fourth order derivatives. One of the domain-type mashless methods is obtained by simply applying the radial basis functions (RBFs) as a direct collocation, which has shown to be effective in solving complicated physical problems with irregular domains. In this paper, we utilize overlapping domain decomposition and multilevel RBF methods for solving biharmonic equation. Numerical results indicate that these two methods circumvent the ill-conditioning problem resulted from using the radial basis function as a global interpolant.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 186, Issue 1, 1 March 2007, Pages 246–255
Journal: Applied Mathematics and Computation - Volume 186, Issue 1, 1 March 2007, Pages 246–255
نویسندگان
H. Adibi, Jaafar Es’haghi,