کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4641242 1341300 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Efficient implementation of the MFS: The three scenarios
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Efficient implementation of the MFS: The three scenarios
چکیده انگلیسی

In this study we investigate the approximation of the solutions of harmonic problems subject to Dirichlet boundary conditions by the Method of Fundamental Solutions (MFS). In particular, we study the application of the MFS to Dirichlet problems in a disk. The MFS discretization yields systems which possess special features which can be exploited by using Fast Fourier transform (FFT)-based techniques. We describe three possible formulations related to the ratio of boundary points to sources, namely, when the number of boundary points is equal, larger and smaller than the number of sources. We also present some numerical experiments and provide an efficient MATLAB implementation of the resulting algorithms.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 227, Issue 1, 1 May 2009, Pages 83–92
نویسندگان
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