کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8902137 | 1631957 | 2018 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Optimized Schwarz methods with Ventcell transmission conditions for model problems with continuously variable coefficients
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The Ventcell transmission conditions can enhance greatly the convergence of subdomain iterations using optimization-based parameters. However, such optimization can now only be performed for model problems with constant coefficients and thus forms a gap between the theoretical analysis and the applications where the model problems are seldom to be constant coefficients. In this paper, we close this gap by a rigorous analysis on the optimized Schwarz methods with Ventcell transmission conditions for a model problem where the reaction term varies parallel to the interface continuously. We obtain the asymptotically optimal transmission parameters by optimizing a convergence factor that is obtained using the technique of separation of variables other than the often-used Fourier transform, and then the corresponding convergence factor estimate follows. We at last validate the theoretical findings by numerical experiments.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 334, 15 May 2018, Pages 97-110
Journal: Journal of Computational and Applied Mathematics - Volume 334, 15 May 2018, Pages 97-110
نویسندگان
Yingxiang Xu,