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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Optimized Schwarz methods with Ventcell transmission conditions for model problems with continuously variable coefficients
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
نویسندگان
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