کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5776678 1632154 2017 38 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Neumann problems of 2D Laplace's equation by method of fundamental solutions
ترجمه فارسی عنوان
معضلات نویمان معادله لاپلاس دو بعدی با روش راه حل های اساسی
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات محاسباتی
چکیده انگلیسی
The method of fundamental solutions (MFS) was first used by Kupradze in 1963 [21]. Since then, there have appeared numerous reports of the MFS. Most of the existing analysis for the MFS are confined to Dirichlet problems on disk domains. It seems to exist no analysis for Neumann problems. This paper is devoted to Neumann problems in non-disk domains, and the new stability analysis and the error analysis are made. The bounds for both condition numbers and errors are derived in detail. The optimal convergence rates in L2 and H1 norms in S are achieved, and the condition number grows exponentially as the number of fundamental functions increases. To reduce the huge condition numbers, the truncated singular value decomposition (TSVD) may be solicited. Numerical experiments are provided to support the analysis made. The analysis for Neumann problems in this paper is intriguing due to its distinct features.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 119, September 2017, Pages 126-145
نویسندگان
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