کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4922428 | 1430179 | 2017 | 46 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Fading regularization MFS algorithm for the Cauchy problem associated with the two-dimensional Helmholtz equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی عمران و سازه
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چکیده انگلیسی
In this paper, we combine the fading regularization method with the method of fundamental solutions (MFS) and investigate its application to the Cauchy problem for the two-dimensional Helmholtz equation. We present a numerical reconstruction of the missing data on an inaccessible part of the boundary from the knowledge of overprescribed noisy data taken on the remaining accessible boundary part for both smooth and piecewise smooth two-dimensional geometries. The accuracy, convergence, stability and efficiency of the proposed numerical algorithm, as well as its capability to deblur the noisy data, are validated by three numerical examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Solids and Structures - Volume 125, 15 October 2017, Pages 122-133
Journal: International Journal of Solids and Structures - Volume 125, 15 October 2017, Pages 122-133
نویسندگان
Laëtitia Caillé, Franck Delvare, Liviu Marin, Nathalie Michaux-Leblond,