کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1141148 | 956766 | 2009 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Reconstruction of the corrosion boundary for the Laplace equation by using a boundary collocation method
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Reconstruction of the corrosion boundary for the Laplace equation by using a boundary collocation method Reconstruction of the corrosion boundary for the Laplace equation by using a boundary collocation method](/preview/png/1141148.png)
چکیده انگلیسی
In this paper, we consider the identification of a corrosion boundary for the two-dimensional Laplace equation. A boundary collocation method is proposed for determining the unknown portion of the boundary from the Cauchy data on a part of the boundary. Since the resulting matrix equation is badly ill-conditioned, a regularized solution is obtained by employing the Tikhonov regularization technique, while the regularization parameter is provided by the generalized cross-validation criterion. Numerical examples show that the proposed method is reasonable and feasible.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 79, Issue 7, March 2009, Pages 2148-2156
Journal: Mathematics and Computers in Simulation - Volume 79, Issue 7, March 2009, Pages 2148-2156
نویسندگان
Fenglian Yang, Liang Yan, Ting Wei,