کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1703196 1519404 2015 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An order optimal regularization method for the Cauchy problem of a Laplace equation in an annulus domain
ترجمه فارسی عنوان
یک روش تنظیم درست به منظور حل مسئله کوشی معادله لاپلاس در حوزه حلقه
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
چکیده انگلیسی

The detection of defects due to corrosion in oil pipeline industry is very important. Detecting corrosion by electrical field can be modeled as a Cauchy problem for a Laplace equation in an annulus domain, which is well known to be severely ill-posed. In this paper, a modified Tikhonov regularization method is proposed. And a Hölder-type error estimate is achieved, which is order optimal according to the general regularization theory. Moreover, a Fast Fourier Transform (FFT) is used in the numerical implementation. Finally, numerical results show that the regularization method and FFT work well.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 39, Issues 10–11, 1 June 2015, Pages 3063–3074
نویسندگان
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