کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1704733 | 1012414 | 2011 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A regularization method for solving the Cauchy problem for the Helmholtz equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
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چکیده انگلیسی
In this paper, we investigate a Cauchy problem associated with Helmholtz-type equation in an infinite “strip”. This problem is well known to be severely ill-posed. The optimal error bound for the problem with only nonhomogeneous Neumann data is deduced, which is independent of the selected regularization methods. A framework of a modified Tikhonov regularization in conjunction with the Morozov’s discrepancy principle is proposed, it may be useful to the other linear ill-posed problems and helpful for the other regularization methods. Some sharp error estimates between the exact solutions and their regularization approximation are given. Numerical tests are also provided to show that the modified Tikhonov method works well.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 35, Issue 7, July 2011, Pages 3301–3315
Journal: Applied Mathematical Modelling - Volume 35, Issue 7, July 2011, Pages 3301–3315
نویسندگان
Xiao-Li Feng, Chu-Li Fu, Hao Cheng,