کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4642998 1341363 2007 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A two-stage method for nonlinear inverse problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A two-stage method for nonlinear inverse problems
چکیده انگلیسی

In this work we are interested in the solution of nonlinear inverse problems of the form F(x)=yF(x)=y. We consider a two-stage method which is third order convergent for well-posed problems. Combining the method with Levenberg–Marquardt regularization of the linearized problems at each stage and using the discrepancy principle as a stopping criterion, we obtain a regularization method for ill-posed problems. Numerical experiments on some parameter identification and inverse acoustic scattering problems are presented to illustrate the performance of the method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 198, Issue 2, 15 January 2007, Pages 471–482
نویسندگان
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