کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4616730 | 1631567 | 2013 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Topological and shape gradient strategy for solving geometrical inverse problems
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Topological and shape gradient strategy for solving geometrical inverse problems Topological and shape gradient strategy for solving geometrical inverse problems](/preview/png/4616730.png)
چکیده انگلیسی
In this paper we present a technique for shape reconstruction based on the topological and shape gradients. The shape in consideration is a solution of an inverse conductivity problem. To solve such a problem numerically, we compute the topological gradient of a Kohn–Vogelius-type cost function when the domain under consideration is perturbed by the introduction of a small inclusion instead of a hole. The reconstruction is done by considering the shape as a superposition of very thin elliptic inclusions to get a first approximation. Then, we use a gradient-type algorithm to perform a good reconstruction. Various numerical experiments of single and multiple inclusions demonstrate the viability of the designed algorithm.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 400, Issue 2, 15 April 2013, Pages 724–742
Journal: Journal of Mathematical Analysis and Applications - Volume 400, Issue 2, 15 April 2013, Pages 724–742
نویسندگان
S. Chaabane, M. Masmoudi, H. Meftahi,