کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8902613 1632144 2018 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A projection method with regularization for Cauchy problem of the time-harmonic Maxwell equations
ترجمه فارسی عنوان
یک روش طرح ریزی با تنظیم مساله کوشی معادلات ماکسول هارمونیک زمان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات محاسباتی
چکیده انگلیسی
We develop a projection method with regularization for reconstructing the radiation electromagnetic field in the exterior of a bounded domain from the knowledge of Cauchy data. The method is divided into two parts. We first solve the complete tangential component of the electrical field on the boundary of that domain from Cauchy data. The radiation electromagnetic field is then recovered from the complete tangential component of the electrical field. For the first part, we transform the Cauchy problem into a compact operator equation by means of the electric-to-magnetic Calderón operator and propose a projection method with regularization to solve that compact operator equation. Meanwhile, we analyze the asymptotic behavior of the singular values of the corresponding compact operator. For the second part, we expend the radiation electromagnetic field to the vector spherical harmonics. Numerical examples are finally presented to demonstrate the computational efficiency of the proposed method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 129, July 2018, Pages 71-82
نویسندگان
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