کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6422427 1632002 2015 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Local multiple traces formulation for high-frequency scattering problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Local multiple traces formulation for high-frequency scattering problems
چکیده انگلیسی

We present an efficient method to solve high-frequency scattering problems by heterogeneous penetrable objects in two dimensions. This is achieved by extending the so-called Local Multiple Traces Formulation, introduced recently by Hiptmair and Jerez-Hanckes, to purely spectral discretizations employing weighted Chebyshev polynomials. Together with regularization strategies to handle boundary integral operators singularities, matrix entries are quickly computed via the Fast Fourier Transform. The resulting Fredholm first-kind formulation is free from spurious resonances, and though ill-conditioned, it possesses built-in Calderón-type preconditioners. Numerical results obtained for different settings validate our claims and greatly motivate future research in this direction.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 289, 1 December 2015, Pages 306-321
نویسندگان
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