کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5776624 | 1632155 | 2017 | 43 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
High-order numerical solution of the Helmholtz equation for domains with reentrant corners
ترجمه فارسی عنوان
حل عددی مرتبه بالا از معادله هلمولتز برای دامنه هایی با گوشه های برگشت پذیر
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
چکیده انگلیسی
Standard numerical methods often fail to solve the Helmholtz equation accurately near reentrant corners, since the solution may become singular. The singularity has an inhomogeneous contribution from the boundary data near the corner and a homogeneous contribution that is determined by boundary conditions far from the corner. We present a regularization algorithm that uses a combination of analytical and numerical tools to distinguish between these two contributions and ultimately subtract the singularity. We then employ the method of difference potentials to numerically solve the regularized problem with high-order accuracy over a domain with a curvilinear boundary. Our numerical experiments show that the regularization successfully restores the design rate of convergence.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 118, August 2017, Pages 87-116
Journal: Applied Numerical Mathematics - Volume 118, August 2017, Pages 87-116
نویسندگان
S. Magura, S. Petropavlovsky, S. Tsynkov, E. Turkel,