کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4631867 | 1340630 | 2010 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The Neumann problem for the Helmholtz equation in a starlike planar domain
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The Neumann problem for the Helmholtz equation in a starlike planar domain The Neumann problem for the Helmholtz equation in a starlike planar domain](/preview/png/4631867.png)
چکیده انگلیسی
The interior and exterior Neumann problems for the Helmholtz equation in starlike planar domains are addressed by using a suitable Fourier-like technique. Attention is in particular focused on normal-polar domains whose boundaries are defined by the so called “superformula” introduced by Gielis. A dedicated numerical procedure based on a computer algebra system is developed in order to validate the proposed approach. In this way, highly accurate approximations of the solution, featuring properties similar to classical ones, are obtained. Computed results are found to be in good agreement with theoretical findings on Fourier series expansion presented by Carleson.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 216, Issue 2, 15 March 2010, Pages 556-564
Journal: Applied Mathematics and Computation - Volume 216, Issue 2, 15 March 2010, Pages 556-564
نویسندگان
D. Caratelli, P. Natalini, P.E. Ricci, A. Yarovoy,