کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
522969 | 867889 | 2007 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Transparent boundary conditions for the Helmholtz equation in some ramified domains with a fractal boundary
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The paper addresses a class of boundary value problems in some self-similar ramified domains, with the Laplace or Helmholtz equations. Much stress is placed on transparent boundary conditions which allow the solutions to be computed in subdomains. A self similar finite element method is proposed and tested. It can be used for numerically computing the spectrum of the Laplace operator with Neumann boundary conditions, as well as the eigenmodes. The eigenmodes are normalized by means of a perturbation method and the spectral decomposition of a compactly supported function is carried out. Finally, a numerical method for the wave equation is addressed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 220, Issue 2, 10 January 2007, Pages 712–739
Journal: Journal of Computational Physics - Volume 220, Issue 2, 10 January 2007, Pages 712–739
نویسندگان
Yves Achdou, Christophe Sabot, Nicoletta Tchou,