کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4605469 | 1337574 | 2009 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Orthogonal Helmholtz decomposition in arbitrary dimension using divergence-free and curl-free wavelets
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Orthogonal Helmholtz decomposition in arbitrary dimension using divergence-free and curl-free wavelets Orthogonal Helmholtz decomposition in arbitrary dimension using divergence-free and curl-free wavelets](/preview/png/4605469.png)
چکیده انگلیسی
We present tensor-product divergence-free and curl-free wavelets, and define associated projectors. These projectors enable the construction of an iterative algorithm to compute the Helmholtz decomposition of any vector field, in wavelet domain. This decomposition is localized in space, in contrast to the Helmholtz decomposition calculated by Fourier transform. Then we prove the convergence of the algorithm in dimension two for any kind of wavelets, and in larger dimension for the particular case of Shannon wavelets. We also present a modification of the algorithm by using quasi-isotropic divergence-free and curl-free wavelets. Finally, numerical tests show the validity of this approach for a large class of wavelets.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied and Computational Harmonic Analysis - Volume 26, Issue 2, March 2009, Pages 249-269
Journal: Applied and Computational Harmonic Analysis - Volume 26, Issue 2, March 2009, Pages 249-269