On the robustness of the dampedV-cycle of the wavelet frequency decomposition multigrid method | Zendy

Andreas Rieder | Zendy; Xiaodong Zhou | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On the robustness of the dampedV-cycle of the wavelet frequency decomposition multigrid method

Author(s) -

Andreas Rieder,

Xiaodong Zhou

Publication year - 1994

Publication title -

computing

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.409

H-Index - 60

eISSN - 1436-5057

pISSN - 0010-485X

DOI - 10.1007/bf02252987

Subject(s) - multigrid method , wavelet , robustness (evolution) , mathematics , wavelet packet decomposition , convergence (economics) , mathematical analysis , wavelet transform , computer science , partial differential equation , biochemistry , chemistry , artificial intelligence , economics , gene , economic growth

The dampedV-cycle of the wavelet variation of the “Frequency decomposition multigrid method” of Hackbusch [Numer. Math.56, pp. 229–245 (1989)] is considered. It is shown that the convergence speed under sufficient damping is not affected by the presence of anisotropy but still depends on the number of levels. Our analysis is based on properties of wavelet packets which are supplied and proved. Numerical approximations to the speed of convergence illustrate the theoretical results.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research