Domain decomposition method with wavelet collocation

Domain decomposition method with wavelet collocation

A new domain decomposition method based on wavelet collocation is developed in this paper. The method slows down the ill-conditioned problem caused by much larger condition number of the coefficient matrix when wavelet collocation is used for solving partial differential equations defined large-scal...

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Bibliographische Detailangaben
Hauptverfasser: Baoyan Fang, Shuangliang Tian, Zhigang Wang
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Convergence
domain decomposition method
Equations
Fourier transforms
Mathematical model
Matrix decomposition
Partial differential equations
wavelet collocation
Wavelet domain
wavelet methods
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Beschreibung
Zusammenfassung:A new domain decomposition method based on wavelet collocation is developed in this paper. The method slows down the ill-conditioned problem caused by much larger condition number of the coefficient matrix when wavelet collocation is used for solving partial differential equations defined large-scale regions. Moreover, the method is applied to elliptic equations to examine its appropriateness.
DOI:10.1109/CISP.2010.5647545