Title :
Domain decomposition method with wavelet collocation
Author :
Baoyan Fang ; Shuangliang Tian ; Zhigang Wang
Author_Institution :
Sch. of Math. & Comput. Sci., Northwest Univ. for Nat., Lanzhou, China
Abstract :
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.
Keywords :
elliptic equations; matrix algebra; partial differential equations; wavelet transforms; coefficient matrix; domain decomposition; elliptic equations; ill-conditioned problem; partial differential equations; wavelet collocation; Convergence; Equations; Fourier transforms; Mathematical model; Matrix decomposition; Partial differential equations; Wavelet domain; domain decomposition method; wavelet collocation; wavelet methods;
Conference_Titel :
Image and Signal Processing (CISP), 2010 3rd International Congress on
Print_ISBN :
978-1-4244-6513-2
DOI :
10.1109/CISP.2010.5647545
