The numerical performance of wavelets for PDEs: the multi-scale finite element
作者： M. A. Christon , D. W. Roach
关键词: Differential equation 、 Partial differential equation 、 Finite element method 、 Iterative method 、 Wavelet 、 Elliptic partial differential equation 、 Numerical analysis 、 Mathematical optimization 、 Wavelet transform 、 Mathematics
摘要: The research summarized in this paper is part of a multi-year effort focused on evaluating the viability wavelet bases for solution partial differential equations. primary objective work has been to establish foundation hierarchical/wavelet simulation methods based upon numerical performance, computational efficiency, and ability exploit hierarchical adaptive nature wavelets. This demonstrated that can be effective problems with dominant elliptic character. However, strict enforcement orthogonality usual L 2 sense less desirable than energy norm. conclusion led development multi-scale linear finite element change-of-basis. considers performance Schauder basis Galerkin context. A unique row-column lumping procedure developed strategies 1-D 2-D
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