A REALIZATION OF A WAVELET GALERKIN METHOD ON NONTRIVIAL DOMAINS
Stefano Berrone, Laurent Emmel · Mathematical Models and Methods in Applied Sciences · 2002
In this paper we describe a realization of the Wavelet Element Method (WEM), for numerically solving second-order elliptic PDEs on fairly general domains. We describe in a detailed form the construction of biorthogonal wavelet bases on these domains. The domain of interest is split into subdomains and mapped to the unit reference cube. The bases obtained on each subdomain are matched to obtain continuous global wavelet bases. Suitable [Formula: see text] data structures for an efficient implementation of the wavelet Galerkin method are described.