Towards a Realization of a Wavelet Galerkin Method on Non-Trivial Domains

Authors:
Stefano Berrone;Laurent Emmel
Affiliations:
Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy. sberrone@calvino.polito.it, http://calvino.polito.it/~sberrone;Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy. emmel@calvino.polito.it
Venue:
Journal of Scientific Computing
Year:
2002

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Towards a Realization of a Wavelet Galerkin Method on Non-Trivial Domains

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Abstract

In this paper we describe a realization of a Wavelet–Galerkin method for numerically solving second order elliptic PDEs on general domains using the Wavelet Element Method (WEM) [4, 5]. Suitable {\sf C}++ data structures allowing an efficient implementation of this method are described and numerical results also indicating the flexibility of our realization are presented.