Archivio Istituzionale della RicercaIn this paper, we introduce a simple adaptive wavelet element algorithm similar to the Cohen–Dahmen–DeVore algorithm [A. Cohen, W. Dahmen, and R. DeVore, Math. Comp., 70 (2001), pp. 27–75]. The main difference is that we do not assume knowledge of the many constants appearing therein. The algorithm is easy to implement and applicable to a large class of problems in fairly general domains. The efficiency is illustrated by several two-dimensional numerical examples and compared with an adaptive finite element method.
An adaptive WEM algorithm for solving elliptic boundary value problems in fairly general domains / Berrone, Stefano; Kozubek, T.. - In: SIAM JOURNAL ON SCIENTIFIC COMPUTING. - ISSN 1064-8275. - 28:6(2006), pp. 2114-2138. [10.1137/04062014X]
An adaptive WEM algorithm for solving elliptic boundary value problems in fairly general domains
BERRONE, Stefano;
2006
Abstract
In this paper, we introduce a simple adaptive wavelet element algorithm similar to the Cohen–Dahmen–DeVore algorithm [A. Cohen, W. Dahmen, and R. DeVore, Math. Comp., 70 (2001), pp. 27–75]. The main difference is that we do not assume knowledge of the many constants appearing therein. The algorithm is easy to implement and applicable to a large class of problems in fairly general domains. The efficiency is illustrated by several two-dimensional numerical examples and compared with an adaptive finite element method.
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https://hdl.handle.net/11583/1634940
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