Jeudi 2 septembre 1997 Séminaire d'analyse numérique et
mécanique, Université de Rennes 1
#
Wavelet-Galerkin BEM for second kind BIEs on polyhedra

## Christophe SCHWAB

Seminar für Angewandte Mathematik

ETH-Zürich

Rämistrasse 101

CH-8092 Zürich, Switzerland

The implementation of a wavelet-based Galerkin discretization
of the double layer potential operator on polyhedral surfaces
is described. The algorithm generates an
approximate stiffness matrix with O(N(log N)^{2}) entries
in O(N(log N)^{3}) operations where N is the number of degrees
of freedom on the boundary. The condition number of
the compressed stiffness matrix is bounded uniformly with
respect to N. This work was presented in the 13th GAMM-Seminar
on Numerical Treatment of Multi-Scale Problems, January 1997.