Sonderforschungsbereich 393 Numerische Simulation Auf Massiv Parallelen Rechnern Two Boundary Element Methods for the Clamped Plate Preprint-reihe Des Chemnitzer Sfb 393

In this paper we retail the approximation of the clamped plate problem by means of two boundary element methods. In both cases, the variational formulation is given on product of Sobolev spaces and we avoid the orthogonality to polynomials of degree one. The use of biorthogonal wavelets on these spaces leads to a well-conditioned sti ness matrix and reduces strongly the complexity thanks to a compression procedure. The solution of the compressed Galerkin scheme converges to the exact solution at the same rate as for the classic Galerkin method.