von Petersdorff, Tobias; Schwab, Christoph Wavelet approximations for first kind boundary integral equations on polygons. (English) Zbl 0863.65074 Numer. Math. 74, No. 4, 479-516 (1996). The present paper is devoted to the analysis of wavelet based symmetric Galerkin schemes for boundary integral equations of the first kind on polygonal domains in \(\mathbb{R}^2\). The results hold also for first kind boundary integral equations arising in the problem of plane elasticity on polygonal domains. The numerical experiments indicate that the estimates of the consistency error due to the matrix compressions obtained are efficient. Reviewer: N.F.F.Ebecken (Rio de Janeiro) Cited in 1 ReviewCited in 52 Documents MSC: 65N38 Boundary element methods for boundary value problems involving PDEs 74S15 Boundary element methods applied to problems in solid mechanics 65N15 Error bounds for boundary value problems involving PDEs 35J25 Boundary value problems for second-order elliptic equations Keywords:boundary integral equations; wavelet approximations; Galerkin method; boundary element method; numerical examples; error estimates; polygonal domains; plane elasticity PDFBibTeX XMLCite \textit{T. von Petersdorff} and \textit{C. Schwab}, Numer. Math. 74, No. 4, 479--516 (1996; Zbl 0863.65074) Full Text: DOI