An Extraction Technique for Boundary Element Methods
H. Schulz, C. William Schwab, Wolfgang L. Wendland · Notes on numerical fluid mechanics · 1996
SummaryHere we present the twodimensional version of a bootstrapping algorithm for the extraction of potentials and arbitrary derivatives of the Cauchy-data for the Laplacian in connection with corresponding boundary integral equations. The method uses the derivatives of the Green’s representation formula in terms of Cauchy singular or weakly singular integrals and their compositions with derivatives. We find a method, which allows the recursive numerical extraction of potentials and their derivatives near and up to the boundary curve.