The modified quadrature method for classical pseudodifferential equations of negative order on smooth closed curves
The authors present a modified quadrature method for strongly elliptic boundary integral equations of negative order on smooth closed curves. The method employs a modification that extracts the singularity appearing in the kernel or in some of its derivatives. For approximation of the integral the composite rule is used. Moreover, stability and convergence of this method are shown. Some numerical experiments confirming the theoretical results are also presented.
strongly elliptic boundary integral equations of negative order
scientific article; zbMATH DE number 643777
scientific article