Error bounds of discretization methods for boundary integral equations with noisy data

Abstract

The influence of small perturbations in the kernel and the right-hand side of boundary integral equations, e.g. of Symm's integral equation, discretized by collocation or quadrature formula methods, is analyzed in Sobolev and Hölder-Zygmund norms.

Keywords:

• symm's integral equation
• logarithmic difference kernel
• collocation methods
• quadrature formula methods
• perturbations in the kernel and the right-hand side
• error analysis in Sobolevand Hölder-Zygmund spaces