Error bounds of discretization methods for boundary integral equations with noisy data
- Bruckner, Gottfried
- Prößdorf, Siegfried
- Vainikko, Gennadi
2010 Mathematics Subject Classification
- 65R30 65R20
- logarithmic difference kernel, collocation method, quadrature formula, perturbations, error analysis, Sobolev spaces, Hölder-Zygmund spaces, Symm´s integral equation
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.
- Applicable Analysis 63, (1996), pp. 25-37.