The extrapolation methods based on Simpson’s rule for computing supersingular integral on interval

摘要

The Simpson’s rule for the computation of supersingular integrals in boundary element methods is discussed, and the asymptotic expansion of error function is obtained. A series to approach the singular point is constructed. The extrapolation algorithm is presented and the convergence rate is proved. Some numerical results are also reported to confirm the theoretical results and show the efficiency of the algorithms.