Estimating quadrature errors for an efficient method for quasi-singular boundary integral |
| |
Authors: | Khalil Maatouk |
| |
Institution: | Department of Mathematics, Faculty of Sciences V, Lebanese University, Nabatieh, Lebanon |
| |
Abstract: | The numerical resolution of the boundary integral equations applied to the differential equations of Laplace, Helmholtz and Maxwell requires the handling of quasi-singular integrals with different order of singularity. The numerical approximation of the integral equations of different kinds is made by boundary finite elements. In this paper, we present a complete survey for estimating quadrature errors for the numerical techniques proposed by Huang and Cruse Q. Huang, T.A. Cruse, Some notes on singular integral techniques in boundary element analysis, Int. J. Numer. Methods Eng. 36 (15) (1993) 2643-2659], to calculate the quasi-singular integrals. To validate the accuracy and efficiency of these techniques and approve our study some numerical examples are presented and discussed. |
| |
Keywords: | Quasi-singular integral Boundary integral equations Gaussian quadrature Quadrature errors Galerkin method |
本文献已被 ScienceDirect 等数据库收录! |
|