Effective semi-analytic integration for hypersingular Galerkin boundary integral equations for the Helmholtz equation in 3D |
| |
Authors: | Jan Zapletal Ji?í Bouchala |
| |
Institution: | 1. Department of Applied Mathematics, V?B-TU Ostrava, 17. listopadu 15/2172, 708 33, Ostrava-Poruba, Czech Republic
|
| |
Abstract: | We deal with the Galerkin discretization of the boundary integral equations corresponding to problems with the Helmholtz equation in 3D. Our main result is the semi-analytic integration for the bilinear form induced by the hypersingular operator. Such computations have already been proposed for the bilinear forms induced by the single-layer and the double-layer potential operators in the monograph The Fast Solution of Boundary Integral Equations by O. Steinbach and S. Rjasanow and we base our computations on these results. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |