Hierarchical Quadrature for Singular Integrals |
| |
Authors: | S Börm W Hackbusch |
| |
Affiliation: | (1) Max-Planck-Institut für Mathematik in den Naturwissenschaften, Inselstrasse 22–26, 04103 Leipzig, Germany |
| |
Abstract: | We introduce a method for the computation of singular integrals arising in the discretization of integral equations. The basic method is based on the concept of admissible subdomains, known, e.g., from panel clustering techniques and -matrices: We split the domain of integration into a hierarchy of subdomains and perform standard quadrature on those subdomains that are amenable to it. By using additional properties of the integrand, we can significantly reduce the algorithmic complexity of our approach. The method works also well for hypersingular integrals. |
| |
Keywords: | 65D32 42B20 |
本文献已被 SpringerLink 等数据库收录! |
|