| Título: | Galerkin BEM with Direct Evaluation of Hypersingular Integrals |
| Autores: |
Marc Bonnet; Laboratoire de M`ecanique des Solides, Ecole Polytechnique Massimo Guiggiani; Dipartimento di Ingegneria Meccanica, Nucleare e della Produzione, Universit`a di Pisa |
| Fecha: | 2007-10-25 |
| Publicador: | Electronic journal of boundary elements |
| Fuente: |
 |
| Tipo: | |
| Tema: | No aplica |
| Descripción: | In this paper a new general algorithm is presented for the direct evaluation of all singular double integrals arising in the 2D Galerkin BEM, including those with hypersingular kernels. A distinguishing feature of the proposed method is that double singular integrals are treated as a whole, that is not as inner integrals followed by outer ones. Therefore, when applied to the symmetric Galerkin BEM, the proposed technique is strictly symmetry preserving. Moreover, a careful analysis of the limiting process is performed which shows that some new free terms may arise. |
| Idioma: | Inglés |
1 Algebraic preconditioners for the Fast Multipole Method in electromagnetic scattering analysis from large structures: trends and problems por Bruno Carpentieri; Rutgers University Libraries | 6 Hybrid Green's functions for multiple cracks: Numerical extension of single crack analytical Green's functions to multiple cracks por M. Denda; Rutgers University |
2 An iterative method based on boundary integrals for elliptic Cauchy problems in semi-infinite domains por R. Chapko; Rutgers University Libraries,B.T. Johansson | 7 Green's Function Method for an Axisymmetric Void Between Parallel Walls por Gautam Sudhir Chandekar; Tennessee Technological University,Joseph D. Richardson; Tennessee Technological University,Yuri A. Melnikov; Middle Tennessee State University,Sally J. Pardue; Tennessee Technological University |
3 Hypersingular formulation for boundary stress evaluation revisited. Part 2: Corners. por Alberto Salvadori; University of Brescia | 8 A BEM for the Propagation of Nonlinear Planar Free-surface Waves por V. Vinayan; University of Texas at Austin,S. A. Kinnas; University of Texas at Austin |
4 Hypersingular formulation for boundary stress evaluation revisited. Part 1: Smooth boundaries. por Alberto Salvadori; University of Brescia | 9 A Hypersingular Boundary Integral Equation for a Class of Problems Concerning Infiltration from Periodic Channels por David L Clements; The University of Adelaide,Maria Lobo; The University of Adelaide,Nyoman Widana; Universitas Udayana, Bali |
5 Numerical modelling of the blowing phase in the production of glass containers por Willem Dijkstra; Eindhoven University of Technology,Bob Mattheij | 10 Direct evaluation of hypersingular Galerkin surface integrals II por Leonard J. Gray; Oak Ridge National Laboratory,Alberto Salvadori; University of Brescia,Anh-Vu Phan; University of South Alabama,Vladislav Mantic; University of Sevilla |