An interior–exterior Schwarz algorithm and its convergenceUn algorithme de Schwarz intérieur–extérieur et sa convergence |
| |
Authors: | Ricardo Celorrio V??ctor Domínguez Francisco-Javier Sayas |
| |
Institution: | 1. Dep. Matemática Aplicada, EUITI, Universidad de Zaragoza, 50015 Zaragoza, Spain;2. Dep. Matemática e Informática, Univ. Pública de Navarra, Campus de Arrosad??a, 31006 Pamplona, Spain;3. Dep. Matemática Aplicada, C.P.S., Universidad de Zaragoza, 50015 Zaragoza, Spain |
| |
Abstract: | In this work we study the solution of Laplace's equation in a domain with holes by an iteration consisting of splitting the problem in an exterior one, around the holes, plus an interior problem in the unholed domain. We show the existence of a decomposition of the solution when the exterior problem is represented by means of a single-layer protential. Also, for the three-dimensional case and with some adjustments for the two-dimensional case, we prove convergence of the method by writing the iteration as a Jacobi iteration for an operator equation and studying the spectrum of the iteration operator. To cite this article: R. Celorrio et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 923–926. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|