caa a22 4500 378884131 CHVBK 20180305123438.0 cr unu---uuuuu 161128s2004 xx s 000 0 eng 10.2478/cmam-2004-0001 doi (NATIONALLICENCE)gruyter-10.2478/cmam-2004-0001 Overlapped Bem-Fem and Some Schwarz Iterations [Elektronische Daten] In this work we consider the numerical solution of the Laplace's equation in a domain with holes by means of the overlapping of finite and boundary elements. The essence of the method is the consideration of the finite element solution of the Laplace's equation in the domain without holes and the exterior single{layer solution on the unbounded domain around these holes. This solution can be viewed as a limit of a discretized interior{exterior Schwarz-type iteration. A convergence analysis of both the iteration and the discrete solution is carried out, taking full generality in the BEM scheme. Some numerical experiments are also given. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. finite elements nationallicence boundary elements nationallicence Schwarz method nationallicence Celorrio Ricardo Departomento de Mathematica Aplicada, Universidad de Zaragoza, EUITIZ, 50018 Zaragoza, Spain Dominguez Victor Departomento de Mathematica e Informatica, Universidad Publica de Navarra Campus de Arrosadia s/n, 31.006 Pamplona, Spain Sayas Francisco-Javier Departomento de Mathematica Aplicada, Universidad de Zaragoza C.P.S., 50018 Zaragoza, Spain Computational Methods in Applied Mathematics De Gruyter 4/1(2004), 3-22 1609-4840 4:1<3 2004 4 cmam https://doi.org/10.2478/cmam-2004-0001 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2478/cmam-2004-0001 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Celorrio Ricardo Departomento de Mathematica Aplicada, Universidad de Zaragoza, EUITIZ, 50018 Zaragoza, Spain NATIONALLICENCE 700 1- Dominguez Victor Departomento de Mathematica e Informatica, Universidad Publica de Navarra Campus de Arrosadia s/n, 31.006 Pamplona, Spain NATIONALLICENCE 700 1- Sayas Francisco-Javier Departomento de Mathematica Aplicada, Universidad de Zaragoza C.P.S., 50018 Zaragoza, Spain NATIONALLICENCE 773 0- Computational Methods in Applied Mathematics De Gruyter 4/1(2004), 3-22 1609-4840 4:1<3 2004 4 cmam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter