Overlapped Bem-Fem and Some Schwarz Iterations

Verfasser / Beitragende:
Celorrio, Ricardo; Dominguez, Victor; Sayas, Francisco-Javier
Ort, Verlag, Jahr:
2004
Enthalten in:
Computational Methods in Applied Mathematics, 4/1(2004), 3-22
Format:
Artikel (online)
ID: 378884131
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024 7 0 |a 10.2478/cmam-2004-0001  |2 doi 
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245 0 0 |a Overlapped Bem-Fem and Some Schwarz Iterations  |h [Elektronische Daten] 
520 3 |a 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. 
540 |a 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. 
690 7 |a finite elements  |2 nationallicence 
690 7 |a boundary elements  |2 nationallicence 
690 7 |a Schwarz method  |2 nationallicence 
700 1 |a Celorrio  |D Ricardo  |u Departomento de Mathematica Aplicada, Universidad de Zaragoza, EUITIZ, 50018 Zaragoza, Spain 
700 1 |a Dominguez  |D Victor  |u Departomento de Mathematica e Informatica, Universidad Publica de Navarra Campus de Arrosadia s/n, 31.006 Pamplona, Spain 
700 1 |a Sayas  |D Francisco-Javier  |u Departomento de Mathematica Aplicada, Universidad de Zaragoza C.P.S., 50018 Zaragoza, Spain 
773 0 |t Computational Methods in Applied Mathematics  |d De Gruyter  |g 4/1(2004), 3-22  |x 1609-4840  |q 4:1<3  |1 2004  |2 4  |o cmam 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Celorrio  |D Ricardo  |u Departomento de Mathematica Aplicada, Universidad de Zaragoza, EUITIZ, 50018 Zaragoza, Spain 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Dominguez  |D Victor  |u Departomento de Mathematica e Informatica, Universidad Publica de Navarra Campus de Arrosadia s/n, 31.006 Pamplona, Spain 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Sayas  |D Francisco-Javier  |u Departomento de Mathematica Aplicada, Universidad de Zaragoza C.P.S., 50018 Zaragoza, Spain 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Computational Methods in Applied Mathematics  |d De Gruyter  |g 4/1(2004), 3-22  |x 1609-4840  |q 4:1<3  |1 2004  |2 4  |o cmam 
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