Analysis of a Non-overlapping Domain Decomposition Method for Elliptic Equations
- Tomás Chacón Rebollo 1
- Eliseo Chacón Vera 1
- Antonio Domínguez Delgado 2
- 1 Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla,
- 2 Departamento Matemática Aplicada I, Universidad de Sevilla.
- Luis Ferragut (coord.)
- Anastasio Santos (coord.)
Argitaletxea: Universidad de Salamanca
ISBN: 8469961446
Argitalpen urtea: 2001
Orrialdeak: 397-398
Biltzarra: Congreso de Ecuaciones Diferenciales y Aplicaciones (17. 2001. Salamanca)
Mota: Biltzar ekarpena
Laburpena
In this note we study the convergence properties of a variation of the technique proposed in [1] for solving elliptic steady equations based on a non overlapping domain decomposition and the introduction of a penalty term. Under some regularity we show the properties of this technique. For illustrating purposes we perform the analysis on the Dirichlet problem for the Laplace operator but it can be reproduced for any general symmetric elliptic operator.