Analysis of a Non-overlapping Domain Decomposition Method for Elliptic Equations

• Tomás Chacón Rebollo ^[1] ; Eliseo Chacón Vera ^[1] ; Antonio Domínguez Delgado ^[1]
  1. [1] Universidad de Sevilla

     Universidad de Sevilla

     Sevilla, España

     
• Localización: XVII Congreso de Ecuaciones Diferenciales y Aplicaciones ; VII Congreso de Matemática Aplicada: Salamanca, 14-28 septiembre 2001 / coord. por Luis Ferragut Canals , Anastasio Pedro Santos Yanguas , 2001, ISBN 8469961446, págs. 397-398
• Idioma: inglés
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• Resumen

  • 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.