Ponencia
A domain decomposition method derived from the Primal Hybrid Formulations for 2nd order elliptic problems
Autor/es | Bernardi, Christine
Chacón Rebollo, Tomás Chacón Vera, Eliseo |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2007-09 |
Fecha de depósito | 2016-02-04 |
Publicado en |
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Resumen | We consider the primal hybrid formulation for second order elliptic problems introduced by Raviart-Thomas and apply the classical iterative method of Uzawa to obtain a non overlapping domain decomposition method that ... We consider the primal hybrid formulation for second order elliptic problems introduced by Raviart-Thomas and apply the classical iterative method of Uzawa to obtain a non overlapping domain decomposition method that converges geometrically with a mesh independent ratio. The proposed method connects with the Finite Element Tearing and Interconnecting (FETI) method proposed by Farhat-Roux and collaborators. In this research work we use the detailed work on domains with corners developed by Grisvard [6], which clarifies the situation of cross-points, and the direct computation of the duality H−1/2 − H1/2 using the H1/2 scalar product; therefore no consistency error appears. |
Cita | Bernardi, C., Chacón Rebollo, T. y Chacón Vera, E. (2007). A domain decomposition method derived from the Primal Hybrid Formulations for 2nd order elliptic problems. |
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Domain decomposition method.pdf | 343.9Kb | [PDF] | Ver/ | |