SciELO - Scientific Electronic Library Online

vol.50 número4On the frequency of auroras over GermanyA geophysical characterization of monogenetic volcanism índice de autoresíndice de assuntospesquisa de artigos
Home Pagelista alfabética de periódicos  

Serviços Personalizados




Links relacionados

  • Não possue artigos similaresSimilares em SciELO


Geofísica internacional

versão impressa ISSN 0016-7169


HERRERA, Ismael; CARRILLO-LEDESMA, Antonio  e  ROSAS-MEDINA, Alberto. A brief overview of non-overlapping domain decomposition methods. Geofís. Intl [online]. 2011, vol.50, n.4, pp.445-463. ISSN 0016-7169.

An overview of non-overlapping domain decomposition methods is presented. The most efficient methods that exist at present, BDDC and FETI-DP, are placed in a 'primal' framework (the 'derived-vectors space (DVS)') which permits a synthetic and effective presentation of both: primal and 'dual' formulations. The derived-vectors space is similar to the setting used in BDDC. A significant difference is that, in the DVS framework, the problem considered is transformed into one that is defined in a product vector space while in BDDC that is not done. This simplifies the algorithmic formulations, which are summarized in a set of matrix-formulas applicable to symmetric, non-symmetric and indefinite matrices generated when treating numerically partial differential equations or systems of such equations. They can directly be used for code development. Two preconditioned algorithms of the mentioned set had not been reported previously in the DDM literature, as far as we know, and are suitable for being researched.

Palavras-chave : iterative substructuring; non-overlapping domain decomposition; BDD; BDDC; FETI; FETI-DP; preconditioned; product space; Lagrange multipliers.

        · resumo em Espanhol     · texto em Inglês     · Inglês ( pdf )


Creative Commons License Todo o conteúdo deste periódico, exceto onde está identificado, está licenciado sob uma Licença Creative Commons