A posteriori estimate and asymptotic partial domain decomposition

References

• Panasenko , GP . 2005 . Multi-scale Modelling for Structures and Composites , the Netherlands : Springer .
   Google Scholar
• Leiva , J , Blanco , P and Buscaglia , G . 2009 . Iterative strong coupling of dimensionally heterogeneous models . Int. J. Numer. Methods Eng. , 81 : 1558 – 1580 .
   Web of Science ®Google Scholar
• Blanco , P , Leiva , J , Feijóo , R and Buscaglia , G . 2010 . Black-box decomposition approach for computational hemodynamics: One-dimensional models . Comput. Methods. Appl. Mech. Eng. , 200 : 1389 – 1405 .
   Web of Science ®Google Scholar
• Leiva , J , Blanco , P and Buscaglia , G . 2011 . Partitioned analysis for dimensionally-heterogeneous hydraulic networks . SIAM Multiscale Model. Simul. , 9 : 872 – 903 .
   Web of Science ®Google Scholar
• Panasenko , GP . 1998 . Method of asymptotic partial decomposition of a domain . Math. Models Methods Appl. Sci. , 8 ( 1 ) : 139 – 156 .
   Web of Science ®Google Scholar
• Quarteroni , A and Veneziani , A . 2003 . Analysis of a geometrical multiscale model based on the coupling of PDE's and ODE's for blood flow simulations . SIAM J. MMS. , 1 ( 2 ) : 173 – 195 .
   Google Scholar
• Fontvielle , F , Panassenko , G and Pousin , J . 2007 . F.E.M. implementation for the asymptotic partial decomposition . Appl. Anal. , 86 ( 5 ) : 519 – 536 .
   Web of Science ®Google Scholar
• Becker , R and Rannacher , R . 2001 . An optimal control approach to a posteriori error estimation in finite element methods , 1 – 102 . Great Britain : Acta Numerica, Cambridge, University Press .
   Google Scholar
• Buscaglia , G , Feijóo , R and Padra , C . 1995 . A posteriori error estimation in sensitivity analysis . Struct. Multidisciplinary Optimi. , 9 : 194 – 199 .
   Web of Science ®Google Scholar
• Panasenko , GP . 1999 . Asymptotic partial decomposition of variational problem . C. R. Acad. Sci. Paris. , Série IIb 327 : 1185 – 1190 .
   Google Scholar
• Guermont , JL and Ern , A . 2000 . Elément Finis:Théorie, Applications, Mise en Oeuvre , Berlin, Allemagne : Springer .
   Google Scholar
• Fontvielle , F . 2004 . Décomposition asymptotique et éléments finis, Thesis , Lyon France : INSA de Lyon .
   Google Scholar