F.E.M

F.E.M. implementation for the asymptotic partial decomposition. We consider a Finite Element Method (F.E.M.) implementation for the asymptotic partial decomposition. The advantage of this approach is an important reduction of the number of nodes. The convergence is proved for some model problems. Finally the relation with the “mixed formulation” is discussed

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References in zbMATH (referenced in 5 articles , 1 standard article )

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  1. Panasenko, G.; Viallon, M.-C.: Finite volume implementation of the method of asymptotic partial domain decomposition for the heat equation on a thin structure (2015)
  2. Viallon, Marie-Claude: Error estimate for a finite volume scheme in a geometrical multi-scale domain (2015)
  3. Rabinovich, Daniel; Ofir, Yoav; Givoli, Dan: The Nitsche method applied to a class of mixed-dimensional coupling problems (2014)
  4. Panasenko, Grigory; Viallon, Marie-Claude: Error estimate in a finite volume approximation of the partial asymptotic domain decomposition (2013)
  5. Fontvieille, F.; Panasenko, G. P.; Pousin, J.: F.E.M. implementation for the asymptotic partial decomposition (2007)