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This paper investigates the question of the building of admissible stressfield in a substructured context. More precisely we analyze the special roleplayed by multiple points. This study leads to (1) an improved recovery of thestress field, (2) an opportunity to minimize the estimator in the case ofheterogeneous structures (in the parallel and sequential case), (3) a procedureto build admissible fields for FETI-DP and BDDC methods leading to an errorbound which separates the contributions of the solver and of thediscretization.

Improved recovery of admissible stress in domain decomposition methods - application to heterogeneous structures and new error bounds for FETI-DP