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

Augustin Parret-Fréaud (1) , Valentine Rey (2) , Pierre Gosselet (2) , Christian Rey (1)

1 Safran Tech
2 LMT - Laboratoire de Mécanique et Technologie

This paper investigates the question of the building of admissible stress field in a substruc-tured context. More precisely we analyze the special role played by multiple points. This study leads to (1) an improved recovery of the stress field, (2) an opportunity to minimize the estimator in the case of heterogeneous structures (in the parallel and sequential case), (3) a procedure to build admissible fields for FETI-DP and BDDC methods leading to an error bound which separates the contributions of the solver and of the discretization.

Mots clés: Heterogeneity; Domain decomposition methods; Verification; Multiple points; FETI-DP

Domaines: Mécanique des structures [physics.class-ph]

Augustin Parret-Fréaud, Valentine Rey, Pierre Gosselet, Christian Rey. Improved recovery of admissible stress in domain decomposition methods — application to heterogeneous structures and new error bounds for FETI-DP. International Journal for Numerical Methods in Engineering, 2017, 111 (1), pp.69-87. ⟨10.1002/nme.5462⟩. ⟨hal-01363258⟩