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Improved recovery of admissible stress in domain decomposition methods — application to heterogeneous structures and new error bounds for FETI‐DP
Author(s) -
ParretFréaud A.,
Rey V.,
Gosselet P.,
Rey C.
Publication year - 2017
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.5462
Subject(s) - mortar methods , domain decomposition methods , feti , solver , tearing , discretization , estimator , finite element method , context (archaeology) , domain (mathematical analysis) , mathematical optimization , decomposition , mathematics , field (mathematics) , computer science , stress field , stress (linguistics) , mathematical analysis , structural engineering , engineering , pure mathematics , mechanical engineering , paleontology , statistics , ecology , linguistics , philosophy , biology
Summary This paper investigates the question of the building of admissible stress field in a substructured 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), and (3) a procedure to build admissible fields for dual‐primal finite element tearing and interconnecting and balancing domain decomposition by constraints methods leading to an error bound that separates the contributions of the solver and of the discretization. Copyright © 2016 John Wiley & Sons, Ltd.