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

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...

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Bibliographic Details
Published in:International journal for numerical methods in engineering 2017-07, Vol.111 (1), p.69-87
Main Authors: Parret‐Fréaud, A., Rey, V., Gosselet, P., Rey, C.
Format: Article
Language:English
Subjects:
Buildings
Construction
Discretization
Domain decomposition methods
Error analysis
FETI‐DP
Finite element method
heterogeneity
Mathematical analysis
Mechanics
multiple points
Physics
Recovery
Stresses
Structural mechanics
Tearing
verification
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Summary: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.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.5462