26 citations · 64 across the 4 of their papers we have counts for
5 papers
Improved recovery of admissible stress in domain decomposition methods - application to heterogeneous structures and new error bounds for FETI-DP
Augustin Parret-Fréaud, Valentine Rey, Pierre Gosselet +1
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. Th…
Strict lower bounds with separation of sources of error in non-overlapping domain decomposition methods
Valentine Rey, Pierre Gosselet, Christian Rey
This article deals with the computation of guaranteed lower bounds of the error in the framework of finite element (FE) and domain decomposition (DD) methods. In addition to a full…
Strict bounding of quantities of interest in computations based on domain decomposition
Valentine Rey, Pierre Gosselet, Christian Rey
This paper deals with bounding the error on the estimation of quantities of interest obtained by finite element and domain decomposition methods. The proposed bounds are written in…
A strict error bound with separated contributions of the discretization and of the iterative solver in non-overlapping domain decomposition methods
Valentine Rey, Christian Rey, Pierre Gosselet
This paper deals with the estimation of the distance between the solution of a static linear mechanic problem and its approximation by the finite element method solved with a non-o…
Study of the strong prolongation equation for the construction of statically admissible stress fields: implementation and optimization
Valentine Rey, Pierre Gosselet, Christian Rey
This paper focuses on the construction of statically admissible stress fields (SA-fields) for a posteriori error estimation. In the context of verification, the recovery of such fi…