Improved recovery of admissible stress in domain decomposition methods - application to heterogeneous structures and new error bounds for FETI-DP
For researchers in computational mechanics, this work provides incremental improvements to stress recovery and error estimation in domain decomposition methods.
This paper improves the recovery of admissible stress fields in domain decomposition methods, focusing on the role of multiple points. It achieves better error bounds for FETI-DP and BDDC methods, enabling separation of solver and discretization errors.
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), (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.