Blending verification in domain decomposition methods to achieve high quality simulations without over-solving
Résumé
This paper investigates the possibility to estimate the discretization error of large finite element problems solved by BDD or FETI domain decomposition methods. We show that a simple processing of the fields available during the iterations enables us to compute strict error bounds where we tell the difference between the effects of the FE discretization and the effects of the interface incompatibility. We then can stop iterations when the former prevail over the later and trigger mesh adaptation procedures.
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