This works aims to investigate the applicability of residual-based error estimators to two variants of the Finite Element Method: the multi-level Finite Element Method and the Finite Cell's Method (FCM). The study is performed both theoretically and numerically, showing excellent results for the Multi-Level Finite Element Method in the context of Poisson's and linear elastic problems. Furthermore, the analysis carried out in the context of the FCM furnishes a starting point for further developments and investigations on how to estimate the error in case of a non-conforming discretization.     «

This works aims to investigate the applicability of residual-based error estimators to two variants of the Finite Element Method: the multi-level Finite Element Method and the Finite Cell's Method (FCM). The study is performed both theoretically and numerically, showing excellent results for the Multi-Level Finite Element Method in the context of Poisson's and linear elastic problems. Furthermore, the analysis carried out in the context of the FCM furnishes a starting point for further developme...     »