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Enhancements of the G-Scheme Framework
Authors:Mauro Valorani  Pietro Paolo Ciottoli  Riccardo Malpica Galassi  Samuel Paolucci  Temistocle Grenga  Emanuele Martelli
Institution:1.Sapienza University of Rome,Rome,Italy;2.University of Notre Dame,Notre Dame,USA;3.Princeton University,Princeton,USA;4.Campania University “L. Vanvitelli”,Aversa,Italy
Abstract:The G-Scheme is a well established framework for multi-scale adaptive model reduction, whose effectiveness was demonstrated with reference to a number of test models, together with an identification of the critical areas that were in need of further theoretical and computational refinement. In this communication, we report on how we enhanced the solver performance. Two new features involving (i) the criteria to identify the fast and slow subspace dimensions, and (ii) a criterion to decide if and when the reuse of the CSP Basis is feasible without deteriorating the overall performance of the solver, have been proved able to increase significantly the computational efficiency of the solver without sacrificing its accuracy.
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