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Error analysis of free probability approximations to the density of states of disordered systems
Massachusetts Institute of Technology
2012/2/29
Theoretical studies of localization, anomalous diffusion and ergodicity breaking require solving the electronic structure of disordered systems. We use free probability to approximate the ensemble- av...
OPTIMAL ERROR ESTIMATES OF THE PARTITION OF UNITY METHOD WITH LOCALPOLYNOMIAL APPROXIMATION SPACES
2007/12/12
In this paper, we provide a theoretical analysis of the partition of
unity finite element method(PUFEM), which belongs to the family of
meshfree methods. The usual error analysis only shows the orde...