Model Boundary Approximation Method as a Unifying Framework for Balanced Truncation and Singular Perturbation Approximation
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2019.2908523
Abstract: We show that two widely accepted model reduction techniques, balanced truncation (BT) and balanced singular perturbation approximation (BSPA), can be derived as limiting approximations of a carefully constructed parameterization of linear time invariant systems by… read more here.
Keywords: singular perturbation; approximation; model boundary; model ... See more keywords
An effective model for boundary vortices in thin-film micromagnetics
Sign Up to like & getrecommendations! Published in 2022 at "Mathematical Models and Methods in Applied Sciences"
DOI: 10.1142/s021820252350046x
Abstract: Ferromagnetic materials are governed by a variational principle which is nonlocal, nonconvex and multiscale. The main object is given by a unit-length three-dimensional vector field, the magnetization, that corresponds to the stable states of the… read more here.
Keywords: effective model; energy; model boundary; thin film ... See more keywords