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math.NA2016
Estimates for the upscaling error in heterogeneous multiscale methods for wave propagation problems in locally periodic media
Doghonay Arjmand, Olof Runborg
This paper concerns the analysis of a multiscale method for wave propagation problems in microscopically nonhomogeneous media. A direct numerical approximation of such problems is…
math.NA2016
Temporal upscaling in micro magnetism via heterogeneous multiscale methods
Doghonay Arjmand, Stefan Engblom, Gunilla Kreiss
We consider a multiscale strategy addressing the disparate scales in the Landau-Lifschitz equations in micro-magnetism. At the microscopic scale, the dynamics of magnetic moments a…