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- W2566204901 abstract "A concurrent multiscale (CM) approach based on multigrid ideas has been developed in [4] for bridging diverse spatial and temporal scales. The method consists of the waveform relaxation scheme aimed at capturing the high frequency response of the atomistic vibrations and the coarse scale solution in space and time intended to resolve the smooth features of the discrete medium. The CM approach developed has been found to provide significant speedup over classical explicit integrators used in molecular dynamics simulations in particular on parallel machines. A synthesis of the Generalized Mathematical Homogenization and Partition of Unity methods has been developed in [Error! Bookmark not defined.] [7]. The so-called MEPU or Multiscale Enrichment based on Partition of Unity is developed for enriching the coarse scale continuum descriptions or coarse-grained discrete formulations. It is primarily intended to extend the range of applicability of the mathematical homogenization theory to problems where scale separation may not be valid." @default.
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- W2566204901 date "2005-01-01" @default.
- W2566204901 modified "2023-09-23" @default.
- W2566204901 title "NANO HIGHLIGHT Modeling and Simulation Framework at the Nanoscale" @default.
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