The paper introduces a higher-order multiscale (HOMS) method that derives macroscopic homogenized equations from microscopic unit cells, establishes convergence rates, and demonstrates a stable numerical algorithm combining FEM, FDM, and interpolation for multi-continuum problems.
Second-ordertwo-scalecom- putationalmethodfordampeddynamicthermo-mechanicalproblems of quasi-periodic composite materials,
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Higher-Order Multiscale Computational Method for Multi-Continuum Problems in Highly Heterogeneous Media
The paper introduces a higher-order multiscale (HOMS) method that derives macroscopic homogenized equations from microscopic unit cells, establishes convergence rates, and demonstrates a stable numerical algorithm combining FEM, FDM, and interpolation for multi-continuum problems.