A purely algebraic multiscale method constructs basis functions for heterogeneous spatial networks and uses subgraph Poincaré estimates with oversampling to obtain O(C_po) convergence independent of heterogeneity contrast.
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A multiscale method for Maxwell equations in high-contrast media achieves O(H) convergence independent of contrast by using an auxiliary spectral space that guarantees coercivity without divergence-free enforcement.
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Efficient Multiscale Methods for Highly Heterogeneous Spatial Network Models
A purely algebraic multiscale method constructs basis functions for heterogeneous spatial networks and uses subgraph Poincaré estimates with oversampling to obtain O(C_po) convergence independent of heterogeneity contrast.
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Multiscale Modeling for Time-harmonic Maxwell equations with impedance boundary conditions in highly heterogeneous media
A multiscale method for Maxwell equations in high-contrast media achieves O(H) convergence independent of contrast by using an auxiliary spectral space that guarantees coercivity without divergence-free enforcement.