Spectral multiscale basis functions built from local anisotropic Laplacians give accurate coarse models and O(1) two-grid convergence for heat flow with anisotropy up to 10^12.
A convergence analysis of generalized multiscale finite element methods
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Multiscale approximation and two-grid preconditioner for extremely anisotropic heat flow
Spectral multiscale basis functions built from local anisotropic Laplacians give accurate coarse models and O(1) two-grid convergence for heat flow with anisotropy up to 10^12.