Data-driven dimension reduction extracts a low-dimensional basis from sampled Green's functions to solve new multiscale elliptic PDEs with random coefficients efficiently.
Sirovich , Turbulence and the dynamics of coherent structures
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A data-driven approach for multiscale elliptic PDEs with random coefficients based on intrinsic dimension reduction
Data-driven dimension reduction extracts a low-dimensional basis from sampled Green's functions to solve new multiscale elliptic PDEs with random coefficients efficiently.