A QTT-based solver for multiscale elliptic equations achieves full-field solutions and gradients on meshes up to 10^37 DoFs in 3D via a penalized Helmholtz-Leray formulation solved in Fourier space, with claimed unconditional stability.
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Stable full-field simulation of a multiscale elliptic equation by means of Quantized Tensor Trains
A QTT-based solver for multiscale elliptic equations achieves full-field solutions and gradients on meshes up to 10^37 DoFs in 3D via a penalized Helmholtz-Leray formulation solved in Fourier space, with claimed unconditional stability.