A QTT-based solver with Helmholtz-Leray penalization in Fourier space stably computes solutions and gradients for multiscale elliptic PDEs on meshes with up to 10^37 virtual degrees of freedom in 3D.
Hackbusch.Tensor Spaces and Numerical Tensor Calculus, volume 42 ofSpringer Series in Computational Mathematics
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Stable full-field simulation of a multiscale elliptic equation by means of Quantized Tensor Trains
A QTT-based solver with Helmholtz-Leray penalization in Fourier space stably computes solutions and gradients for multiscale elliptic PDEs on meshes with up to 10^37 virtual degrees of freedom in 3D.