Stability of Low-Rank Tensor Representations and Structured Multilevel Preconditioning for Elliptic PDEs

25 Feb 2018 Markus Bachmayr Vladimir Kazeev

Folding grid value vectors of size $2^L$ into $L$th order tensors of mode sizes $2\times \cdots\times 2$, combined with low-rank representation in the tensor train format, has been shown to lead to highly efficient approximations for various classes of functions. These include solutions of elliptic PDEs on nonsmooth domains or with oscillatory data... (read more)

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