In this paper QTT-approximations to elliptic solution operators with constant coefficients in d-dimensional cube are constructed. The ε-accurate representations of the Frobenius norm can be computed with the complexity O(d logqε–1), where d ⩾ 2 is the spatial dimension, and q ⩾ 2 is some fixed constant.
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Khoromskij et al. (2011) studied this question.