In this paper QTT-approximations to elliptic solution operators with constant coefficients in d-dimensional cube are constructed. The ?-accurate representations of the Frobenius norm can be computed with the complexity O(d logq ?1), where d ≥ 2 is the spatial dimension, and q ≥ 2 is some fixed constant.
|Number of pages||20|
|Journal||Russian Journal of Numerical Analysis and Mathematical Modelling|
|Publication status||Published - Jun 2011|