@Article{JCM-30-14, author = {Sergey Dolgov, Boris N. Khoromskij, Ivan Oseledets and Eugene E. Tyrtyshnikov}, title = {Low-Rank Tensor Structure of Solutions to Elliptic Problems with Jumping Coefficients}, journal = {Journal of Computational Mathematics}, year = {2012}, volume = {30}, number = {1}, pages = {14--23}, abstract = {

We study the separability properties of solutions to elliptic equations with piecewise constant coefficients in $\mathbb{R}^d, d \ge 2$. The separation rank of the solution to diffusion equation with variable coefficients is presented.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1110-m11si08}, url = {http://global-sci.org/intro/article_detail/jcm/8413.html} }