TY - JOUR
T1 - Low-Rank Tensor Structure of Solutions to Elliptic Problems with Jumping Coefficients
AU - Sergey Dolgov, Boris N. Khoromskij, Ivan Oseledets & Eugene E. Tyrtyshnikov
JO - Journal of Computational Mathematics
VL - 1
SP - 14
EP - 23
PY - 2012
DA - 2012/02
SN - 30
DO - http://doi.org/10.4208/jcm.1110-m11si08
UR - https://global-sci.org/intro/article_detail/jcm/8413.html
KW - Structured matrices, Elliptic operators, Poisson equation, Matrix approximations, Low-rank matrices, Tensors, Canonical decomposition.
AB - <p style="text-align: justify;">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.</p>