LOW-RANK TENSOR STRUCTURE OF SOLUTIONS TO ELLIPTIC PROBLEMS WITH JUMPING COEFFICIENTS  

作　　者：Sergey Dolgov Boris N.Khoromskij Ivan Oseledets Eugene E.Tyrtyshnikov 

机构地区：[1]Moscow Institute of Physics and Technology,Russia [2]Max-Planck-Institute for Mathematics in Sciences,Inselstr.22-26,D-04103 Leipzig,Germany [3]Institute of Numerical Mathematics,Russian Academy of Sciences,Gubkina 8,119991 Moscow,Russia [4]Lomonosov Moscow State University,Russia University of Siedlce,Poland(visiting professor)

出　　处：《Journal of Computational Mathematics》2012年第1期14-23,共10页计算数学（英文）

摘　　要：We study the separability properties of solutions to elliptic equations with piecewise constant coefficients in Rd, d ≥ 2. The separation rank of the solution to diffusion equation with variable coefficients is presented.We study the separability properties of solutions to elliptic equations with piecewise constant coefficients in Rd, d ≥ 2. The separation rank of the solution to diffusion equation with variable coefficients is presented.

关 键 词：Structured matrices Elliptic operators Poisson equation Matrix approxima-tions Lowrank matrices TENSORS Canonical decomposition. 

分 类 号：O241.82[理学—计算数学] O186.14[理学—数学]