Low-Rank Tensor Structure of Solutions to Elliptic Problems with Jumping Coefficients

Low-Rank Tensor Structure of Solutions to Elliptic Problems with Jumping Coefficients

Year:    2012

Journal of Computational Mathematics, Vol. 30 (2012), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1110-m11si08

Journal of Computational Mathematics, Vol. 30 (2012), Iss. 1 : pp. 14–23

Published online:    2012-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Structured matrices Elliptic operators Poisson equation Matrix approximations Low-rank matrices Tensors Canonical decomposition.