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 Rd,d≥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.
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Low-Rank Tensor Methods with Subspace Correction for Symmetric Eigenvalue Problems
Kressner, Daniel
Steinlechner, Michael
Uschmajew, André
SIAM Journal on Scientific Computing, Vol. 36 (2014), Iss. 5 P.A2346
https://doi.org/10.1137/130949919 [Citations: 42]