Numerical strategies for the Galerkin-proper generalized decomposition method

作者：Falco A^*; Hilario L; Montes N; Mora M C

来源：Mathematical and Computer Modelling, 2013, 57(7-8): 1694-1702.

DOI：10.1016/j.mcm.2011.11.012

• Numerical tensor calculus
• Tensor Banach space
• Proper generalized decomposition
• Laplacian-like matrix

The Proper Generalized Decomposition or, for short, PGD is a tensor decomposition based technique to solve PDE problems. It reduces calculation and storage cost drastically and presents some similarities with the Proper Orthogonal Decomposition, for short POD. In this work, we propose an efficient implementation to improve the convergence of the PGD, toward the numerical solution of a discretized PDE problem, when the associated matrix is Laplacian-like.

• 出版日期2013-4