Research Communication | Open Access
Volume 2021 | Communication ID 287
Volume 2021 | Communication ID 287
| Proper Generalized Decomposition for Nonlinear Convex Problems |
Chakib Chahbi, Abdallah El Hamidi, Chakib Abchir
Received |
Accepted |
Published |
February 04, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: Tensor-based methods are receiving a growing interest in scientific computing for the numerical solution of problems defined in high dimensional tensor product spaces. A family of methods called Proper Generalize Decompositions methods have been recently introduced for the a priori construction of tensor approximations of the solution of such problems. In this paper, we give a mathematical analysis of a family of progressive and updated Proper Generalized Decompositions for a particular class of problems associated with the minimization of a convex functional over a reflexive tensor Banach ...