A Mathematical Characterization of the Performance of the "Multi-Slice" Projector
Numerical Analysis
2018-05-11 v1
Abstract
We consider an enhanced version of the well-kwown "Petrov-Galerkin" projection in Hilbert spaces. The proposed procedure, dubbed "multi-slice" projector, exploits the fact that the sought solution belongs to the intersection of several high-dimensional slices. This setup is for example of interest in model-order reduction where this type of prior may be computed off-line. In this note, we provide a mathematical characterization of the performance achievable by the multi-slice projector and compare the latter with the results holding in the Petrov-Galerkin setup. In particular, we illustrate the superiority of the multi-slice approach in certain situations.
Keywords
Cite
@article{arxiv.1805.03910,
title = {A Mathematical Characterization of the Performance of the "Multi-Slice" Projector},
author = {C. Herzet and M. Diallo and P. Héas},
journal= {arXiv preprint arXiv:1805.03910},
year = {2018}
}