Model reduction by separation of variables: a comparison between Hierarchical Model reduction and Proper Generalized Decomposition
Numerical Analysis
2023-08-08 v1
Abstract
Hierarchical Model reduction and Proper Generalized Decomposition both exploit separation of variables to perform a model reduction. After setting the basics, we exemplify these techniques on some standard elliptic problems to highlight pros and cons of the two procedures, both from a methodological and a numerical viewpoint.
Keywords
Cite
@article{arxiv.1811.11486,
title = {Model reduction by separation of variables: a comparison between Hierarchical Model reduction and Proper Generalized Decomposition},
author = {Simona Perotto and Michele Giuliano Carlino and Francesco Ballarin},
journal= {arXiv preprint arXiv:1811.11486},
year = {2023}
}