Title
Hierarchical Model Reduction Techniques For Flow Modeling In A Parametrized Setting
Abstract
In this work we focus on two different methods to deal with parametrized partial differential equations in an efficient and accurate way. Starting from high fidelity approximations built via the hierarchical model reduction discretization, we consider two approaches, both based on a projection model reduction technique. The two methods differ for the algorithm employed during the construction of the reduced basis. In particular, the former employs the proper orthogonal decomposition, while the latter relies on a greedy algorithm according to the certified reduced basis technique. The two approaches are preliminarily compared on two-dimensional scalar and vector test cases.
Year
DOI
Venue
2021
10.1137/19M1285330
MULTISCALE MODELING & SIMULATION
Keywords
DocType
Volume
hierarchical model reduction, projection-based reduced order modeling, proper orthogonal decomposition, reduced basis method, parametrized problems
Journal
19
Issue
ISSN
Citations 
1
1540-3459
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Zancanaro Matteo100.34
Francesco Ballarin2164.39
Perotto Simona300.34
Gianluigi Rozza415024.47