An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation

Y Chen, S Gottlieb, L Ji, Y Maday - Journal of Computational Physics, 2021 - Elsevier
The need for multiple interactive, real-time simulations using different parameter values has
driven the design of fast numerical algorithms with certifiable accuracies. The reduced basis …

Multi‐fidelity error estimation accelerates greedy model reduction of complex dynamical systems

L Feng, L Lombardi, G Antonini… - International Journal for …, 2023 - Wiley Online Library
Abstract Model order reduction usually consists of two stages: the offline stage and the
online stage. The offline stage is the expensive part that sometimes takes hours till the final …

Adaptive basis construction and improved error estimation for parametric nonlinear dynamical systems

S Chellappa, L Feng, P Benner - International Journal for …, 2020 - Wiley Online Library
An adaptive scheme to generate reduced‐order models for parametric nonlinear dynamical
systems is proposed. It aims to automatize the proper orthogonal decomposition (POD) …

A training set subsampling strategy for the reduced basis method

S Chellappa, L Feng, P Benner - Journal of Scientific Computing, 2021 - Springer
We present a subsampling strategy for the offline stage of the Reduced Basis Method. The
approach is aimed at bringing down the considerable offline costs associated with using a …

Accelerated construction of projection-based reduced-order models via incremental approaches

E Agouzal, T Taddei - Advanced Modeling and Simulation in Engineering …, 2024 - Springer
We present an accelerated greedy strategy for training of projection-based reduced-order
models for parametric steady and unsteady partial differential equations. Our approach …

L1-based reduced over collocation and hyper reduction for steady state and time-dependent nonlinear equations

Y Chen, L Ji, A Narayan, Z Xu - Journal of Scientific Computing, 2021 - Springer
The task of repeatedly solving parametrized partial differential equations (pPDEs) in
optimization, control, or interactive applications makes it imperative to design highly efficient …

Adaptive greedy algorithms based on parameter‐domain decomposition and reconstruction for the reduced basis method

J Jiang, Y Chen - … Journal for Numerical Methods in Engineering, 2020 - Wiley Online Library
The reduced basis method (RBM) empowers repeated and rapid evaluation of parametrized
partial differential equations through an offline–online decomposition, aka a learning …

Robust linear domain decomposition schemes for reduced nonlinear fracture flow models

E Ahmed, A Fumagalli, A Budisa, E Keilegavlen… - SIAM Journal on …, 2021 - SIAM
In this work, we consider compressible single-phase flow problems in a porous medium
containing a fracture. In the fracture, a nonlinear pressure-velocity relation is prescribed …

A hyper-reduced MAC scheme for the parametric Stokes and Navier-Stokes equations

Y Chen, L Ji, Z Wang - Journal of Computational Physics, 2022 - Elsevier
The need for accelerating the repeated solving of certain parametrized systems motivates
the development of more efficient reduced order methods. The classical reduced basis …

A modelling framework for efficient reduced order simulations of parametrised lithium-ion battery cells

M Landstorfer, M Ohlberger, S Rave… - European Journal of …, 2023 - cambridge.org
In this contribution, we present a modelling and simulation framework for parametrised
lithium-ion battery cells. We first derive a continuum model for a rather general intercalation …