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An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation
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 …
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
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 …
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
An adaptive scheme to generate reduced‐order models for parametric nonlinear dynamical
systems is proposed. It aims to automatize the proper orthogonal decomposition (POD) …
systems is proposed. It aims to automatize the proper orthogonal decomposition (POD) …
A training set subsampling strategy for the reduced basis method
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 …
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
We present an accelerated greedy strategy for training of projection-based reduced-order
models for parametric steady and unsteady partial differential equations. Our approach …
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
The task of repeatedly solving parametrized partial differential equations (pPDEs) in
optimization, control, or interactive applications makes it imperative to design highly efficient …
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
The reduced basis method (RBM) empowers repeated and rapid evaluation of parametrized
partial differential equations through an offline–online decomposition, aka a learning …
partial differential equations through an offline–online decomposition, aka a learning …
Robust linear domain decomposition schemes for reduced nonlinear fracture flow models
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 …
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
The need for accelerating the repeated solving of certain parametrized systems motivates
the development of more efficient reduced order methods. The classical reduced basis …
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
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 …
lithium-ion battery cells. We first derive a continuum model for a rather general intercalation …