Model order reduction: POD, PGD and reduced bases

Space–time POD based computational vademecums for parametric studies: application to thermo-mechanical problems

Standard numerical simulations for optimization or inverse identification of welding processes remain costly and difficult due to their multi-parametric aspect and inherent complexity. The aim of this paper is...

Authors: Y. Lu, N. Blal and A. Gravouil

Erratum to: Identification of nonlinear behavior with clustering techniques in car crash simulations for better model reduction

Authors: Dennis Grunert and Jörg Fehr

Displacement-based multiscale modeling of fiber-reinforced composites by means of proper orthogonal decomposition

Many applications are based on the use of materials with heterogeneous microstructure. Prominent examples are fiber-reinforced composites, multi-phase steels or soft tissue to name only a few. The modeling of ...

Authors: Annika Radermacher, Brett A. Bednarcyk, Bertram Stier, Jaan Simon, Lei Zhou and Stefanie Reese

Isogeometric analysis-based reduced order modelling for incompressible linear viscous flows in parametrized shapes

In this work we provide a combination of isogeometric analysis with reduced order modelling techniques, based on proper orthogonal decomposition, to guarantee computational reduction for the numerical model, a...

Authors: Filippo Salmoiraghi, Francesco Ballarin, Luca Heltai and Gianluigi Rozza

Identification of nonlinear behavior with clustering techniques in car crash simulations for better model reduction

Car crash simulations need a lot of computation time. Model reduction can be applied in order to gain time-savings. Due to the highly nonlinear nature of a crash, an automatic separation in parts behaving line...

Authors: Dennis Grunert and Jörg Fehr

Hyper-reduction framework for model calibration in plasticity-induced fatigue

Many mechanical experiments in plasticity-induced fatigue are prepared by the recourse to finite element simulations. Usual simulation outputs, like local stress estimations or lifetime predictions, are useful...

Authors: David Ryckelynck and Djamel Missoum Benziane

Transient simulation of an electrical rotating machine achieved through model order reduction

Model order reduction (MOR) methods are more and more applied on many different fields of physics in order to reduce the number of unknowns and thus the computational time of large-scale systems. However, thei...

Authors: Laurent Montier, Thomas Henneron, Stéphane Clénet and Benjamin Goursaud

Dynamic data-driven model reduction: adapting reduced models from incomplete data

This work presents a data-driven online adaptive model reduction approach for systems that undergo dynamic changes. Classical model reduction constructs a reduced model of a large-scale system in an offline ph...

Authors: Benjamin Peherstorfer and Karen Willcox

Efficient solvers for time-dependent problems: a review of IMEX, LATIN, PARAEXP and PARAREAL algorithms for heat-type problems with potential use of approximate exponential integrators and reduced-order models

In this paper, we introduce and comment some recent efficient solvers for time dependent partial differential or ordinary differential problems, considering both linear and nonlinear cases. Here “efficient” ma...

Authors: Florian De Vuyst

Recursive POD expansion for reaction-diffusion equation

This paper focuses on the low-dimensional representation of multivariate functions. We study a recursive POD representation, based upon the use of the power iterate algorithm to recursively expand the modes re...

Authors: M. Azaïez, F. Ben Belgacem and T. Chacón Rebollo

General treatment of essential boundary conditions in reduced order models for non-linear problems

Inhomogeneous essential boundary conditions must be carefully treated in the formulation of Reduced Order Models (ROMs) for non-linear problems. In order to investigate this issue, two methods are analysed: on...

Authors: Alejandro Cosimo, Alberto Cardona and Sergio Idelsohn

PEBL-ROM: Projection-error based local reduced-order models

Projection-based model order reduction (MOR) using local subspaces is becoming an increasingly important topic in the context of the fast simulation of complex nonlinear models. Most approaches rely on multipl...

Authors: David Amsallem and Bernard Haasdonk

A hybrid RNN-GPOD surrogate model for real-time settlement predictions in mechanised tunnelling

Realistic 3D simulations of the tunnelling process are increasingly required to investigate the interactions between machine-driven tunnel construction and the surrounding soil in order to provide reliable est...

Authors: Ba-Trung Cao, Steffen Freitag and Günther Meschke

Robust model reduction by \(L^{1}\)-norm minimization and approximation via dictionaries: application to nonlinear hyperbolic problems

We propose a novel model reduction approach for the approximation of non linear hyperbolic equations in the scalar and the system cases. The approach relies on an offline computation of a dictionary of solutio...

Authors: Rémi Abgrall, David Amsallem and Roxana Crisovan