A numerical study of different projection-based model reduction techniques applied to computational homogenisation
type: Item
instance of: scholarly article
title: A numerical study of different projection-based model reduction techniques applied to computational homogenisation
zbMATH Open document ID: 1386.74142
author: Dominic Soldner
author: Benjamin Brands
author: Reza Zabihyan
author: Julia Mergheim
author: Paul Steinmann
published in: Computational Mechanics
publication date: 2018-02-15T00:00:00Z
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 74Q05
zbMATH DE Number: 6839319
zbMATH Keywords: computational homogenisation
zbMATH Keywords: hyper-reduction
zbMATH Keywords: reduced-order modelling
zbMATH Keywords: hyperelasticity
describes a project that uses: redbKIT
MaRDI profile type: Publication
full work available at URL: s00466-017-1428-x
OpenAlex ID: W2623406726
Wikidata QID: Q59527769
cites work: An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
cites work: A survey of projection-based model reduction methods for parametric dynamical systems
cites work: Reduced-Basis Approach for Homogenization beyond the Periodic Setting
cites work: Reduced‐order modelling for linear heat conduction with parametrised moving heat sources
cites work: Efficient non linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
cites work: The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
cites work: Nonlinear Model Reduction via Discrete Empirical Interpolation
cites work: An overview of the proper generalized decomposition with applications in computational rheology
cites work: Improving the \( k\)-\textit{compressibility} of hyper reduced order models with moving sources: applications to welding and phase change problems
cites work: A PGD-based homogenization technique for the resolution of nonlinear multiscale problems
cites work: Transformation field analysis of inelastic composite materials
cites work: The determination of the elastic field of an ellipsoidal inclusion, and related problems
cites work: The finite element square reduced (FE2R ) method with GPU acceleration: towards three-dimensional two-scale simulations
cites work: Reduced basis hybrid computational homogenization based on a mixed incremental formulation
cites work: Multi-scale computational homogenization: trends and challenges
cites work: Reduced-order modeling of time-dependent PDEs with multiple parameters in the boundary data
cites work: High-performance model reduction techniques in computational multiscale homogenization
cites work: Elastic properties of reinforced solids: Some theoretical principles
cites work: On constitutive macro-variables for heterogeneous solids at finite strain
cites work: On macroscopic effects of heterogeneity in elastoplastic media at finite strain
cites work: Discrete Empirical Interpolation in POD Model Order Reduction of Drift-Diffusion Equations in Electrical Networks
cites work: A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics
cites work: Nonuniform transformation field analysis
cites work: A model-reduction approach in micromechanics of materials preserving the variational structure of constitutive relations
cites work: A numerical method for computing the overall response of nonlinear composites with complex microstructure
cites work: Efficient model reduction of parametrized systems by matrix discrete empirical interpolation
cites work: A multiscale reduced-basis method for parametrized elliptic partial differential equations with multiple scales
cites work: An adaptive and efficient greedy procedure for the optimal training of parametric reduced-order models
cites work: Reduced Basis Methods for Partial Differential Equations
cites work: POD-based model reduction with empirical interpolation applied to nonlinear elasticity
cites work: Q4414854
cites work: Turbulence and the dynamics of coherent structures. I. Coherent structures
cites work: A multiscale approach for modeling progressive damage of composite materials using fast Fourier transforms
cites work: On the computation of the macroscopic tangent for multiscale volumetric homogenization problems
cites work: The reduced model multiscale method (R3M) for the nonlinear homogenization of hyperelastic media at finite strains
DOI: 10.1007/S00466-017-1428-X
Recommended article: Reduced-order modelling numerical homogenization
Recommended article: Certification of projection-based reduced order modelling in computational homogenisation by the constitutive relation error
Recommended article: High-performance model reduction techniques in computational multiscale homogenization
Recommended article: Numerical performance of projection methods in finite element consolidation models
Recommended article: Numerical model reduction with error estimation for computational homogenization of non-linear consolidation
Recommended article: 1 Basic ideas and tools for projection-based model reduction of parametric partial differential equations
Recommended article: On some recent developments in projection-based model reduction
Recommended article: Projection-based reduced order models for a cut finite element method in parametrized domains
Recommended article: Investigation of the interactions between the numerical and the modeling errors in the homogenized Dirichlet projection method
Recommended article: Model reduction in computational homogenization for transient heat conduction
description: scientific article; zbMATH DE number 6839319