A numerical study of different projection-based model reduction techniques applied to computational homogenisation
DOI10.1007/s00466-017-1428-xzbMath1386.74142OpenAlexW2623406726WikidataQ59527769 ScholiaQ59527769MaRDI QIDQ1697146
Benjamin Brands, Reza Zabihyan, Dominic Soldner, Julia Mergheim, Paul Steinmann
Publication date: 15 February 2018
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-017-1428-x
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Homogenization in equilibrium problems of solid mechanics (74Q05)
Related Items (18)
Uses Software
Cites Work
- Unnamed Item
- The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
- Improving the \( k\)-\textit{compressibility} of hyper reduced order models with moving sources: applications to welding and phase change problems
- A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics
- An overview of the proper generalized decomposition with applications in computational rheology
- On the computation of the macroscopic tangent for multiscale volumetric homogenization problems
- A multiscale approach for modeling progressive damage of composite materials using fast Fourier transforms
- The reduced model multiscale method (R3M) for the nonlinear homogenization of hyperelastic media at finite strains
- A multiscale reduced-basis method for parametrized elliptic partial differential equations with multiple scales
- Multi-scale computational homogenization: trends and challenges
- Nonuniform transformation field analysis
- High-performance model reduction techniques in computational multiscale homogenization
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- A numerical method for computing the overall response of nonlinear composites with complex microstructure
- Efficient model reduction of parametrized systems by matrix discrete empirical interpolation
- Reduced basis hybrid computational homogenization based on a mixed incremental formulation
- A PGD-based homogenization technique for the resolution of nonlinear multiscale problems
- Reduced-order modeling of time-dependent PDEs with multiple parameters in the boundary data
- Elastic properties of reinforced solids: Some theoretical principles
- A model-reduction approach in micromechanics of materials preserving the variational structure of constitutive relations
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
- Discrete Empirical Interpolation in POD Model Order Reduction of Drift-Diffusion Equations in Electrical Networks
- An adaptive and efficient greedy procedure for the optimal training of parametric reduced-order models
- POD-based model reduction with empirical interpolation applied to nonlinear elasticity
- The finite element square reduced (FE2R ) method with GPU acceleration: towards three-dimensional two-scale simulations
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- On macroscopic effects of heterogeneity in elastoplastic media at finite strain
- The determination of the elastic field of an ellipsoidal inclusion, and related problems
- Reduced-Basis Approach for Homogenization beyond the Periodic Setting
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- Transformation field analysis of inelastic composite materials
- Reduced‐order modelling for linear heat conduction with parametrised moving heat sources
- Reduced Basis Methods for Partial Differential Equations
- On constitutive macro-variables for heterogeneous solids at finite strain
This page was built for publication: A numerical study of different projection-based model reduction techniques applied to computational homogenisation