A two-stage surrogate model for Neo-Hookean problems based on adaptive proper orthogonal decomposition and hierarchical tensor approximation
Published 2020 View Full Article
- Home
- Publications
- Publication Search
- Publication Details
Title
A two-stage surrogate model for Neo-Hookean problems based on adaptive proper orthogonal decomposition and hierarchical tensor approximation
Authors
Keywords
Model order reduction, Low rank approximation, Surrogate modelling, Response surface
Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 372, Issue -, Pages 113368
Publisher
Elsevier BV
Online
2020-09-29
DOI
10.1016/j.cma.2020.113368
References
Ask authors/readers for more resources
Related references
Note: Only part of the references are listed.- Evidence theory-based reliability optimization design using polynomial chaos expansion
- (2018) Chong Wang et al. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
- Pseudo-skeleton approximations with better accuracy estimates
- (2018) A.I. Osinsky et al. LINEAR ALGEBRA AND ITS APPLICATIONS
- Recurrent neural networks for fuzzy data
- (2018) Steffen Freitag et al. INTEGRATED COMPUTER-AIDED ENGINEERING
- A Weighted POD Method for Elliptic PDEs with Random Inputs
- (2018) Luca Venturi et al. JOURNAL OF SCIENTIFIC COMPUTING
- A POD-selective inverse distance weighting method for fast parametrized shape morphing
- (2018) Francesco Ballarin et al. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
- Computation of the output of a function with fuzzy inputs based on a low-rank tensor approximation
- (2017) Samuel Corveleyn et al. FUZZY SETS AND SYSTEMS
- Gradient-extended two-surface damage-plasticity: Micromorphic formulation and numerical aspects
- (2017) Tim Brepols et al. INTERNATIONAL JOURNAL OF PLASTICITY
- Efficient algorithms for cur and interpolative matrix decompositions
- (2016) Sergey Voronin et al. ADVANCES IN COMPUTATIONAL MATHEMATICS
- Calculating vibrational spectra of molecules using tensor train decomposition
- (2016) Maxim Rakhuba et al. JOURNAL OF CHEMICAL PHYSICS
- Model-Order Reduction of Magnetoquasi-Static Problems Based on POD and Arnoldi-Based Krylov Methods
- (2015) Antoine Pierquin et al. IEEE TRANSACTIONS ON MAGNETICS
- Model-Order Reduction of Multiple-Input Non-Linear Systems Based on POD and DEI Methods
- (2015) Thomas Henneron et al. IEEE TRANSACTIONS ON MAGNETICS
- POD-based model reduction with empirical interpolation applied to nonlinear elasticity
- (2015) Annika Radermacher et al. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
- Optimization on the Hierarchical Tucker manifold – Applications to tensor completion
- (2015) Curt Da Silva et al. LINEAR ALGEBRA AND ITS APPLICATIONS
- Hierarchical Tensor Approximation of Output Quantities of Parameter-Dependent PDEs
- (2015) Jonas Ballani et al. SIAM-ASA Journal on Uncertainty Quantification
- A comparison of projection-based model reduction concepts in the context of nonlinear biomechanics
- (2013) Annika Radermacher et al. ARCHIVE OF APPLIED MECHANICS
- An Introduction to Hierarchical (H-) Rank and TT-Rank of Tensors with Examples
- (2013) Lars Grasedyck et al. Computational Methods in Applied Mathematics
- Nonlinear model order reduction based on local reduced-order bases
- (2012) David Amsallem et al. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
- A Short Review on Model Order Reduction Based on Proper Generalized Decomposition
- (2011) Francisco Chinesta et al. ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING
- On the convergence of generalized polynomial chaos expansions
- (2011) Oliver G. Ernst et al. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
- Black box approximation of tensors in hierarchical Tucker format
- (2011) Jonas Ballani et al. LINEAR ALGEBRA AND ITS APPLICATIONS
- A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space
- (2011) Bernard Haasdonk et al. MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS
- Anhpcertified reduced basis method for parametrized parabolic partial differential equations
- (2011) Jens L. Eftang et al. MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS
- Tensor-Train Decomposition
- (2011) I. V. Oseledets SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Hierarchical Singular Value Decomposition of Tensors
- (2010) Lars Grasedyck SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
- Micromorphic Approach for Gradient Elasticity, Viscoplasticity, and Damage
- (2009) Samuel Forest JOURNAL OF ENGINEERING MECHANICS
- A New Scheme for the Tensor Representation
- (2009) W. Hackbusch et al. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
- Tensor Decompositions and Applications
- (2009) Tamara G. Kolda et al. SIAM REVIEW
- Proper orthogonal decomposition for optimality systems
- (2008) Karl Kunisch et al. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
- A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
- (2008) F. Nobile et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
Publish scientific posters with Peeref
Peeref publishes scientific posters from all research disciplines. Our Diamond Open Access policy means free access to content and no publication fees for authors.
Learn MoreAsk a Question. Answer a Question.
Quickly pose questions to the entire community. Debate answers and get clarity on the most important issues facing researchers.
Get Started