A short review on model order reduction based on proper generalized decomposition
This paper revisits a new model reduction methodology based on the use of separated
representations, the so called Proper Generalized Decomposition—PGD. Space and time …
representations, the so called Proper Generalized Decomposition—PGD. Space and time …
Aspects of computational homogenization at finite deformations: a unifying review from Reuss' to Voigt's bound
The objective of this contribution is to present a unifying review on strain-driven
computational homogenization at finite strains, thereby elaborating on computational …
computational homogenization at finite strains, thereby elaborating on computational …
A framework for data-driven analysis of materials under uncertainty: Countering the curse of dimensionality
A new data-driven computational framework is developed to assist in the design and
modeling of new material systems and structures. The proposed framework integrates three …
modeling of new material systems and structures. The proposed framework integrates three …
Self-consistent clustering analysis: an efficient multi-scale scheme for inelastic heterogeneous materials
The discovery of efficient and accurate descriptions for the macroscopic behavior of
materials with complex microstructure is an outstanding challenge in mechanics of …
materials with complex microstructure is an outstanding challenge in mechanics of …
PGD-Based Computational Vademecum for Efficient Design, Optimization and Control
In this paper we are addressing a new paradigm in the field of simulation-based engineering
sciences (SBES) to face the challenges posed by current ICT technologies. Despite the …
sciences (SBES) to face the challenges posed by current ICT technologies. Despite the …
Recent advances and new challenges in the use of the proper generalized decomposition for solving multidimensional models
This paper revisits a powerful discretization technique, the Proper Generalized
Decomposition—PGD, illustrating its ability for solving highly multidimensional models. This …
Decomposition—PGD, illustrating its ability for solving highly multidimensional models. This …
A priori model reduction through proper generalized decomposition for solving time-dependent partial differential equations
A Nouy - Computer Methods in Applied Mechanics and …, 2010 - Elsevier
Over the past years, model reduction techniques have become a necessary path for the
reduction of computational requirements in the numerical simulation of complex models. A …
reduction of computational requirements in the numerical simulation of complex models. A …
An overview of the proper generalized decomposition with applications in computational rheology
We review the foundations and applications of the proper generalized decomposition (PGD),
a powerful model reduction technique that computes a priori by means of successive …
a powerful model reduction technique that computes a priori by means of successive …
Advanced simulation of models defined in plate geometries: 3D solutions with 2D computational complexity
Many models in polymer processing and composites manufacturing are defined in
degenerated three-dimensional domains, involving plate or shell geometries. The reduction …
degenerated three-dimensional domains, involving plate or shell geometries. The reduction …
Proper generalized decompositions and separated representations for the numerical solution of high dimensional stochastic problems
A Nouy - Archives of Computational Methods in Engineering, 2010 - Springer
Uncertainty quantification and propagation in physical systems appear as a critical path for
the improvement of the prediction of their response. Galerkin-type spectral stochastic …
the improvement of the prediction of their response. Galerkin-type spectral stochastic …