A literature survey of low‐rank tensor approximation techniques
L Grasedyck, D Kressner, C Tobler - GAMM‐Mitteilungen, 2013 - Wiley Online Library
During the last years, low‐rank tensor approximation has been established as a new tool in
scientific computing to address large‐scale linear and multilinear algebra problems, which …
scientific computing to address large‐scale linear and multilinear algebra problems, which …
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 …
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 …
The latin multiscale computational method and the proper generalized decomposition
The LATIN multiscale computational method and the Proper Generalized Decomposition -
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ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …
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 …
Hybrid analysis and modeling, eclecticism, and multifidelity computing toward digital twin revolution
Most modeling approaches lie in either of the two categories: physics‐based or data‐driven.
Recently, a third approach which is a combination of these deterministic and statistical …
Recently, a third approach which is a combination of these deterministic and statistical …
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 …
Space–time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems
A classical reduced order model for dynamical problems involves spatial reduction of the
problem size. However, temporal reduction accompanied by the spatial reduction can further …
problem size. However, temporal reduction accompanied by the spatial reduction can further …