Survey of multifidelity methods in uncertainty propagation, inference, and optimization
B Peherstorfer, K Willcox, M Gunzburger - Siam Review, 2018 - SIAM
In many situations across computational science and engineering, multiple computational
models are available that describe a system of interest. These different models have varying …
models are available that describe a system of interest. These different models have varying …
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 …
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 …
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 -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …
Recent developments in spectral stochastic methods for the numerical solution of stochastic partial differential equations
A Nouy - Archives of Computational Methods in Engineering, 2009 - Springer
Uncertainty quantification appears today as a crucial point in numerous branches of science
and engineering. In the last two decades, a growing interest has been devoted to a new …
and engineering. In the last two decades, a growing interest has been devoted to a new …
On the verification of model reduction methods based on the proper generalized decomposition
P Ladeveze, L Chamoin - Computer Methods in Applied Mechanics and …, 2011 - Elsevier
In this work, we introduce a consistent error estimator for numerical simulations performed
by means of the proper generalized decomposition (PGD) approximation. This estimator …
by means of the proper generalized decomposition (PGD) approximation. This estimator …
On the deterministic solution of multidimensional parametric models using the proper generalized decomposition
This paper focuses on the efficient solution of models defined in high dimensional spaces.
Those models involve numerous numerical challenges because of their associated curse of …
Those models involve numerous numerical challenges because of their associated curse of …