Eighty years of the finite element method: Birth, evolution, and future
This document presents comprehensive historical accounts on the developments of finite
element methods (FEM) since 1941, with a specific emphasis on developments related to …
element methods (FEM) since 1941, with a specific emphasis on developments related to …
On the use of simulation in robotics: Opportunities, challenges, and suggestions for moving forward
The last five years marked a surge in interest for and use of smart robots, which operate in
dynamic and unstructured environments and might interact with humans. We posit that well …
dynamic and unstructured environments and might interact with humans. We posit that well …
Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection-based model order reduction
A quadratic approximation manifold is presented for performing nonlinear, projection-based,
model order reduction (PMOR). It constitutes a departure from the traditional affine subspace …
model order reduction (PMOR). It constitutes a departure from the traditional affine subspace …
[图书][B] Uncertainty quantification
C Soize - 2017 - Springer
This book results from a course developed by the author and reflects both his own and
collaborative research regarding the development and implementation of uncertainty …
collaborative research regarding the development and implementation of uncertainty …
Fast, generic, and reliable control and simulation of soft robots using model order reduction
Obtaining an accurate mechanical model of a soft deformable robot compatible with the
computation time imposed by robotic applications is often considered an unattainable goal …
computation time imposed by robotic applications is often considered an unattainable goal …
Galerkin v. least-squares Petrov–Galerkin projection in nonlinear model reduction
Abstract Least-squares Petrov–Galerkin (LSPG) model-reduction techniques such as the
Gauss–Newton with Approximated Tensors (GNAT) method have shown promise, as they …
Gauss–Newton with Approximated Tensors (GNAT) method have shown promise, as they …
Structure‐preserving, stability, and accuracy properties of the energy‐conserving sampling and weighting method for the hyper reduction of nonlinear finite element …
The computational efficiency of a typical, projection‐based, nonlinear model reduction
method hinges on the efficient approximation, for explicit computations, of the scalar …
method hinges on the efficient approximation, for explicit computations, of the scalar …
Neural-network-augmented projection-based model order reduction for mitigating the Kolmogorov barrier to reducibility
Inspired by our previous work on a quadratic approximation manifold [1], we propose in this
paper a computationally tractable approach for combining a projection-based reduced-order …
paper a computationally tractable approach for combining a projection-based reduced-order …
[HTML][HTML] Dimensional hyper-reduction of nonlinear finite element models via empirical cubature
We present a general framework for the dimensional reduction, in terms of number of
degrees of freedom as well as number of integration points (“hyper-reduction”), of nonlinear …
degrees of freedom as well as number of integration points (“hyper-reduction”), of nonlinear …
On the stability of projection-based model order reduction for convection-dominated laminar and turbulent flows
In the literature on nonlinear projection-based model order reduction for computational fluid
dynamics problems, it is often claimed that due to modal truncation, a projection-based …
dynamics problems, it is often claimed that due to modal truncation, a projection-based …