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 …
[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 …
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 …
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 …
Visualization of the complex structure and stress field inside rock by means of 3D printing technology
Accurate characterization and visualization of the complex inner structure and stress
distribution of rocks are of vital significance to solve a variety of underground engineering …
distribution of rocks are of vital significance to solve a variety of underground engineering …