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 …

A survey of projection-based model reduction methods for parametric dynamical systems

P Benner, S Gugercin, K Willcox - SIAM review, 2015 - SIAM
Numerical simulation of large-scale dynamical systems plays a fundamental role in studying
a wide range of complex physical phenomena; however, the inherent large-scale nature of …

Physics-informed multi-LSTM networks for metamodeling of nonlinear structures

R Zhang, Y Liu, H Sun - Computer Methods in Applied Mechanics and …, 2020 - Elsevier
This paper introduces an innovative physics-informed deep learning framework for
metamodeling of nonlinear structural systems with scarce data. The basic concept is to …

Reduced order isogeometric boundary element methods for CAD-integrated shape optimization in electromagnetic scattering

L Chen, Z Wang, H Lian, Y Ma, Z Meng, P Li… - Computer Methods in …, 2024 - Elsevier
This paper formulates a model order reduction method for electromagnetic boundary
element analysis and extends it to computer-aided design integrated shape optimization of …

Physics-guided convolutional neural network (PhyCNN) for data-driven seismic response modeling

R Zhang, Y Liu, H Sun - Engineering Structures, 2020 - Elsevier
Accurate prediction of building's response subjected to earthquakes makes possible to
evaluate building performance. To this end, we leverage the recent advances in deep …

Thick-restart block Lanczos method for large-scale shell-model calculations

N Shimizu, T Mizusaki, Y Utsuno, Y Tsunoda - Computer Physics …, 2019 - Elsevier
We propose a thick-restart block Lanczos method, which is an extension of the thick-restart
Lanczos method with the block algorithm, as an eigensolver of the large-scale shell-model …

Control of port-Hamiltonian differential-algebraic systems and applications

V Mehrmann, B Unger - Acta Numerica, 2023 - cambridge.org
We discuss the modelling framework of port-Hamiltonian descriptor systems and their use in
numerical simulation and control. The structure is ideal for automated network-based …

Nonlinear model reduction via discrete empirical interpolation

S Chaturantabut, DC Sorensen - SIAM Journal on Scientific Computing, 2010 - SIAM
A dimension reduction method called discrete empirical interpolation is proposed and
shown to dramatically reduce the computational complexity of the popular proper orthogonal …

A BEM broadband topology optimization strategy based on Taylor expansion and SOAR method—Application to 2D acoustic scattering problems

L Chen, J Zhao, H Lian, B Yu… - … Journal for Numerical …, 2023 - Wiley Online Library
In this article, an innovative method is proposed for broadband topology optimization of
sound‐absorbing materials adhering to the surface of a sound barrier structure. Helmholtz …

[Књига][B] Approximation of large-scale dynamical systems

AC Antoulas - 2005 - SIAM
In today's technological world, physical and artificial processes are mainly described by
mathematical models, which can be used for simulation or control. These processes are …