Survey of multifidelity methods in uncertainty propagation, inference, and optimization
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 survey of projection-based model reduction methods for parametric dynamical systems
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 …
a wide range of complex physical phenomena; however, the inherent large-scale nature of …
Reduced basis methods for time-dependent problems
Numerical simulation of parametrized differential equations is of crucial importance in the
study of real-world phenomena in applied science and engineering. Computational methods …
study of real-world phenomena in applied science and engineering. Computational methods …
Data-driven operator inference for nonintrusive projection-based model reduction
This work presents a nonintrusive projection-based model reduction approach for full
models based on time-dependent partial differential equations. Projection-based model …
models based on time-dependent partial differential equations. Projection-based model …
Modeling, analysis, and optimization under uncertainties: a review
Abstract Design optimization of structural and multidisciplinary systems under uncertainty
has been an active area of research due to its evident advantages over deterministic design …
has been an active area of research due to its evident advantages over deterministic design …
Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy‐based mesh sampling and weighting for computational efficiency
SUMMARY A rigorous computational framework for the dimensional reduction of discrete,
high‐fidelity, nonlinear, finite element structural dynamics models is presented. It is based …
high‐fidelity, nonlinear, finite element structural dynamics models is presented. It is based …
Numerical solution of saddle point problems
Large linear systems of saddle point type arise in a wide variety of applications throughout
computational science and engineering. Due to their indefiniteness and often poor spectral …
computational science and engineering. Due to their indefiniteness and often poor spectral …
Model order reduction for linear and nonlinear systems: a system-theoretic perspective
In the past decades, Model Order Reduction (MOR) has demonstrated its robustness and
wide applicability for simulating large-scale mathematical models in engineering and the …
wide applicability for simulating large-scale mathematical models in engineering and the …
Data-driven reduced-order models via regularised operator inference for a single-injector combustion process
This paper derives predictive reduced-order models for rocket engine combustion dynamics
via Operator Inference, a scientific machine learning approach that blends data-driven …
via Operator Inference, a scientific machine learning approach that blends data-driven …
A comparison of model reduction techniques from structural dynamics, numerical mathematics and systems and control
In this paper, popular model reduction techniques from the fields of structural dynamics,
numerical mathematics and systems and control are reviewed and compared. The …
numerical mathematics and systems and control are reviewed and compared. The …