Variational quantum algorithms for computational fluid dynamics
Quantum computing uses the physical principles of very small systems to develop
computing platforms which can solve problems that are intractable on conventional …
computing platforms which can solve problems that are intractable on conventional …
[HTML][HTML] MORe DWR: space-time goal-oriented error control for incremental POD-based ROM for time-averaged goal functionals
In this work, the dual-weighted residual (DWR) method is applied to obtain an error-
controlled incremental proper orthogonal decomposition (POD) based reduced order model …
controlled incremental proper orthogonal decomposition (POD) based reduced order model …
Parameter identification and uncertainty propagation of hydrogel coupled diffusion-deformation using POD-based reduced-order modeling
This study explores reduced-order modeling for analyzing time-dependent diffusion-
deformation of hydrogels. The full-order model describing hydrogel transient behavior …
deformation of hydrogels. The full-order model describing hydrogel transient behavior …
An incremental singular value decomposition approach for large-scale spatially parallel & distributed but temporally serial data–applied to technical flows
The article presents a strategy and its algorithm to compile a simulation-accompanying,
incremental Singular Value Decomposition (SVD) for time-evolving, spatially parallel …
incremental Singular Value Decomposition (SVD) for time-evolving, spatially parallel …
Randomized low‐rank approximation methods for projection‐based model order reduction of large nonlinear dynamical problems
C Bach, D Ceglia, L Song… - International Journal for …, 2019 - Wiley Online Library
Projection‐based nonlinear model order reduction (MOR) methods typically make use of a
reduced basis to approximate high‐dimensional quantities. However, the most popular …
reduced basis to approximate high‐dimensional quantities. However, the most popular …
Efficient Frequency and Time-Domain Simulations of Delayed PEEC Models With Proper Orthogonal Decomposition Techniques
The Partial Element Equivalent Circuit (PEEC) method has gained significant recognition as
an electromagnetic computational technique known for its ability to represent …
an electromagnetic computational technique known for its ability to represent …
[HTML][HTML] An enhanced algorithm for online proper orthogonal decomposition and its parallelization for unsteady simulations
X Li, S Hulshoff, S Hickel - Computers & Mathematics with Applications, 2022 - Elsevier
Abstract Proper Orthogonal Decomposition (POD) plays an important role in the analysis of
complex nonlinear systems governed by partial differential equations (PDEs), since it can …
complex nonlinear systems governed by partial differential equations (PDEs), since it can …
A reduced order modeling method based on GNAT-embedded hybrid snapshot simulation
This paper presents a method to embed the Gauss–Newton approximated tensor (GNAT)
reduced order model (ROM) into the hybrid snapshot simulation to enhance generation …
reduced order model (ROM) into the hybrid snapshot simulation to enhance generation …
Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method
The majority of the most common physical phenomena can be described using partial
differential equations (PDEs). However, they are very often characterized by strong …
differential equations (PDEs). However, they are very often characterized by strong …
A systematic online update method for reduced-order-model-based digital twin
A digital twin (DT) is a model that mirrors a physical system and is continuously updated with
real-time data from the physical system. Recent implementations of reduced-order-model …
real-time data from the physical system. Recent implementations of reduced-order-model …