Zobrazeno 1 - 10
of 914
pro vyhledávání: '"Hess, P. W."'
Parametric time-dependent systems are of a crucial importance in modeling real phenomena, often characterized by non-linear behaviors too. Those solutions are typically difficult to generalize in a sufficiently wide parameter space while counting on
Externí odkaz:
http://arxiv.org/abs/2301.09926
We investigate various data-driven methods to enhance projection-based model reduction techniques with the aim of capturing bifurcating solutions. To show the effectiveness of the data-driven enhancements, we focus on the incompressible Navier-Stokes
Externí odkaz:
http://arxiv.org/abs/2202.09250
This work introduces a novel approach for data-driven model reduction of time-dependent parametric partial differential equations. Using a multi-step procedure consisting of proper orthogonal decomposition, dynamic mode decomposition and manifold int
Externí odkaz:
http://arxiv.org/abs/2201.10872
In this paper, we present recent efforts to develop reduced order modeling (ROM) capabilities for spectral element methods (SEM). Namely, we detail the implementation of ROM for both continuous Galerkin and discontinuous Galerkin methods in the spect
Externí odkaz:
http://arxiv.org/abs/2201.05404
Model Reduction Using Sparse Polynomial Interpolation for the Incompressible Navier-Stokes Equations
Autor:
Hess, Martin W., Rozza, Gianluigi
This work investigates the use of sparse polynomial interpolation as a model order reduction method for the incompressible Navier-Stokes equations. Numerical results are presented underscoring the validity of sparse polynomial approximations and comp
Externí odkaz:
http://arxiv.org/abs/2201.03228
Publikováno v:
OSA Continuum 4, 2949-2969 (2021)
A simple, self-calibrating, rotating-waveplate polarimeter is largely insensitive to light intensity fluctuations and is shown to be useful for determining the Stokes parameters of light. This study shows how to minimize the in situ self-calibration
Externí odkaz:
http://arxiv.org/abs/2105.12643
Autor:
Kyprianidis, Antonis, Machado, Francisco, Morong, William, Becker, Patrick, Collins, Kate S., Else, Dominic V., Feng, Lei, Hess, Paul W., Nayak, Chetan, Pagano, Guido, Yao, Norman Y., Monroe, Christopher
Publikováno v:
Science 372, 1192-1196 (2021)
The conventional framework for defining and understanding phases of matter requires thermodynamic equilibrium. Extensions to non-equilibrium systems have led to surprising insights into the nature of many-body thermalization and the discovery of nove
Externí odkaz:
http://arxiv.org/abs/2102.01695
This paper focuses on reduced-order models (ROMs) built for the efficient treatment of PDEs having solutions that bifurcate as the values of multiple input parameters change. First, we consider a method called local ROM that uses k-means algorithm to
Externí odkaz:
http://arxiv.org/abs/2010.07370
In the study of micro-swimmers, both artificial and biological ones, many-query problems arise naturally. Even with the use of advanced high performance computing (HPC), it is not possible to solve this kind of problems in an acceptable amount of tim
Externí odkaz:
http://arxiv.org/abs/2006.13836
Autor:
Hess, Zhaoxia W., Shipman, Stephen P.
We investigate the spectrum of Schr\"odinger operators on finite regular metric trees through a relation to orthogonal polynomials that provides a graphical perspective. As the Robin vertex parameter tends to $-\infty$, a narrow cluster of finitely m
Externí odkaz:
http://arxiv.org/abs/2006.12377