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This paper proposes a deep-learning based generalized reduced-order model (ROM) that can provide a fast and accurate prediction of the glottal flow during normal phonation. The approach is based on the assumption that the vibration of the…

流体动力学 · 物理学 2020-05-26 Yang Zhang , Weili Jiang , Luning Sun , Jianxun Wang , Simeon Smith , Ingo R. Titze , Xudong Zheng , Qian Xue

As Einstein's equations for binary compact object inspiral have only been approximately or intermittently solved by analytic or numerical methods, the models used to infer parameters of gravitational wave (GW) sources are subject to…

广义相对论与量子宇宙学 · 物理学 2021-01-04 A. Z. Jan , A. B. Yelikar , J. Lange , R. O'Shaughnessy

One of the primary sources for the future space-based gravitational wave detector, the Laser Interferometer Space Antenna, are the inspirals of small compact objects into massive black holes in the centres of galaxies. The gravitational…

广义相对论与量子宇宙学 · 物理学 2021-06-16 Lorenzo Speri , Jonathan R. Gair

Time domain simulations are crucial for analyzing transient behavior and broadband responses in electromagnetic problems. However, conventional numerical methods such as finite element method in time domain (FEMTD) and finite difference…

计算物理 · 物理学 2025-02-19 Ruth Medeiros , Valentín de la Rubia

Objective: Inclusion of individualised electrical conductivities of head tissues is crucial for the accuracy of electrical source imaging techniques based on electro/magnetoencephalography and the efficacy of transcranial electrical…

We present a novel reduced order model (ROM) approach for parameterized time-dependent PDEs based on modern learning. The ROM is suitable for multi-query problems and is nonintrusive. It is divided into two distinct stages: A nonlinear…

数值分析 · 数学 2020-11-24 Nikolaj T. Mücke , Sander M. Bohté , Cornelis W. Oosterlee

Traditional linear subspace reduced order models (LS-ROMs) are able to accelerate physical simulations, in which the intrinsic solution space falls into a subspace with a small dimension, i.e., the solution space has a small Kolmogorov…

数值分析 · 数学 2020-11-17 Youngkyu Kim , Youngsoo Choi , David Widemann , Tarek Zohdi

The future space mission LISA will observe a wealth of gravitational-wave sources at millihertz frequencies. Of these, the extreme-mass-ratio inspirals of compact objects into massive black holes are the only sources that combine the…

广义相对论与量子宇宙学 · 物理学 2021-02-08 Alvin J. K. Chua , Michael L. Katz , Niels Warburton , Scott A. Hughes

In this work, the dual-weighted residual (DWR) method is applied to obtain a certified incremental proper orthogonal decomposition (POD) based reduced order model. A novel approach called MORe DWR (Model Order Rduction with Dual-Weighted…

数值分析 · 数学 2023-04-04 Hendrik Fischer , Julian Roth , Thomas Wick , Ludovic Chamoin , Amelie Fau

The two-layer quasi-geostrophic equations (2QGE) serve as a simplified model for simulating wind-driven, stratified ocean flows. However, their numerical simulation remains computationally expensive due to the need for high-resolution…

数值分析 · 数学 2025-04-23 Lander Besabe , Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

Gravitational waveforms capturing binary evolution through the early-inspiral phase play a critical role in extracting orbital features that nearly disappear during the late-inspiral and subsequent merger phase due to radiation reaction…

广义相对论与量子宇宙学 · 物理学 2025-07-04 Pratul Manna , Tamal RoyChowdhury , Chandra Kant Mishra

The long runtime of high-fidelity partial differential equation (PDE) solvers makes them unsuitable for time-critical applications. We propose to accelerate PDE solvers using reduced-order modeling (ROM). Whereas prior ROM approaches reduce…

We develop the foundations of an effective-one-body (EOB) model for eccentric binary coalescences that includes the conservative dynamics, radiation reaction, and gravitational waveform modes from the inspiral and the merger-ringdown…

广义相对论与量子宇宙学 · 物理学 2018-01-08 Tanja Hinderer , Stanislav Babak

We introduce an algorithm to marginalize the likelihood for a gravitational wave signal from a quasi-circular binary merger over its extrinsic parameters, accounting for the effects of higher harmonics and spin-induced precession. The…

广义相对论与量子宇宙学 · 物理学 2024-08-06 Javier Roulet , Jonathan Mushkin , Digvijay Wadekar , Tejaswi Venumadhav , Barak Zackay , Matias Zaldarriaga

Reg-ROMs are stabilization strategies that leverage spatial filtering to alleviate the spurious numerical oscillations generally displayed by the classical G-ROM in under-resolved numerical simulations of turbulent flows. In this paper, we…

数值分析 · 数学 2023-12-21 Ping-Hsuan Tsai , Paul Fischer , Traian Iliescu

While reduced-order models (ROMs) have been popular for efficiently solving large systems of differential equations, the stability of reduced models over long-time integration is of present challenges. We present a greedy approach for ROM…

数值分析 · 数学 2018-03-20 Babak Maboudi Afkham , Jan S. Hesthaven

We present a comparative computational study of two stabilized Reduced Order Models (ROMs) for the simulation of convection-dominated incompressible flow (Reynolds number of the order of a few thousands). Representative solutions in the…

流体动力学 · 物理学 2024-05-01 Pierfrancesco Siena , Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

We estimate the wave speed in the acoustic wave equation from boundary measurements by constructing a reduced-order model (ROM) matching discrete time-domain data. The state-variable representation of the ROM can be equivalently viewed as a…

数值分析 · 数学 2016-10-18 Vladimir Druskin , Alexander Mamonov , Andrew E. Thaler , Mikhail Zaslavsky

This research paper investigates the Adjoint Petrov-Galerkin (APG) method for reduced order models (ROM) and fluid dynamics governed by the incompressible Navier-Stokes equations. The Adjoint Petrov-Galerkin ROM, derived using the…

系统与控制 · 电气工程与系统科学 2026-01-13 Kamil David Sommer , Lucas Mieg , Siddharth Sharma , Romuald Skoda , Martin Mönnigmann

The inspiral and merger of black-hole binary systems are a promising source of gravitational waves. The most effective method to look for a signal with a well understood waveform, such as the binary black hole signal, is matched filtering…

广义相对论与量子宇宙学 · 物理学 2014-05-15 Larne Pekowsky , James Healy , Deirdre Shoemaker , Pablo Laguna
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