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Related papers: Structured model order reduction for vibro-acousti…

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This paper presents a paraxial modeling approach for vibro-acoustography, a high-frequency ultrasound imaging technique that makes use of the excited low-frequency field to achieve a higher resolution while avoiding speckles. We start from…

Numerical Analysis · Mathematics 2023-10-06 Teresa Rauscher

Many real-world systems are modelled using complex ordinary differential equations (ODEs). However, the dimensionality of these systems can make them challenging to analyze. Dimensionality reduction techniques like Proper Orthogonal…

Computational Engineering, Finance, and Science · Computer Science 2025-02-26 Abhishek Ajayakumar , Soumyendu Raha

In many applications, and in particular in seismology, realistic propagation media disperse and attenuate waves. This dissipative behavior can be taken into account by using a viscoacoustic propagation model, which incorporates a complex…

Numerical Analysis · Mathematics 2025-10-20 Jean-Philippe Groby , Chrysoula Tsogka

Thin-shell structures, found in biological systems such as beetle carapaces and widely used in aerospace, civil, and mechanical engineering, achieve remarkable strength-to-mass ratio given their slenderness and curved geometries. However,…

Applied Physics · Physics 2025-07-01 Ilyes Krida , Jacob Tang , Daniel Floryan , Tian Chen

It is of great concern to produce numerically efficient methods for moisture diffusion through porous media, capable of accurately calculate moisture distribution with a reduced computational effort. In this way, model reduction methods are…

Computational Physics · Physics 2020-02-20 Suelen Gasparin , Julien Berger , Denys Dutykh , Nathan Mendes

An analytical theory is presented for the damping of low-frequency adsorbate vibrations via resonant coupling to the substrate phonons. The system is treated classically, with the substrate modeled as a semi-infinite elastic continuum and…

Materials Science · Physics 2009-10-30 Steven P. Lewis , M. V. Pykhtin , E. J. Mele , Andrew M. Rappe

In this paper, we present an adaptive framework for constructing a pseudo-optimal reduced model for the frequency-limited H2-optimal model order reduction problem. We show that the frequency-limited pseudo-optimal reduced-order model has an…

Systems and Control · Electrical Eng. & Systems 2021-09-27 Umair Zulfiqar , Victor Sreeram , Xin Du

From ancient to modern times, acoustic structures have been used to control the propagation of acoustic waves. However, the design of the acoustic structures has remained widely a time-consuming and computational resource-consuming…

Sound · Computer Science 2024-11-12 Xuecong Sun , Han Jia , Yuzhen Yang , Han Zhao , Yafeng Bi , Zhaoyong Sun , Jun Yang

Double-wall cylindrical shells are widely used in applications where resistance to acoustic shock loading is critical. While the transient vibroacoustic behavior of single-walled shells has been extensively investigated, extending these…

Applied Physics · Physics 2025-12-23 Rahim Vesal , Seyyed Mohammad Hasheminejad , Hervé Lissek

We discuss the interpolation of the electric and magnetic fields within a charge-conserving Particle-In-Cell scheme. The choice of the interpolation procedure for the fields acting on a particle can be constrained by analyzing conservation…

Plasma Physics · Physics 2012-09-14 Igor V. Sokolov

An active dissipative process organizes auditory frequency analysis in the mammalian cochlea. A minimal active beam model reveals that a spatially varying viscous coupling operator, $\partial_{xx}\kappa\partial_{xx}$, generates dissipative…

Biological Physics · Physics 2026-02-06 Yasuki Murakami

In this work, we consider wave propagation in materials characterized by nonlinear properties or damage. To accelerate the simulations of the resulting high-dimensional problems, we apply model order reduction methods. Depending on the…

Numerical Analysis · Mathematics 2026-03-24 Saddam Hijazi , Nikiema Fulgence , Hannah Burmester , Natalie Rauter , Carmen Gräßle

We numerically investigate sound damping in a model of granular materials in two dimensions. We simulate evolution of standing waves in disordered frictionless disks and analyze their damped oscillations by velocity autocorrelation…

Soft Condensed Matter · Physics 2026-03-26 Kuniyasu Saitoh , Hideyuki Mizuno

We present a strategy for the recovery of a sparse solution of a common problem in acoustic engineering, which is the reconstruction of sound source levels and locations applying microphone array measurements. The considered task bears…

Optimization and Control · Mathematics 2016-07-04 Laurent Hoeltgen , Michael Breuß , Gert Herold , Ennes Sarradj

This paper presents a novel model order reduction technique tailored for power systems with a large share of inverter-based energy resources. Such systems exhibit an increased level of dynamic stiffness compared to traditional power…

Systems and Control · Electrical Eng. & Systems 2024-07-08 Simon Muntwiler , Ognjen Stanojev , Andrea Zanelli , Gabriela Hug , Melanie N. Zeilinger

The analysis of the ultrasonic frequency-dependent backscatter coefficient of aggregating red blood cells reveals information about blood structural properties. The difficulty to apply this technique in vivo is due to the…

Biological Physics · Physics 2009-11-13 Emilie Franceschini , François T. H. Yu , Guy Cloutier

We consider linear magneto-quasistatic field equations which arise in simulation of low-frequency electromagnetic devices coupled to electrical circuits. A finite element discretization of such equations on 3D domains leads to a singular…

Numerical Analysis · Mathematics 2019-11-21 Johanna Kerler-Back , Tatjana Stykel

The method of location and spectral estimation of weak signals on a noise background is being considered. The method is based on the optimized on order and noise dispersion autoregressive model of a sought signal. A new approach of model…

Computational Engineering, Finance, and Science · Computer Science 2007-07-03 Yu. Bunyak , O. Bunyak

This work is devoted to investigating a compressible fluid system with low stratification, which is driven by fast acoustic waves and internal waves. The approximation using a soundproof model is justified. More precisely, the soundproof…

Analysis of PDEs · Mathematics 2022-08-24 Didier Bresch , Rupert Klein , Xin Liu

In string musical instruments, the sound is radiated by the soundboard, subject to the strings excitation. This vibration of this rather complex structure is described here with models which need only a small number of parameters.…

Classical Physics · Physics 2013-06-04 Xavier Boutillon , Kerem Ege