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Porous acoustic absorbers have excellent properties in the low-frequency range when positioned in room edges, therefore they are a common method for reducing low-frequency reverberation. However, standard room acoustic simulation methods…

The finite element methods (FEM) are important techniques in engineering for solving partial differential equations, but they depend heavily on element shape quality for stability and good performance. In this paper, we introduce the…

Numerical Analysis · Mathematics 2016-03-30 Rebecca Conley , Tristan J. Delaney , Xiangmin Jiao

Interactions between mesoscopic devices induced by interface acoustic phonons propagating in the plane of a two-dimensional electron system (2DES) are investigated by phonon-spectroscopy. In our experiments ballistic electrons injected from…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 G. J. Schinner , H. P. Tranitz , W. Wegscheider , J. P. Kotthaus , S. Ludwig

The surface Boundary Element Method (BEM) is one of the most commonly employed formulations to solve the forward problem in electroencephalography, but the applicability of its classical incarnations is lamentably limited to piece-wise…

Image and Video Processing · Electrical Eng. & Systems 2020-04-27 Maxime Y. Monin , Lyes Rahmouni , Francesco P. Andriulli

Finite element methods are used to study non-adhesive, frictionless contact between elastic solids with self-affine surfaces. We find that the total contact area rises linearly with load at small loads. The mean pressure in the contact…

Materials Science · Physics 2009-11-10 S. Hyun , L. Pei , J. -F. Molinari , M. O. Robbins

From a mathematical perspective, the extraordinary properties of metamaterials are often reflected in the coefficients of the governing partial differential equations (PDEs). These coefficients may fall outside the assumptions of classical…

Numerical Analysis · Mathematics 2026-05-22 Eric T. Chung , Patrick Ciarlet , Xingguang Jin , Changqing Ye

Contactless ultrasound power transfer (UPT) has emerged as one of the promising techniques for wireless power transfer. Physical processes supporting UPT include the vibrations at a transmitting/acoustic source element, acoustic wave…

Applied Physics · Physics 2020-10-09 Aarushi Bhargava , Shima Shahab

In many industries, including aerospace and defense, waveform analysis is commonly conducted to compute the resonance of physical objects, with the Finite Element Method (FEM) being the standard approach. The Finite Difference Method (FDM)…

Audio and Speech Processing · Electrical Eng. & Systems 2025-07-09 Juliette Florin

Elliptic partial differential equations (PDEs) with discontinuous diffusion coefficients occur in application domains such as diffusions through porous media, electro-magnetic field propagation on heterogeneous media, and diffusion…

Numerical Analysis · Mathematics 2015-01-20 Andrea Bonito , Ronald A. DeVore , Ricardo H. Nochetto

The boundary element method (BEM) is an efficient numerical method for simulating harmonic wave propagation. It uses boundary integral formulations of the Helmholtz equation at the interfaces of piecewise homogeneous domains. The…

Numerical Analysis · Mathematics 2022-11-01 Elwin van 't Wout , Seyyed R. Haqshenas , Pierre Gélat , Timo Betcke , Nader Saffari

We propose an efficient and accurate parametric finite element method (PFEM) for solving sharp-interface continuum models for solid-state dewetting of thin films with anisotropic surface energies. The governing equations of the…

Numerical Analysis · Mathematics 2017-01-10 Weizhu Bao , Wei Jiang , Yan Wang , Quan Zhao

We develop a unified treatment of the piesoelectric coupling between two-dimensional electrons and bulk phonons in both cases of zero and strong magnetic fields, the latter corresponding to even denominator filling fractions. In contrast to…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. V. Khveshchenko , Michael Reizer

Over sixty years ago, it was hypothesized that specially designed acoustic systems that leveraged the acoustoelectric effect between phonons and charge carriers could revolutionize radio frequency electronic systems by allowing nonlinear…

We present a new formulation of the Boundary Element Method (BEM) for simulating the non-adhesive and adhesive contact between an indenter of arbitrary shape and an elastic half-space coated with an elastic layer of different material. We…

Soft Condensed Matter · Physics 2018-07-06 Qiang Li , Roman Pohrt , Iakov A. Lyashenko , Valentin L. Popov

The finite element method (FEM) is a cornerstone numerical technique for solving partial differential equations (PDEs). Here, we present $\textbf{Qu-FEM}$, a fault-tolerant era quantum algorithm for the finite element method. In contrast to…

Quantum Physics · Physics 2025-10-22 Ahmad M. Alkadri , Tyler D. Kharazi , K. Birgitta Whaley , Kranthi K. Mandadapu

A precise analytical treatment for predicting the behavior of nano-sized magneto-electro-elastic (MEE) antennas and resonators under incident acoustic waves requires consideration of multiphysics surface/interface effects, including…

Materials Science · Physics 2025-04-15 Mohsen Farsiani , Hossein M. Shodja

Ferroelectric materials have remained one of the foci of condensed matter physics and materials science for over 50 years. In the last 20 years, the development of voltage-modulated scanning probe microscopy techniques, exemplified by…

Materials Science · Physics 2017-01-06 Rama K. Vasudevan , Nina Balke , Peter Maksymovych , Stephen Jesse , Sergei V. Kalinin

Finite Element Modeling (FEM) has been widely used to model the electric field distribution, to study the interaction between stimulation electrodes and neural tissue. However, due to the insufficient computational capability to represent…

Neurons and Cognition · Quantitative Biology 2019-08-22 Jiahui Wang , Hao Wanga , Xin Yuan Thow , Nitish V. Thakor

Engineering of phonons, i.e., collective lattice vibrations in crystals, is essential for manipulating physical properties of materials such as thermal transport, electron-phonon interaction, confinement of lattice vibration, and optical…

Materials Science · Physics 2022-02-04 Seung Gyo Jeong , Ambrose Seo , Woo Seok Choi

A coupled BEM/FEM formulation for the transient interaction between an acoustic field and a piezoelectric scatterer is proposed. The scattered part of the acoustic wave is represented in terms of retarded layer potentials while the elastic…

Numerical Analysis · Mathematics 2018-04-23 Tonatiuh Sanchez-Vizuet , Francisco-Javier Sayas