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In this paper, a generalized finite element method (GFEM) with optimal local approximation spaces for solving high-frequency heterogeneous Helmholtz problems is systematically studied. The local spaces are built from selected eigenvectors…

Numerical Analysis · Mathematics 2022-09-15 Chupeng Ma , Christian Alber , Robert Scheichl

This paper investigates finite-element modeling of a vertically damped free-standing rocking column. The paper first derives the nonlinear equation of motion for the coupled system and then compares the analytical solution with…

Applied Physics · Physics 2022-06-29 Mehrdad Aghagholizadeh

Modern extreme adaptive optics (AO) systems achieving diffraction-limited performance open up new possibilities for instrumentation. Especially important for the fields of spectroscopy and interferometry is that it enables the prospect to…

Ferri-/ferromagnetic exchange coupled composites are promising candidates for bit patterned media because of the ability to control the magnetic properties of the ferrimagnet by its composition. A micromagnetic model for the bilayer system…

Coupled resonators form band-like optical states that support rich nonlinearities beyond what is possible in single resonators. In these systems, four-wave mixing mediates interband coupling, displaying multimode dynamics that span both…

In two and three dimensions, this study is focused on the numerical analysis of an eigenproblem associated with a fluid-structure model for sloshing and elasto-acoustic vibration. We use a displacement-Herrmann pressure formulation for the…

Numerical Analysis · Mathematics 2025-11-05 Arbaz Khan , Felipe Lepe , David Mora , Ricardo Ruíz-Baier , Jesus Vellojin

A dynamic linear thermo-poroelasticity model, containing inertial and relaxation terms with second-order time derivatives, is investigated in this paper. The mathematical and numerical analysis of this model is performed in the frequency…

Numerical Analysis · Mathematics 2025-11-25 Hongpeng Li , Cristian Carcamo , Hongxing Rui , Volker John

This paper presents a novel approach for solving fourth-order phase-field models in brittle fracture mechanics using the Interior Penalty Finite Element Method (IP-FEM). The fourth-order model improves numerical stability and accuracy…

Numerical Analysis · Mathematics 2025-04-15 Tian Tian , Chen Chunyu , Wei Huayi

Localization of normal modes is used in recent microelectromechanical systems (MEMS) technologies with orders of magnitude improvements in sensitivity. A pair of eigenvalues veer, or avoid crossing each other, as a single parameter of a…

Applied Physics · Physics 2018-05-29 M. Manav , A. S. Phani , E. Cretu

The aim of this paper is to deal with multi-physics simulation of micro-electro-mechanical systems (MEMS) based on an advanced numerical methodology. MEMS are very small devices in which electric as well as mechanical and fluid phenomena…

Other Computer Science · Computer Science 2007-11-29 V. Rochus , J. -C. Golinval , C. Louis , C. Mendez , I. Klapka

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

Finite-element simulations of optical cavities are presented, showing frequency splittings in the resonance spectrum. These results support the theoretical framework and experimental observations presented in van Exter et al. (2022, Phys.…

Optics · Physics 2026-04-16 Jonah Post , Joep K. van den Brink , Martin P. van Exter

Nowadays, silicon micro-cantilevers with different geometrical shapes are widely used as micro-electro-mechanical systems and, more recently, as force sensor probes in atomic force microscopy (AFM). During the last ten years, several…

Classical Physics · Physics 2009-04-28 Guy Louarn , Stéphane Cuenot

The combination of Finite Element Method (FEM) simulation and experimental photo-elasticity provides both qualitative and quantitative information about the stress field in a polymer composite and particularly along the fibre-matrix…

Materials Science · Physics 2007-05-23 H. Matthias Deuschle , Falk K. Wittel , Henry Gerhard , Gerhard Busse , Bernd-H. Kroeplin

We have realized a hybrid solid-state quantum device in which a single-electron semiconductor double quantum dot is dipole coupled to a superconducting microwave frequency transmission line resonator. The dipolar interaction between the two…

A full three-dimensional Finite-Difference Time-Domain (FDTD)-based toolkit is developed to simulate the whispering gallery modes of a microsphere in the vicinity of a dipole source. This provides a guide for experiments that rely on…

We investigate the possibility of using dielectric microdisk resonators for the optical detection of single atoms trapped and cooled in magnetic microtraps near the surface of a substrate. The bound and evanescent fields of optical…

Quantum Physics · Physics 2009-11-10 Michael Rosenblit , Peter Horak , Steve Helsby , Ron Folman

Quite a few future high precision space missions for testing Special and General Relativity will use optical resonators which are used for laser frequency stabilization. These devices are used for carrying out tests of the isotropy of light…

Classical Physics · Physics 2009-11-11 S. Scheithauer , C. Lämmerzahl

We test methods for the determination of unstable modes in stellar discs: a point collocation scheme in the action sub-space, a scheme based on expansion of the density and potential on the biorthonormal basis, and a finite element method.…

Astrophysics of Galaxies · Physics 2015-06-23 Evgeny Polyachenko , Andreas Just

Continuum robots offer high flexibility and multiple degrees of freedom, making them ideal for navigating narrow lumens. However, accurately modeling their behavior under large deformations and frequent environmental contacts remains…

Robotics · Computer Science 2025-03-11 Hao Chen , Jian Chen , Xinran Liu , Zihui Zhang , Yuanrui Huang , Zhongkai Zhang , Hongbin Liu