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The physics of bound states in the continuum (BICs) allows to design and demonstrate optical resonant structures with large values of the quality factor ($Q$-factor) by employing dielectric structures with low losses. However, BIC is a…

光学 · 物理学 2023-11-23 Yao Liang , Din Ping Tsai , Yuri Kivshar

This work presents a robust and efficient sharp interface immersed boundary (IBM) framework, which is applicable for all-speed flow regimes and is capable of handling arbitrarily complex bodies (stationary or moving). The work deploys an…

计算物理 · 物理学 2021-01-22 Pradeep Kumar Seshadri , Ashoke De

Within the framework of the T-matrix method, we present a modeling tool that predicts the optical response from the Nanosphere-on-Mirror (NSoM) construct. The nonclassical effects in metals are accounted for by the nonlocal hydrodynamic…

介观与纳米尺度物理 · 物理学 2024-04-08 Xiaotian Yan , Christos Tserkezis , N. Asger Mortensen , Guy A. E. Vandenbosch , Xuezhi Zheng

We present a coupling of the Finite Element and the Boundary Element Method in an isogeometric framework to approximate either two-dimensional Laplace interface problems or boundary value problems consisting in two disjoint domains. We…

数值分析 · 数学 2020-07-24 Mehdi Elasmi , Christoph Erath , Stefan Kurz

This paper presents an improved immersed moving boundary model (IBM) for solving complex fluid-particle interactions in a coupled lattice Boltzmann method (LBM) and an adhesive discrete element method (DEM), using the "partially saturated…

软凝聚态物质 · 物理学 2020-10-21 Wenwei Liu , Chuan-Yu Wu

Accurate and efficient simulation of fluid-structure interaction (FSI) problems remains a central challenge in computational physics. High-order discontinuous Galerkin (DG) methods offer low numerical errors and excellent scalability on…

流体动力学 · 物理学 2025-12-08 Yingjie Xia , Stefano Colombo , David Huergo , Jiaqing Kou , Yuting Dai , Esteban Ferrer

In this paper, we are concerned with the numerical treatment of boundary integral equations by means of the adaptive wavelet boundary element method (BEM). In particular, we consider the second kind Fredholm integral equation for the double…

数值分析 · 数学 2016-10-10 Stephan Dahlke , Helmut Harbrecht , Manuela Utzinger , Markus Weimar

This paper presents eigensolution and non-modal analyses for immersed boundary methods (IBMs) based on volume penalization for the linear advection equation. This approach is used to analyze the behavior of flux reconstruction (FR)…

The Intrinsic Surface Finite Element Method (ISFEM) was recently proposed to solve Partial Differential Equations (PDEs) on surfaces. ISFEM proceeds by writing the PDE with respect to a local coordinate system anchored to the surface and…

数值分析 · 数学 2024-10-08 Elena Bachini , Mario Putti

In this paper, we discuss the application of Generalized Multiscale Finite Element Method (GMsFEM) to elasticity equation in heterogeneous media. Our applications are motivated by elastic wave propagation in subsurface where the subsurface…

数值分析 · 数学 2014-08-27 Eric T. Chung , Yalchin Efendiev , Shubin Fu

A combined analytical and numerical study of the modes in two distinct plasmonic nanowire systems is presented. The computations are based on a Discontinuous Galerkin Time-Domain approach and a fully nonlinear and nonlocal hydrodynamic…

光学 · 物理学 2018-02-26 M. Moeferdt , T. Kiel , T. Sproll , F. Intravaia , K. Busch

After the discovery of GMR by Fert and Gr\"unberg, electronics had a breakthrough with the birth of a new branch called spintronics. This discipline, while still young, exploits the spin of electrons. Most quantum devices exploiting this…

介观与纳米尺度物理 · 物理学 2015-01-27 Yann Claveau

The boundary element method (BEM) provides an efficient numerical framework for solving multiple scattering problems in unbounded homogeneous domains, since it reduces the discretization to the domain boundaries, thereby condensing the…

机器学习 · 计算机科学 2025-12-03 Rémi Marsal , Stéphanie Chaillat

In this article, we present a new unified finite element method (UFEM) for simulation of general Fluid-Structure interaction (FSI) which has the same generality and robustness as monolithic methods but is significantly more computationally…

计算工程、金融与科学 · 计算机科学 2016-08-18 Yongxing Wang , Peter Jimack , Mark Walkley

The peridynamic theory brings advantages in dealing with discontinuities, dynamic loading, and non-locality. The integro-differential formulation of peridynamics poses challenges to numerical solutions of complicated and practical problems.…

数值分析 · 数学 2021-06-01 Xue Liang , Linjuan Wang , Jifeng Xu , Jianxiang Wang

The directional control of light in miniaturized plasmonic waveguides holds appealing possibilities for emerging nanophotonic technologies, but is hindered by the intrinsic reciprocal optical response of conventional plasmonic materials.…

介观与纳米尺度物理 · 物理学 2026-02-05 Álvaro Rodríguez Echarri , F. Javier García de Abajo , Joel D. Cox

The structure and function of biological molecules are strongly influenced by the water and dissolved ions that surround them. This aqueous solution (solvent) exerts significant electrostatic forces in response to the biomolecule's…

数值分析 · 数学 2015-12-29 Matthew G. Knepley , Jaydeep P. Bardhan

Semiconductor-based plasmonic nanostructures support localized surface plasmon modes in the infrared region. Unlike metallic nanostructures, they support both free electrons and holes, requiring a two-fluid hydrodynamic Drude equation (HDE)…

光学 · 物理学 2026-05-01 Doolos Aibek Uulu , Meruyert Khamitova , Rui Chen , Liang Chen , Ping Li , Hakan Bagci

The paper is concerned with the development of efficient and accurate solution procedures for the isogeometric boundary element method (BEM) when applied to problems that contain inclusions that have elastic properties different to the…

数值分析 · 数学 2020-10-28 Gernot Beer , Eugenio Ruocco , Christian Duenser , Vincenzo Mallardo

We present an analytical description of the nonlocal optical response of plasmonic nanowire metamaterials that enable negative refraction, subwavelength light manipulation, and emission lifetime engineering. We show that dispersion of…

光学 · 物理学 2014-01-13 Brian M. Wells , Anatoly V. Zayats , Viktor A. Podolskiy