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Non-local effects in the optical response of noble metals are shown to produce significant blueshift and near-field quenching of plasmons in nanoparticle dimers, nanoshells, and thin metal waveguides. Compared with a local description…

Other Condensed Matter · Physics 2012-11-13 F. Javier Garcia de Abajo

Within our recently proposed generalized nonlocal optical response (GNOR) model, we revisit the fundamental problem of an optically excited plasmonic dimer. The dimer consists of two identical cylinders separated by a nanometre-sized gap.…

We apply the hp-version of the boundary element method (BEM) for the numerical solution of the electric field integral equation (EFIE) on a Lipschitz polyhedral surface G. The underlying meshes are supposed to be quasi-uniform…

Numerical Analysis · Mathematics 2010-10-08 Alexei Bespalov , Norbert Heuer

This paper tests a dielectric model for variation of hydration free energy with geometry of complex solutes in water. It works out some basic aspects of the theory of boundary integral methods for these problems. One aspect of the…

chem-ph · Physics 2008-02-03 L. R. Pratt , G. J. Tawa , G. Hummer , A. E. Garcia , S. A. Corcelli

Nonlocal effects have been shown to be responsible for a variety of non-trivial optical effects in small-size plasmonic nanoparticles, beyond classical electrodynamics. However, it is not clear whether optical mode descriptions can be…

We present a hybrid numerical-asymptotic (HNA) boundary element method (BEM) for high frequency scattering by two-dimensional screens and apertures, whose computational cost to achieve any prescribed accuracy remains bounded with increasing…

Numerical Analysis · Mathematics 2020-04-03 Andrew Gibbs , David Hewett , Daan Huybrechs , Emile Parolin

This paper presents an asymptotically compatible error bound for the finite element method (FEM) applied to a nonlocal diffusion model. The analysis covers two scenarios: meshes with and without shape regularity. For shape-regular meshes,…

Numerical Analysis · Mathematics 2025-06-06 Yanzun Meng , Zuoqiang Shi

The effect of smooth shape changes of metallic nanoparticles on localized surface plasmon resonances is assessed with a boundary integral equation method. The boundary integral equation method allows compact expressions of nanoparticle…

Mesoscale and Nanoscale Physics · Physics 2013-02-19 Titus Sandu

Numerical homogenization and multiscale finite element methods construct effective properties on a coarse grid by solving local problems and extracting the average effective properties from these local solutions. In some cases, the…

Numerical Analysis · Mathematics 2016-06-21 Eric T. Chung , Yalchin Efendiev , Wing Tat Leung , Maria Vasilyeva

The optical response of a coupled nanowire dimer is studied using a fully quantum mechanical approach. The translational invariance of the system allows to apply the time--dependent density functional theory for the plasmonic dimer with the…

Optics · Physics 2013-02-15 T. V. Teperik , P. Nordlander , J. Aizpurua , A. G. Borisov

We present a boundary-spheropolygon element method (BSEM), that combines the boundary integral method (BIM) and the spheropolygon-based discrete element method (SEM). The interaction between particles is simulated via the SEM, and the…

Soft Condensed Matter · Physics 2019-02-06 Yupeng Jiang , Hans J. Herrmann , Fernando Alonso-Marroquin

We propose a 2D graphene structure containing atomic ensemble as a platform for implementing nanoscale enhanced coherent interactions of plasmonic fields with resonant atomic systems. We determine the graphene surface plasmon modes, and the…

Optics · Physics 2025-07-17 Ali A. Kamli , Sergey A. Moiseev

In this work we provide a new direct and non-numerical technique to obtain the surface Green's functions for three-dimensional systems. This technique is based on the ideas presented in Phys. Rev. B 100, 081106(R), in which we start with an…

Mesoscale and Nanoscale Physics · Physics 2020-03-11 Sarah Pinon , Vardan Kaladzhyan , Cristina Bena

We consider the variational formulation of the electric field integral equation (EFIE) on bounded polyhedral open or closed surfaces. We employ a conforming Galerkin discretization based on div-conforming Raviart-Thomas boundary elements…

Numerical Analysis · Mathematics 2009-07-31 Alexei Bespalov , Norbert Heuer , Ralf Hiptmair

The interaction between thin structures and incompressible Newtonian fluids is ubiquitous both in nature and in industrial applications. In this paper we present an isogeometric formulation of such problems which exploits a boundary…

Numerical Analysis · Mathematics 2017-02-17 Luca Heltai , Josef Kiendl , Antonio DeSimone , Alessandro Reali

In this paper, we propose an efficient parallelization strategy for boundary element method (BEM) solvers that perform the electromagnetic analysis of structures with lossy conductors. The proposed solver is accelerated with the adaptive…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-30 Damian Marek , Shashwat Sharma , Piero Triverio

We present a multiscale quantum mechanics/classical (QM/MM) approach for modeling surface-enhanced infrared absorption (SEIRA) spectra of molecules adsorbed on plasmonic nanostructures. The molecular subsystem is described at the density…

Chemical Physics · Physics 2025-11-05 Sveva Sodomaco , Piero Lafiosca , Tommaso Giovannini , Chiara Cappelli

Understanding light-matter interactions using localized surface plasmons (LSPs) is of fundamental interest in classical and quantum plasmonics and has a wide range of applications. In order to understand the spatial properties of LSPs,…

Mesoscale and Nanoscale Physics · Physics 2016-03-22 Rong-Chun Ge , Stephen Hughes

This paper investigates two FEM-BEM coupling formulations for acoustic fluid-structure interaction (FSI) problems, using the Finite Element Method (FEM) to model the structure and the Boundary Element Method (BEM) to represent a linear…

Numerical Analysis · Mathematics 2025-02-04 Luis Rodríguez-Tembleque , José A. González , Antonio Cerrato

The velocity and trajectory of particle moving along the corrugated (rough) surface under action of gravity is obtained by meshless Boundary Singularity Method (BSM). This physical situation is found often in biological systems and…

Fluid Dynamics · Physics 2025-09-09 Alex Povitsky