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The phase field model is a widely used mathematical approach for describing crack propagation in continuum damage fractures. In the context of phase field fracture simulations, adaptive finite element methods (AFEM) are often employed to…

Numerical Analysis · Mathematics 2025-05-30 Tian Tian , Chen Chunyu , He Liang , Wei Huayi

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

The problem of quasistatic and rate-independent evolution of elastic-plastic-brittle delamination at small strains is considered. Delamination processes for linear elastic bodies glued by an adhesive to each other or to a rigid outer…

Numerical Analysis · Mathematics 2012-12-12 C. G. Panagiotopoulos , V. Mantic , T. Roubicek

A novel fabrication method for soft x-ray transmission grating and other optical elements is presented. The method uses Focused-Ion-Beam (FIB) technology to fabricate high-quality free standing grating bars on Transmission Electron…

Optics · Physics 2015-06-05 G. Hurvitz , Y. Ehrlich , G. Strum , Z. Shpilman , I. Levy , M. Fraenkel

A novel boundary element method (BEM) removes the classical dependence on explicit fundamental solutions and extends quasi-optimal BEM discretisations to strongly elliptic operators with variable coefficients. The approach constructs a…

Numerical Analysis · Mathematics 2026-05-22 Benedikt Gräßle , Stefan A. Sauter

This paper presents and compares three analytical methods for calculating low frequency band gap boundaries in doubly periodic arrays of resonating thin elastic shells. It is shown that both lattice sum expansions in the vicinity of its…

Mathematical Physics · Physics 2015-06-05 Anton Krynkin , Olga Umnova , Shahram Taherzadeh , Keith Attenborough

We present the design and implementation details of a geometric multigrid method on adaptively refined meshes for massively parallel computations. The method uses local smoothing on the refined part of the mesh. Partitioning is achieved by…

Numerical Analysis · Computer Science 2021-08-04 Thomas C. Clevenger , Timo Heister , Guido Kanschat , Martin Kronbichler

Space-time materials are obtained by modulating a physical medium with a traveling-wave perturbation of one or several of its constitutive parameters, such as the density or the bulk modulus in the case of acoustic materials. When this…

Materials Science · Physics 2026-02-10 J. Galiana , J. Redondo , R. Picó , V. J. Sánchez-Morcillo

In this work a novel method for the analysis with trimmed CAD surfaces is presented. The method involves an additional mapping step and the attraction stems from its sim- plicity and ease of implementation into existing Finite Element (FEM)…

Numerical Analysis · Computer Science 2015-01-28 Gernot Beer , Benjamin Marussig , Jürgen Zechner

This work continues the development of the raytracing method of [1] for computing the scattered fields from metasurfaces characterized by locally periodic reflection and transmission coefficients. In this work, instead of describing the…

Optics · Physics 2022-02-16 Scott Stewart , Yvo L. C. de Jong , Tom J. Smy , Shulabh Gupta

The hybrid numerical-asymptotic (HNA) approach aims to reduce the computational cost of conventional numerical methods for high frequency wave scattering problems by enriching the numerical approximation space with oscillatory basis…

Numerical Analysis · Mathematics 2015-07-08 David P. Hewett

In this work, we designed and studied a feasible dual-layer binary metagrating, which can realize controllable asymmetric transmission and beam splitting with nearly perfect performance. Owing to ingenious geometry configuration, only one…

Applied Physics · Physics 2020-06-18 Yangyang Fu , Jiaqi Tao , Ailing Song , Youwen Liu , Yadong Xu

Engineering structures are increasingly designed using numerical optimisation. However, traditional optimisation methods can be challenging with multiple objectives and many parameters. In machine learning, stable training of artificial…

Computational Engineering, Finance, and Science · Computer Science 2026-04-24 James Hipperson , Jonathan Hargreaves , Trevor Cox

This work illustrates the possibility to apply the Fast Fourier Transformation to obtain the integrals of the Boundary Element Method (BEM) on arbitrary shapes. The procedure is inspired by the technique used with great success within the…

Computational Physics · Physics 2018-09-05 Justus Benad

The physical properties of a periodic distribution of absorbent resonators is used in this work to design a tunable wideband bandstop acoustic filter. Analytical and numerical simulations as well as experimental validations show that the…

Materials Science · Physics 2015-05-27 V. Romero-García , J. V. Sánchez-Pérez , L. M. Garcia-Raffi

In this paper we propose and analyze a fully discrete method for a direct boundary integral formulation of the scattering of a transient acoustic wave by a sound-soft obstacle. The method uses Galerkin-BEM in the space variables and three…

Numerical Analysis · Mathematics 2013-01-03 Lehel Banjai , Antonio Laliena , Francisco-Javier Sayas

We present heterodyne detected transient grating (HD-TG) measurements on 1D surface corrugated Phononic Crystal (PC) with characteristic band edge wave vector of $\pi/5$ $\mu$m$^{-1}$. This experimental investigation enables both the direct…

Mesoscale and Nanoscale Physics · Physics 2011-06-01 I. Malfanti , A. Taschin , P. Bartolini , B. Bonello , R. Torre

Thermal energy atom scattering at a surface with grazing incidence conditions is an innovative method for investigating dispersive atom-surface interactions with potential application in quantum sensing interferometry. The complete…

Atomic Physics · Physics 2024-07-16 Lee Yeong Kim , Do Won Kang , Jong Chan Lee , Eunmi Chae , Wieland Schöllkopf , Bum Suk Zhao

We present a new method to compute resonance Raman spectra based on ab initio level calculations using the frequency-dependent Placzek approximation. We illustrate the efficiency of our hybrid quantum-classical method by calculating the…

Other Condensed Matter · Physics 2019-04-09 Gergő Kukucska , Viktor Zólyomi , János Koltai

We propose an autoencoding sequence-based transceiver for communication over dispersive channels with intensity modulation and direct detection (IM/DD), designed as a bidirectional deep recurrent neural network (BRNN). The receiver uses a…

Information Theory · Computer Science 2019-07-24 Boris Karanov , Domaniç Lavery , Polina Bayvel , Laurent Schmalen