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In this paper we analyze a space-time unfitted finite element method for the discretization of scalar surface partial differential equations on evolving surfaces. For higher order approximations of the evolving surface we use the technique…

数值分析 · 数学 2024-11-26 Arnold Reusken , Hauke Sass

Consider the scattering of a time-harmonic acoustic incident wave by a bounded, penetrable, and isotropic elastic solid, which is immersed in a homogeneous compressible air or fluid. The paper concerns the numerical solution for such an…

数值分析 · 数学 2017-03-10 Xue Jiang , Peijun Li

Acoustic scattering by vehicle surfaces can have significant effects on overall noise levels. In this paper, we present a space-time Galerkin time-domain boundary element method (TDBEM) that offers several distinct advantages over…

数值分析 · 数学 2026-03-06 Maks Groom , Beckett Zhou

This paper considers the inverse problem of scattering of time-harmonic acoustic and electromagnetic plane waves by a bounded, inhomogeneous, penetrable obstacle with embedded objects inside. A new method is proposed to prove that the…

偏微分方程分析 · 数学 2017-06-14 Jiaqing Yang , Bo Zhang , Haiwen Zhang

We present an efficient and precise framework to quantum simulate the dynamics of the ultra-relativistic quark-nucleus scattering. This framework employs the eigenbasis of the asymptotic scattering system and implements a compact scheme for…

量子物理 · 物理学 2024-09-25 Sihao Wu , Weijie Du , Xingbo Zhao , James P. Vary

In this paper, we consider the scattering of a time-dependent electromagnetic wave by an elastic body immersed in the lower half-space of a two-layered background medium which is separated by an unbounded rough surface. By proposing two…

偏微分方程分析 · 数学 2021-02-04 Changkun Wei , Jiaqing Yang , Bo Zhang

A methodology of adaptive time series analysis based on Empirical Mode Decomposition (EMD) has been employed to investigate $^{7}$Be activity concentration variability, along with temperature. Analysed data were sampled at ground level by…

地球物理 · 物理学 2019-05-22 Alessandro Longo , Stefano Bianchi , Wolfango Plastino

A discontinuous Galerkin time-domain (DGTD) method based on dynamically adaptive Cartesian meshes (ACM) is developed for a full-wave analysis of electromagnetic fields in dispersive media. Hierarchical Cartesian grids offer simplicity close…

计算物理 · 物理学 2017-06-28 Su Yan , Chao-Ping Lin , Robert R. Arslanbekov , Vladimir I. Kolobov , Jian-Ming Jin

An FFT-based algorithm is developed to simulate the propagation of elastic waves in heterogeneous $d$-dimensional rectangular shape domains. The method allows one to prescribe the displacement as a function of time in a subregion of the…

数值分析 · 数学 2022-12-21 R. Sancho , V. Rey de Pedraza , P. Lafourcade , R. A. Lebensohn , J. Segurado

We present a numerical approach to the solution of elastic phonon scattering problems based on a frequency domain decomposition of the atomistic equations of motion and the use of perfectly matched layer or PML boundaries. Unlike MD…

介观与纳米尺度物理 · 物理学 2017-01-27 Rohit R. Kakodkar , Joseph P. Feser

We propose a method for test-time adaptation of pretrained depth completion models. Depth completion models, trained on some ``source'' data, often predict erroneous outputs when transferred to ``target'' data captured in novel…

计算机视觉与模式识别 · 计算机科学 2025-08-21 Younjoon Chung , Hyoungseob Park , Patrick Rim , Xiaoran Zhang , Jihe He , Ziyao Zeng , Safa Cicek , Byung-Woo Hong , James S. Duncan , Alex Wong

The robustness of dynamical systems against external perturbations is crucial in engineering; however, it is often overlooked for the lack of methods for rapidly computing it. This paper proposes a novel algorithm for estimating the…

动力系统 · 数学 2023-06-27 Bence Szaksz , Gabor Stepan , Giuseppe Habib

In this study we construct a time-space finite element (FE) scheme and furnish cost-efficient approximations for one-dimensional multi-term time fractional advection diffusion equations on a bounded domain $\Omega$. Firstly, a fully…

数值分析 · 数学 2017-08-08 Xiaoqiang Yue , Yehong Xu , Shi Shu , Menghuan Liu , Weiping Bu

Electrical impedance tomography (EIT) is a noninvasive imaging method whereby electrical measurements on the boundary of a conductive medium (the data) are taken according to a prescribed protocol set and inverted to map the internal…

We present an efficient and systematically convergent approach to all-electron real-time time-dependent density functional theory (TDDFT) calculations using a mixed basis, termed as enriched finite element (EFE) basis. The EFE basis…

化学物理 · 物理学 2022-10-27 Bikash Kanungo , Nelson D. Rufus , Vikram Gavini

An extremely fast time-harmonic finite element solver developed for the transmission analysis of photonic crystals was applied to mask simulation problems. The applicability was proven by examining a set of typical problems and by a…

光学 · 物理学 2009-05-28 S. Burger , R. Köhle , L. Zschiedrich , W. Gao , F. Schmidt , R. März , C. Nölscher

We explore the class of exponential integrators known as exponential time differencing (ETD) method in this letter to design low complexity nonlinear Fourier transform (NFT) algorithms that compute discrete approximations of the scattering…

计算物理 · 物理学 2019-08-27 Vishal Vaibhav

The scattering of electromagnetic pulses is described using a non-singular boundary integral method to solve directly for the field components in the frequency domain, and Fourier transform is then used to obtain the complete space-time…

光学 · 物理学 2023-07-19 Evert Klaseboer , Qiang Sun , Derek Y. C. Chan

In Spectrally Efficient Frequency Division Multiplexing systems the input data stream is divided into several adjacent subchannels where the distance of the subchannels is less than that of Orthogonal Frequency Division…

信息论 · 计算机科学 2013-04-16 Seyed Javad Heydari , Mahmoud Ferdosizade Naeiny , Farokh Marvasti

The Half-Space Matching (HSM) method has recently been developed as a new method for the solution of 2D scattering problems with complex backgrounds, providing an alternative to Perfectly Matched Layers (PML) or other artificial boundary…