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Consider the elastic scattering of an incident wave by a rigid obstacle in three dimensions, which is formulated as an exterior problem for the Navier equation. By constructing a Dirichlet-to-Neumann (DtN) operator and introducing a…

数值分析 · 数学 2021-01-18 Gang Bao , Peijun Li , Xiaokai Yuan

The analysis of scattering from complex objects using surface integral equations is a challenging problem. Its resolution has wide ranging applications- from crack propagation to diagnostic medicine. The two ingredients of any integral…

计算物理 · 物理学 2016-11-25 Naveen Nair , Balasubramaniam Shanker , Leo Kempel

We consider the time-harmonic elastic wave scattering from a general (possibly anisotropic) inhomogeneous medium with an embedded impenetrable obstacle. We show that the impenetrable obstacle can be effectively approximated by an isotropic…

偏微分方程分析 · 数学 2021-02-19 Zhengjian Bai , Huaian Diao , Hongyu Liu , Qingle Meng

This paper introduces a boundary integral equation for time-harmonic electromagnetic scattering by composite dielectric objects. The formulation extends the classical M\"uller equation to composite structures through the global multi-trace…

数值分析 · 数学 2026-01-21 Van Chien Le , Kristof Cools

A butterfly-based direct combined-field integral equation (CFIE) solver for analyzing scattering from electrically large, perfect electrically conducting objects is presented. The proposed solver leverages the butterfly scheme to compress…

数值分析 · 数学 2017-10-11 Han Guo , Yang Liu , Jun Hu , Eric Michielssen

The regularized D-bar method is a popular method for solving Electrical Impedance Tomography (EIT) problems due to its efficiency and simplicity. It utilizes the low-pass truncated scattering data in the non-linear Fourier domain to solve…

数值分析 · 数学 2025-02-10 Xiang Cao , Qiaoqiao Ding , Xiaoqun Zhang

This paper investigates the problem of time-harmonic acoustic scattering in an inhomogeneous medium with a complex topological structure. Specifically, the medium is anisotropic and contains several disjoint sound-soft obstacles. This model…

数学物理 · 物理学 2025-09-30 Huaian Diao , Qingle Meng , Zhiying Sun

We present a high-order boundary integral equation (BIE) method for the frequency-domain acoustic scattering of a point source by a singly-periodic, infinite, corrugated boundary. We apply it to the accurate numerical study of acoustic…

数值分析 · 数学 2024-03-19 Fruzsina J. Agocs , Alex H. Barnett

Quantum embedding schemes have the potential to significantly reduce the computational cost of first principles calculations, whilst maintaining accuracy, particularly for calculations of electronic excitations in complex systems. In this…

材料科学 · 物理学 2022-03-10 Joseph C. A. Prentice

In this paper we propose an explicit two-level conservative scheme based on a TE/TM like splitting of the field components in time. Its dispersion properties are adjusted to accelerator problems. It is simpler and faster than the implicit…

计算物理 · 物理学 2009-04-27 M. Dohlus , I. Zagorodnov

The emerging space-air-ground integrated network has attracted intensive research and necessitates reliable and efficient aeronautical communications. This paper investigates terahertz Ultra-Massive (UM)-MIMO-based aeronautical…

信息论 · 计算机科学 2021-03-04 Anwen Liao , Zhen Gao , Dongming Wang , Hua Wang , Hao Yin , Derrick Wing Kwan Ng , Mohamed-Slim Alouini

State estimation in complex illumination environments based on conventional visual-inertial odometry is a challenging task due to the severe visual degradation of the visual camera. The thermal infrared camera is capable of all-day time and…

机器人学 · 计算机科学 2022-10-25 Yu Wang , Haoyao Chen , Yufeng Liu , Shiwu Zhang

The implementation of the discrete adjoint method for exponential time differencing (ETD) schemes is considered. This is important for parameter estimation problems that are constrained by stiff time-dependent PDEs when the discretized PDE…

最优化与控制 · 数学 2016-10-11 Kai Rothauge , Eldad Haber , Uri Ascher

An isogeometric boundary element method (BEM) is presented to solve scattering problems in an isotropic homogeneous medium. We consider wave problems governed by the scalar wave equation as in acoustics and the Lam\'e-Navier equations for…

计算工程、金融与科学 · 计算机科学 2025-10-09 Thomas Kramer , Benjamin Marussig , Martin Schanz

Transformer-based Diffusion Probabilistic Models (DPMs) have shown more potential than CNN-based DPMs, yet their extensive computational requirements hinder widespread practical applications. To reduce the computation budget of…

计算机视觉与模式识别 · 计算机科学 2024-11-01 Xinwang Chen , Ning Liu , Yichen Zhu , Feifei Feng , Jian Tang

Surface integral equations (SIEs)-based boundary element methods are widely used for analyzing electromagnetic scattering scenarii. However, after discretization of SIEs, the spectrum and eigenvectors of the boundary element matrices are…

数值分析 · 数学 2025-05-19 Rui Chen , Adrien Merlini , Francesco P. Andriulli

This paper presents a fast high-order method for the solution of two-dimensional problems of scattering by penetrable inhomogeneous media, with application to high-frequency configurations containing (possibly) discontinuous refractivities.…

数值分析 · 数学 2023-07-31 Oscar P. Bruno , Ambuj Pandey

Maxwell equations describe the propagation of electromagnetic waves and are therefore fundamental to understanding many problems encountered in the study of antennas and electromagnetics. The aim of this paper is to propose and analyse an…

数值分析 · 数学 2022-10-13 Bin Wang , Yaolin Jiang

In many Direct and Inverse Scattering problems one has to use a parameter-fitting procedure, because analytical inversion procedures are often not available. In this paper a variety of such methods is presented with a discussion of…

数值分析 · 数学 2007-05-23 Alexander G. Ramm , Semion Gutman

In this paper, we consider an inverse electromagnetic medium scattering problem of reconstructing unknown objects from time-dependent boundary measurements. A novel time-domain direct sampling method is developed for determining the…

数值分析 · 数学 2024-10-11 Chen Geng , Minghui Song , Xianchao Wang , Yuliang Wang