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This paper investigates the inverse biharmonic scattering problems of identifying the shape and location of the obstacle with phased and phaseless measurement data. A direct imaging method based on reverse time migration is proposed for…

Analysis of PDEs · Mathematics 2026-05-12 Tielei Zhu , Zhihao Ge

A boundary element method (BEM) simulation is used to compare the efficiency of numerical inverse Laplace transform strategies, considering general requirements of Laplace-space numerical approaches. The two-dimensional BEM solution is used…

Numerical Analysis · Mathematics 2016-07-20 Kristopher L. Kuhlman

We propose a full-wave pseudo-analytical numerical electromagnetic (EM) algorithm to model subsurface induction sensors, traversing planar-layered geological formations of arbitrary EM material anisotropy and loss, which are used, for…

Computational Physics · Physics 2016-04-20 Kamalesh Sainath , Fernando L. Teixeira

We analyze a goal-oriented adaptive algorithm that aims to efficiently compute the quantity of interest $G(u^\star)$ with a linear goal functional $G$ and the solution $u^\star$ to a general second-order nonsymmetric linear elliptic partial…

Numerical Analysis · Mathematics 2024-11-18 Philipp Bringmann , Maximilian Brunner , Dirk Praetorius , Julian Streitberger

The rich spatio-temporal information is crucial to capture the complicated target appearance variations in visual tracking. However, most top-performing tracking algorithms rely on many hand-crafted components for spatio-temporal…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Jinxia Xie , Bineng Zhong , Zhiyi Mo , Shengping Zhang , Liangtao Shi , Shuxiang Song , Rongrong Ji

Sharpness-aware minimization (SAM), which searches for flat minima by min-max optimization, has been shown to be useful in improving model generalization. However, since each SAM update requires computing two gradients, its computational…

Machine Learning · Computer Science 2023-05-01 Weisen Jiang , Hansi Yang , Yu Zhang , James Kwok

The domain integral equation method with its FFT-based matrix-vector products is a viable alternative to local methods in free-space scattering problems. However, it often suffers from the extremely slow convergence of iterative methods,…

Numerical Analysis · Mathematics 2015-03-19 Grigorios P. Zouros , Neil V. Budko

Integrate-and-Fire Time Encoding Machine (IF-TEM) is a power-efficient asynchronous sampler that converts analog signals into non-uniform time-domain samples. Adaptive IF-TEM (AIF-TEM) improves this machine by adapting its process to the…

Signal Processing · Electrical Eng. & Systems 2025-11-05 Vered Karp , Aseel Omar , Alejandro Cohen

This paper is concerned with the adaptive numerical treatment of stochastic partial differential equations. Our method of choice is Rothe's method. We use the implicit Euler scheme for the time discretization. Consequently, in each step, an…

In recent years, several fast solvers for the solution of the Lippmann-Schwinger integral equation that mathematically models the scattering of time-harmonic acoustic waves by penetrable inhomogeneous obstacles, have been proposed. While…

Numerical Analysis · Mathematics 2018-11-14 Ambuj Pandey , Akash Anand

In the frame of volume integral equation methods, we introduce an alternative representation of the electromagnetic field scattered by a homogeneous object of arbitrary shape at a given frequency, in terms of a set of modes independent of…

We consider the numerical solution of the scattering of time-harmonic plane waves from an infinite periodic array of reflection or transmission obstacles in a homogeneous background medium, in two dimensions. Boundary integral formulations…

Mathematical Physics · Physics 2015-06-12 Adrianna Gillman , Alex Barnett

We investigate new developments of the combined Reduced-Basis and Empirical Interpolation Methods (RB-EIM) for parametrized nonlinear parabolic problems. In many situations, the cost of the EIM in the offline stage turns out to be…

Numerical Analysis · Mathematics 2018-04-23 Amina Benaceur , Alexandre Ern , Virginie Ehrlacher , Sébastien Meunier

A deep learning scheme is proposed to solve the electromagnetic (EM) scattering problems where the profile of the dielectric scatterer of interest is incomplete. As a compensation, a limited amount of scattering data is provided, which is…

Computational Engineering, Finance, and Science · Computer Science 2025-05-06 Ji-Yuan Wang , Xin-Yue Lou , Liang Zhang , Yun-Chuan Wang , Xiao-Min Pan

Pretrained vision-language models (VLMs) like CLIP show strong zero-shot performance but struggle with generalization under distribution shifts. Test-Time Adaptation (TTA) addresses this by adapting VLMs to unlabeled test data in new…

Computer Vision and Pattern Recognition · Computer Science 2025-08-11 Hamidreza Dastmalchi , Aijun An , Ali cheraghian

We consider the inverse elastic scattering problems using the far field data due to one incident plane wave. A simple method is proposed to reconstruct the location and size of the obstacle using different components of the far field…

Analysis of PDEs · Mathematics 2019-04-09 J Liu , X. Liu , J. Sun

In this paper, a highly efficient fast boundary element method (BEM) for solving large-scale engineering acoustic problems in a broad frequency range is developed and implemented. The acoustic problems are modeled by the Burton-Miller…

Numerical Analysis · Computer Science 2015-11-16 Yanchuang Cao , Lihua Wen , Jinyou Xiao , Yijun Liu

Conventional full waveform inversion (FWI) using least square distance (LSD) between the observed and predicted seismograms suffers from local minima. Recently, earth mover's distance (EMD) has been introduced to FWI to compute the misfit…

Geophysics · Physics 2018-08-23 Peng Yong , Wenyuan Liao , Jianping Huang , Zhenchun Li , Yaoting Lin

Archival aerial imagery is a source of worldwide very high resolution data for documenting paste 3-D changes. However, external information is required so that accurate 3-D models can be computed from archival aerial imagery. In this…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Denis Feurer , Fabrice Vinatier

Time-domain wave scattering in an unbounded two-dimensional acoustic medium by sound-hard scatterers is considered. Two canonical geometries, namely a split-ring resonator (SRR) and an array of cylinders, are used to highlight the theory,…

Mathematical Physics · Physics 2025-03-28 Ben Wilks , Michael H. Meylan , Fabien Montiel , Sarah Wakes
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