Helmholtz
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Related Articles from SNS
High-Frequency Preconditioners for Electromagnetic Integral Equations Based on Helmholtz Regularizations
arXiv:2606.07427v1 Announce Type: new Abstract: The numerical solution of the Electric Field Integral Equation (EFIE) via the Boundary Element Method (BEM) can be computationally challenging due to conditioning issues arising in different regimes, such as (i) when the frequency decreases and the discretization density remains constant, (ii) when the frequency is kept constant while the discretization is refined, and (iii) when the frequency increases along with the discretization density. To...
Wave propagation and scattering in time dependent media: Lippmann-Schwinger equations, multiple scattering theory, Kirchhoff Helmholtz integrals, Green's functions, reciprocity theorems and Huygens' principle
Announce Type: replace Abstract: Wave scattering plays a central role for the modeling of complex wave propagation across all corners of science and engineering applications, including electromagnetic, acoustics, seismic and scattering physics. Wave control using time interfaces, where the properties of the medium through with the wave travels rapidly change in time, has opened further opportunities to control wave propagation in both space and time. For acoustic waves, studies on time...
Multiscale Fourier Neural Operator for Inverse Wave Scattering in Highly Oscillatory Media
Announce Type: new Abstract: In this paper, we propose an operator learning method based on the multiscale Fourier neural operator (MscaleFNO) for inverse medium problems of Helmholtz equations. The MscaleFNO provides a neural surrogate model with reduced spectral bias for the Helmholtz equations, mapping highly oscillatory medium profiles to scattered wavefields. A plug-and-play inversion using elucidated diffusion model is introduced to regularize the inverse solver based on least squares...
Scientists discover a hidden quantum world inside cobalt
Scientists discover a hidden quantum world inside cobalt - Date: - June 5, 2026 - Source: - Helmholtz-Zentrum Berlin - Summary: - Scientists have uncovered unexpected quantum complexity inside cobalt, a metal long thought to be fully understood. Advanced measurements revealed a dense network of topological electronic states that remain robust at room temperature. These states enable extremely fast electron behavior and can be switched or controlled using magnetism.
Low-Rank Acceleration of the Operator Fourier Transform
arXiv:2606.09689v1 Announce Type: new Abstract: We develop a numerical algorithm for the efficient solution or approximation of solutions to the Helmholtz equation on a structured grid in two dimensions. We make use of the Operator Fourier Transform (OFT) and a low-rank cross approximation scheme (Cross-DEIM) to decompose the problem into an integral over a pseudo-time of solutions to the Schr\"odinger equation. The OFT is a framework for solving operator equations like fractional Laplacian...
Reactive Flux Matching: Mechanism Discovery and Adaptive Sampling of Rare Events
Announce Type: new Abstract: Path sampling methods generate ensembles of reactive trajectories connecting metastable states, but extracting mechanistic insight from these data remains nontrivial. We introduce Flux Matching, a framework that learns two complementary objects directly from reactive trajectory data: a current velocity $u(z)$, whose streamlines trace the dominant reaction pathways, and a scalar potential $h(z)$, obtained from a weighted Helmholtz-Hodge decomposition of the...
Reactive Flux Matching: Mechanism Discovery and Adaptive Sampling of Rare Events
Announce Type: cross Abstract: Path sampling methods generate ensembles of reactive trajectories connecting metastable states, but extracting mechanistic insight from these data remains nontrivial. We introduce Flux Matching, a framework that learns two complementary objects directly from reactive trajectory data: a current velocity $u(z)$, whose streamlines trace the dominant reaction pathways, and a scalar potential $h(z)$, obtained from a weighted Helmholtz-Hodge decomposition of the...
Direct reconstruction for acoustic inverse Born scattering
Announce Type: new Abstract: We consider the inverse medium scattering problem for the Helmholtz equation in two dimensions, i.e., the task to recover a compactly supported penetrable two-dimensional scatterer from full knowledge of the associated far field data or, equivalently, the far field operator. Although this problem is uniquely solvable, it is severely ill-posed and nonlinear. In the regime of weak scattering, the Born approximation yields a linearized relation between the contrast...
A Unified Framework for Structured Flow Modeling: From Continuous Fields to Data-Driven Representations
arXiv:2605.18250v2 Announce Type: replace-cross Abstract: Many dynamical systems can be described in terms of structured flows combining source/sink behavior, cyclic dynamics, and topology-constrained transport. These features arise across a wide range of domains, including physical, engineered, and data-driven systems. This work provides a unified perspective on such systems by connecting continuous formulations based on the Helmholtz-Hodge decomposition with discrete and data-driven...
Drag and Yielding of Rotating Bodies in Yield-Stress Fluids
arXiv:2606.04861v1 Announce Type: new Abstract: We investigate the settling dynamics of rotating objects in a yield stress fluid by combining controlled experiments with numerical simulations. Experiments were conducted using cylinders and spheres of varying surface roughness, rotated within a Helmholtz coil and immersed in a Carbopol based yield stress fluid.