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Unified Regularization of 2D Singular Integrals for Axisymmetric Galerkin BEM in Eddy-Current Evaluation

arXiv:2601.19542v2 Announce Type: replace Abstract: This paper presents an axisymmetric Galerkin boundary element method (BEM) for modeling eddy-current interactions between excitation coils and conductive objects. The formulation derives boundary integral equations from the Stratton-Chu representation for the azimuthal component of the vector potential in both air and conductive regions. The central contribution is a unified regularization framework for the two-dimensional (2D) singular...

arXiv CS 2d ago

Unified Regularization of 2D Singular Integrals for Axisymmetric Galerkin BEM in Eddy-Current Evaluation

arXiv:2601.19542v2 Announce Type: replace-cross Abstract: This paper presents an axisymmetric Galerkin boundary element method (BEM) for modeling eddy-current interactions between excitation coils and conductive objects. The formulation derives boundary integral equations from the Stratton-Chu representation for the azimuthal component of the vector potential in both air and conductive regions. The central contribution is a unified regularization framework for the two-dimensional (2D)...

arXiv Physics 2d ago

Margin Play: A Multi-Agent System For Public Policy Analysis In The Brazilian Equatorial Margin

new Abstract: The Brazilian Equatorial Margin (BEM) is Brazil's next offshore oil frontier, with operations expected to begin in 2026 in the Foz do Amazonas basin. Its assets are fiscally and territorially linked primarily to Maranhao -- the state with the lowest HDI in the Federation (0.676, IBGE 2022). This raises the central policy question: under what conditions does BEM exploration generate net positive externalities for Maranhao?

arXiv CS 7d ago

Matrix structure and convergence behaviour of the matched eigenfunction method for computing heave wave forces on generalized concentric bodies

arXiv:2605.19730v2 Announce Type: replace Abstract: Structural survival of offshore structures is crucial for the growing marine economy. Calculating the added mass, radiation damping, and excitation coefficients to quantify wave loads with the traditional boundary element method (BEM) presents a computational bottleneck. The matched eigenfunction expansion method (MEEM), a long-known but rarely-used alternative, offers computational benefits due to its semi-analytical nature.

arXiv Physics 8d ago

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...

arXiv CS 2d ago

Omega-3 fish oil shows promise against type 2 diabetes

Omega-3 fish oil shows promise against type 2 diabetes Fish oil may help switch off inflammation-driven insulin resistance—even in type 2 diabetes patients who aren't overweight. - Date: - May 31, 2026 - Source: - São Paulo Research Foundation (FAPESP) - Summary: - A new study suggests fish oil may help reduce insulin resistance even in people who aren't obese.

Science Daily 10d ago