International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.ABSTRACT Numerical anisotropy and dispersion are inherent consequences of spatial discretization in finite element modeling of wave propagation. In two‐dimensional problems, these effects manifest not only as direction‐dependent phase and group velocities but also as angularly dependent numerical band gaps that may entirely suppress wave propagation ...
Wiktor Waszkowiak +3 more
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Nanophotonics, Volume 15, Issue 14, 27 July 2026.This study demonstrates, for the first time, a 3D volumetric cylindrical vector beam (CVB) multicasting architecture that employs multichannel array modes with an operational dimension of 3 × 3 × 5 as information carriers. This approach offers substantial potential for high‐capacity information dissemination in mode‐multiplexed communication networks ...
Zhiqiang Xie +8 more
wiley +1 more source
A Hybrid‐High Order Method for Fracture Modelling
International Journal for Numerical Methods in Engineering, Volume 127, Issue 13, 15 July 2026.ABSTRACT In this work we introduce a new Hybrid High‐Order method for the numerical simulation of fracture propagation based on phase‐field models. The proposed method: supports general meshes made of polygonal/polyhedral elements, which provides great flexibility in mesh design and adaptation; can accommodate large variations of both the displacement ...
Alessandra Crippa +4 more
wiley +1 more source
Deep Learning‐Based Phase‐Field Modelling of Brittle Fracture in Anisotropic Media
International Journal for Numerical Methods in Engineering, Volume 127, Issue 13, 15 July 2026.ABSTRACT This work presents a variational physics‐informed deep learning framework for phase‐field modelling of brittle crack propagation in anisotropic media. Previous variational energy‐based neural network (NN) approaches have focused on second‐order, isotropic phase‐field fracture formulations and have relied on fully connected NNs.
Nojus Plungė +3 more
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Application of randomized quadrature formulas to the finite element method for elliptic equations. [PDF]
BIT Numer MathKruse R, Polydorides N, Wu Y.
europepmc +1 more source
Efficient Inference in First Passage Time Models. [PDF]
Stat ComputLiu S, Fengler A, Frank MJ, Harrison MT.
europepmc +1 more source
Correction: Performance of several types of beta-binomial models in comparison to standard approaches for meta-analyses with very few studies. [PDF]
BMC Med Res MethodolFelsch M +5 more
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An Analytical Modeling Study on the Thermal Behavior of Copper-Carbon Nanotube Composite Through-Silicon Via (TSV). [PDF]
Nanomaterials (Basel)Ying K, Liang J.
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Multiplexing and Demultiplexing of Aperture-Modulated OAM Beams. [PDF]
Sensors (Basel)Wang W +6 more
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The geometric role of the time parameter in DNA base-pair genetic information exchange and assembly: applications of Frenet-Serret formulas to circular and elliptical helix models. [PDF]
RSC AdvChen MR +3 more
europepmc +1 more source