Results 61 to 70 of about 1,299,133 (276)

Methodological derivation of the eikonal equation

Discrete and Continuous Models and Applied Computational Science, 2023
Usually, when working with the eikonal equation, reference is made to its derivation in the monograph by Born and Wolf. The derivation of this equation was done rather carelessly.
Arseny V. Fedorov, Christina A. Stepa, Anna V. Korolkova, Migran N. Gevorkyan, Dmitry S. Kulyabov   +4 more
doaj   +1 more source

A Lightweight Procedural Layer for Hybrid Experimental–Computational Workflows in Materials Science

Advanced Engineering Materials, EarlyView.
We unveil a prototype hybrid‐workflow framework that fuses automatedcomputation with hands‐on experiments. Built atop pyiron, a lightweight, parameterized layer translates procedure descriptions into executable manual steps, syncing instrument settings, human interventions, and data capture in real‐time today.
Steffen Brinckmann, Sarath Menon, Raphael Röske, Johannes Steinhülb, Michael Selzer, Jan Janssen, Tilmann Hickel, Ruth Schwaiger, Jörg Neugebauer   +8 more
wiley   +1 more source

Boundary Value Problems for the Three-Dimensional Helmholtz Equation in the Unbounded Octant, Square and Half Space

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
At present, the results of the study of boundary value problems for the two-dimensional Helmholtz equation with one and two singular coefficients are known.
Arzikulov, Z.O.
doaj   +1 more source

Numerical solution to the Complex 2D Helmholtz Equation based on Finite Volume Method with Impedance Boundary Conditions

Open Physics, 2016
In this paper, the numerical solution to the Helmholtz equation with impedance boundary condition, based on the Finite volume method, is discussed. We used the Robin boundary condition using exterior points.
Handlovičová Angela, Riečanová Izabela   +1 more
doaj   +1 more source

Cryogenic Deformation Behavior of TiAl and Insights Into Embrittlement After High‐Temperature Exposure Combined With Secondary Ion Mass Spectroscopy of Near Surface Chemistry

Advanced Engineering Materials, EarlyView.
Near‐surface deuterium enrichment profiles for different microstructural types of TiAl after exposure at 700 °C in a heavy water‐containing environment. The deuterium levels are significantly higher than expected from natural occurrence, indicating that the heavy water dissociated during the exposure treatment and entered the specimens.
Jonathan D. H. Paul, Alexander Welle, Dirk Matthiessen, Michael Oehring, Fritz Appel, Florian Pyczak   +5 more
wiley   +1 more source

High Frequency limit of the Helmholtz Equations

Revista Matemática Iberoamericana, 2002
We derive the high frequency limit of the Helmholtz equations in terms of quadratic observables. We prove that it can be written as a stationary Liouville equation with source terms. Our method is based on the Wigner Transform, which is a classical tool for evolution dispersive equations.
Benamou, Jean-David, Castella, François, Katsaounis, Thodoros, Perthame, Benoît   +3 more
openaire   +5 more sources

Atom Probe Tomography as an Emerging Tool for Understanding Defect‑Driven Mechanisms in HfO2‑Based Ferroelectrics

Advanced Functional Materials, EarlyView.
This Perspective highlights atom probe tomography as a powerful tool for understanding the atomic‐scale defect chemistry in HfO2‐based ferroelectrics. 3D mapping of dopants, point defects, and interface chemistry can provide new insight into defect‐driven mechanisms underpinning the ferroelectricity in the system and guide the design of more reliable ...
Kasper Hunnestad, Catherine Dubourdieu, Alexei Gruverman, Dennis Meier   +3 more
wiley   +1 more source

Empirical estimation of the eigenmodes of macroscale cortical dynamics: Reconciling neural field eigenmodes and resting-state networks

NeuroImage: Reports, 2022
Neural field theories successfully describe normal, awake mesoscale to macroscale brain activity using linearized partial differential equations that involve a Laplacian operator.
James A. Henderson, Kevin M. Aquino, P.A. Robinson   +2 more
doaj   +1 more source

On a fourth‐order nonlinear Helmholtz equation

Journal of the London Mathematical Society, 2018
In this paper, we study the mixed dispersion fourth order nonlinear Helmholtz equation $Δ^2 u -βΔu + αu= Γ|u|^{p-2} u$ in $\mathbb R^N$ for positive, bounded and $\mathbb Z^N$-periodic functions $Γ$. Using the dual method of Evequoz and Weth, we find solutions to this equation and establish some of their qualitative properties.
Denis Bonheure, Jean-Baptiste Casteras, Rainer Mandel   +2 more
openaire   +7 more sources

Vector‐Field Control and Emergent Basal‐Plane Anisotropy of Magnetic Textures in Noncentrosymmetric (Fe0.63Ni0.3Pd0.07)3P

Advanced Functional Materials, EarlyView.
A field‐driven transition from chiral stripes to an achiral fan state is observed in a tetragonal magnet and linked to a temperature‐dependent rotation of the effective Dzyaloshinskii–Moriya interaction axis. This interplay generates pronounced in‐plane anisotropy and provides a new route for controlling chiral spin textures in noncentrosymmetric ...
Victor Ukleev, Oleg I. Utesov, Lorenzo Ubilla, Chen Luo, Radu‐Marius Abrudan, Peter Wild, Holger Kropf, Moritz Winter, Sebastian Schneider, Alexander Tahn, Bernd Rellinghaus, Tim A. Butcher, Simone Finizio, Sebastian Wintz, Markus Weigand, Max T. Birch, Yoshinori Tokura, Yasujiro Taguchi, Kosuke Karube, Florin Radu   +19 more
wiley   +1 more source