Results 91 to 100 of about 129,913 (284)
Analysis of the Shifted Helmholtz Expansion Preconditioner for the Helmholtz Equation
We study in this paper the so-called expansion preconditioner which is a generalization of the shifted Helmholtz preconditioner. We show that this preconditioner can reduce the number of GMRES iterations if the meshsize is small enough and the shift is at most of the size of the wavenumber.
Cocquet, Pierre-Henri, Gander, Martin
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Multiplex Modular Nanorobotic Systems with Catalytic Activity under Magnetic Navigation
We present modular nanorobots composed of a magnetic propulsion module and different extension modules carrying functional activities, assembled via DNA base pairing. The system integrates propulsion, optical tracking, enzymatic catalysis, and cell docking in a programmable manner.
Voichita Mihali +7 more
wiley +1 more source
Solving the Helmholtz Equation for the Neumann Boundary Condition for the Pseudosphere by the Galerkin Method [PDF]
In this paper, the Helmholtz equation for the exterior Neumann boundary condition for the pseudosphere in three dimensions using the global Galerkin method is studied.
Pleskunas, Jane
core +1 more source
Electrochemical CO2 reduction (ECR) to formate is a promising route for sustainable chemical production. Herein, we report the synthesis catalysed byBi‐HfO2@C. The AIMD simulations, DFT calculations, and in situ SEIRAS measurements show that the modification of HfO2 on the Bi surface steers the interfacial water to adopt a favorable hydrogen‐down (OH2↓)
Xiao‐Dong Guo +7 more
wiley +1 more source
Kinetic Regimes of Hydrogen Absorption in Thin Films
Knowledge of the hydrogen incorporation mechanisms in thin layers in relation to the amount absorbed is essential to design coatings and devices compatible with hydrogen‐based technologies. A combination of simultaneous in situ methods gives detailed insight into the hydrogenation of a prototypical hydrogen absorber layer in a time‐dependent manner ...
Laura Guasco +7 more
wiley +1 more source
A new iterative non-overlapping domain decomposition method is proposed for solving the one- and two-dimensional Helmholtz equation on parallel computers. The spectral collocation method is applied to solve the Helmholtz equation in each subdomain based
SŁAWOMIR KUBACKI, ANDRZEJ BOGUSŁAWSKI
doaj
Developing recyclable materials for magnetic robotics that combine rapid response and self‐healing properties is challenging. Hence, this study focuses on the integration of magnetothermal nanoparticles into a dynamic sorbitol‐based vitrimer, a recyclable composite capable of remote actuation and self‐healing by magnetic heating.
Maria Weißpflog +3 more
wiley +1 more source
Classical and Nonclassical Symmetries for the Helmholtz Equation
In this note, the problem of group invariant solutions of the two- dimensional Helmholtz equation (1) \(u_{tt} + u_{xx} + \omega^ 2 u = 0\) is revisited. The authors compare the well-known ``classical method'' of infinitesimal generators of the symmetries of (1) with the ``nonclassical'' group analysis (studied by Bluman and Cole) which obtains the ...
NUCCI, Maria Clara, AMES W. F.
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A 2D heterointerface with a two‐site anchor bridge suppresses nonradiative recombination at the perovskite/C₆₀ interface by reducing surface defects, elevating the Fermi level, and strengthening the electric field. This strategy enables efficient electron extraction, delivering 26.32% efficiency, 1.217 V Voc, excellent operational stability, and broad ...
Chaohui Li +27 more
wiley +1 more source
An inverse problem for Helmholtz′s equation [PDF]
The refraction coefficient in Helmholtz′s equation is found from the knowledge of a family of the solutions to this equation on two lines.
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