Results 51 to 60 of about 23,622 (294)
Near‐Field Electrospinning Micro‐Printhead Achieves Precise Control of Nanofiber Deposition
Advanced Engineering Materials, EarlyView.A micro‐printhead for near‐field electrospinning enables reproducible deposition of polymer nanofibers with diameters below 50 nm. Systematic parameter studies uncover the mechanisms linking operating conditions to fiber morphology, paving the way for precise and low‐cost nanoscale 3D manufacturing.As a high‐resolution, cost‐effective, and rapid ...
Han Xu, Dario Mager, Jan G. Korvink
wiley +1 more source
Partial Differential Equations in Applied MathematicsThe modified Helmholtz equation qxx+qyy−4β2q=0, is one of the basic equations of classical mathematical physics. In this paper we have obtained the solution of the boundary-value problems for the modified Helmholtz equation in an equilateral triangle. An
Pratul Gadagkar +2 more
doaj +1 more source
Solving ill-posed Helmholtz problems with physics-informed neural networks
Journal of Numerical Analysis and Approximation Theory, 2023 We consider the unique continuation (data assimilation) problem for the Helmholtz equation and study its numerical approximation based on physics-informed neural networks (PINNs).
Mihai Nechita
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The method of fundamental solutions for Helmholtz-type problems [PDF]
, 2013 The purpose of this thesis is to extend the range of application of the method fundamental solutions (MFS) to solve direct and inverse geometric problems associated with two- or three-dimensional Helmholtz-type equations.
Bin-Mohsin, Bandar Abdullah
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, 2020 The purpose of this paper is to characterize the entire solutions of the homogeneous Helmholtz equation (solutions in ℝd) arising from the Fourier extension operator of distributions in Sobolev spaces of the sphere with α ∈ ℝ.
Pérez Esteva, Salvador +4 more
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Advanced Engineering Materials, EarlyView.This article presents the design, modeling, and characterization of air‐pressure–actuated programmable vibroacoustic metamaterials (PVAMM). The study focuses on leveraging air pressure to dynamically tune resonance frequencies for effective noise attenuation.
William Kaal +2 more
wiley +1 more source
Journal of Applied Mathematics, 2014 We consider an ill-posed initial boundary value problem for the Helmholtz equation. This problem is reduced to the inverse continuation problem for the Helmholtz equation.
Sergey Igorevich Kabanikhin +4 more
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Advances in Difference Equations, 2019 In this paper, a class of sixth-order finite difference schemes for the Helmholtz equation with inhomogeneous Robin boundary condition is derived.
Yang Zhang, Kun Wang, Rui Guo
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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 +4 more
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Special wave finite and infinite elements for the solution of the Helmholtz equation [PDF]
, 2003 The theory and the formulation of the special wave finite elements are discussed, and the special integration schemes for the elements are developed.
Sugimoto, Rie
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