Results 61 to 70 of about 129,913 (284)
Is the Helmholtz Equation Really Sign-Indefinite? [PDF]
SIAM Review, 2014 The usual variational (or weak) formulations of the Helmholtz equation are sign-indefinite in the sense that the bilinear forms cannot be bounded below by a positive multiple of the appropriate norm squared. This is often for a good reason, since in bounded domains under certain boundary conditions the solution of the Helmholtz equation is not unique ...
Andrea Moiola, Euan A. Spence
openaire +3 more sources
Communications in Contemporary Mathematics, 2022 We show the equivalence of the classical Helmholtz equation and the fractional Helmholtz equation with arbitrary order. This improves a recent result of Guan, Murugan and Wei [Helmholtz solutions for the Fractional Laplacian and other related operators, to appear in Comm. Contemp. Math.].
Cheng, Xinyu, Li, Dong, Yang, Wen
openaire +3 more sources
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
On the possibility of remote detection of conductive layers
Nonlinear Analysis, 2018 A two-dimensional medium is considered in which the fields are described by the Helmholtz equation. The linearized formulation of the problem of restoring the parameters of the medium (the inverse problem for the Helmholtz equation) is studied.
Aleksandr S. Barashkov
doaj +1 more source
Boundary Element and Finite Element Coupling for Aeroacoustics Simulations [PDF]
, 2014 We consider the scattering of acoustic perturbations in a presence of a flow. We suppose that the space can be split into a zone where the flow is uniform and a zone where the flow is potential.
Balin, Nolwenn +5 more
core +7 more sources
The dirichlet problem for the Helmholtz equation [PDF]
Archive for Rational Mechanics and Analysis, 1965 Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/46171/1/205_2004_Article_BF00285433 ...
openaire +3 more sources
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
Vestnik KRAUNC: Fiziko-Matematičeskie NaukiAt 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
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 +1 more
doaj +1 more source
Fostering Innovation: Streamlining Magnetocaloric Materials Research by Digitalization
Advanced Engineering Materials, EarlyView.Magnetocaloric cooling (MCE) is an environmentally friendly refrigeration method with great potential. Optimizing MCE materials involves the preparation and screening of large quantities of samples, which in turn generates a large amount of data. A digitalization approach is presented that uses ontologies, knowledge graphs, and digital workflows to ...
Simon Bekemeier +17 more
wiley +1 more source