Results 21 to 30 of about 23,622 (294)

Using a Divergence Regularization Method to Solve an Ill-Posed Cauchy Problem for the Helmholtz Equation

open access: yesAbstract and Applied Analysis, 2022
The ill-posed Helmholtz equation with inhomogeneous boundary deflection in a Hilbert space is regularized using the divergence regularization method (DRM).
Benedict Barnes   +2 more
doaj   +1 more source

Transfer equation for the strain rate tensor and description of an incompressible dispersed mixture (incompressible fluid) by a system of equations of dynamic type [PDF]

open access: yesE3S Web of Conferences, 2021
It is known that the application of the vector operation rot to the equations of hydrodynamics leads to the Helmholtz-Friedman equation for a vortex.
Yuldashov Askar   +3 more
doaj   +1 more source

Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]

open access: yes, 2012
This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2012 Taylor & Francis.This paper presents new formulations of the boundary–domain integral equation (BDIE) and the boundary–domain integro-
Al-Jawary, MA, Wrobel, LC
core   +1 more source

Nearby preconditioning experiments for the Helmholtz equation

open access: yes, 2021
This code provides a range of experiments for investigating the effectiveness of 'nearby preconditioning' for the heterogeneous Helmholtz equation. This is the version of the software used in the paper 'Analysis of a Helmholtz preconditioning problem ...
Owen Pembery
core   +1 more source

An exact transverse Helmholtz equation [PDF]

open access: yesJournal of the Optical Society of America A, 2009
We derive an exact equation for the transverse component of the electric field propagating along a given longitudinal z direction in the presence of an isotropic refractive-index distribution n(x,y).
Bruno, Crosignani   +2 more
openaire   +2 more sources

The Extrinsic Enriched Finite Element Method with Appropriate Enrichment Functions for the Helmholtz Equation

open access: yesMathematics, 2023
The traditional finite element method (FEM) could only provide acceptable numerical solutions for the Helmholtz equation in the relatively small wave number range due to numerical dispersion errors.
Yingbin Chai   +4 more
doaj   +1 more source

On controllability methods for the Helmholtz equation [PDF]

open access: yesJournal of Computational and Applied Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marcus J. Grote, Jet Hoe Tang
openaire   +3 more sources

Monopoles, instantons, and the Helmholtz equation [PDF]

open access: yesJournal of Mathematical Physics, 2016
In this work we study the dimensional reduction of smooth circle invariant Yang-Mills instantons defined on 4-manifolds which asymptotically become circle fibrations over hyperbolic 3-space. A suitable choice of the 4-manifold metric within a specific conformal class gives rise to singular and smooth hyperbolic monopoles.
Franchetti G, Maldonado R
openaire   +3 more sources

A computing method for bending problem of thin plate on Pasternak foundation

open access: yesAdvances in Mechanical Engineering, 2020
The governing equation of the bending problem of simply supported thin plate on Pasternak foundation is degraded into two coupled lower order differential equations using the intermediate variable, which are a Helmholtz equation and a Laplace equation. A
Jiarong Gan   +4 more
doaj   +1 more source

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