Results 41 to 50 of about 3,283,376 (328)

Korteweg-de Vries description of Helmholtz-Kerr dark solitons [PDF]

, 2006
A wide variety of different physical systems can be described by a relatively small set of universal equations. For example, small-amplitude nonlinear Schrödinger dark solitons can be described by a Korteweg-de Vries (KdV) equation.
Chamorro-Posada P, Chamorro-Posada P, Chi S, Christian J M, Christian J M, Dodd R K, Fedele R, Fedele R, G S McDonald, Infeld E, J M Christian, Kivshar Y S, Kivshar Y S, Kivshar Y S, Kivshar Y S, Kivshar Y S, Mandel P, P Chamorro-Posada, Remoissenet M, Satsuma J, Zakharov V E, Zakharov V E   +21 more
core   +3 more sources

Solving Helmholtz Equation with Local Fractional Derivative Operators

Fractal and Fractional, 2019
The paper presents a new analytical method called the local fractional Laplace variational iteration method (LFLVIM), which is a combination of the local fractional Laplace transform (LFLT) and the local fractional variational iteration method (LFVIM ...
D. Baleanu, H. Jassim, M. A. Qurashi
semanticscholar   +1 more source

Multifrequency Analysis for the Helmholtz Equation [PDF]

PAMM, 2003
AbstractThis paper is a brief review of a new numerical method for the multifrequency analysis of the three‐dimensional Helmholtz equation. We describe the principles of this method which is based on the identity of the Fourier transform with respect to the wave number. Some numerical examples for the solution were presented at the oral session.
Köhl, M., Rjasanow, S.
openaire   +4 more sources

Parallel controllability methods for the Helmholtz equation [PDF]

Computer Methods in Applied Mechanics and Engineering, 2020
The Helmholtz equation is notoriously difficult to solve with standard numerical methods, increasingly so, in fact, at higher frequencies. Controllability methods instead transform the problem back to the time-domain, where they seek the time-harmonic solution of the corresponding time-dependent wave equation.
Grote, Marcus, Nataf, Frédéric, Hoe Tang, Jet, Tournier, Pierre-Henri   +3 more
openaire   +5 more sources

Fourier Method for Approximating Eigenvalues of Indefinite Stekloff Operator

, 2017
We introduce an efficient method for computing the Stekloff eigenvalues associated with the Helmholtz equation. In general, this eigenvalue problem requires solving the Helmholtz equation with Dirichlet and/or Neumann boundary condition repeatedly.
A Brandt, A.H. Sheikh, B Engquist, CC Stolk, D Colton, D Lahaye, D Osei-Kuffuor, F. Cakoni, Fioralba Cakoni, GH Golub, HC Elman, JW Cooley, L Zepeda-Núnez, M Eslaminia, M. J. Gander, OG Ernst, Z Chen   +16 more
core   +1 more source

Monopoles, instantons, and the Helmholtz equation [PDF]

Journal 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, Guido, Maldonado, Rafael
openaire   +4 more sources

Exploring Solutions of Geometry Problems for Inverse Cauchy Problems in Helmholtz and Modified Helmholtz Equations

Academic Science Journal
In the present paper explores a reverse Cauchy problem for a heat transfer issue described by the Helmholtz and modified Helmholtz equation. Our goal is to identify an unknown defect  within a simply connected bounded domain , given the Dirichlet data ...
shurouq hasan, Zainab Ali Mansour, Fatima Mohammed Aboud   +2 more
doaj   +1 more source

On the Hierarchical Preconditioning of the Combined Field Integral Equation

, 2015
This paper analyzes how hierarchical bases preconditioners constructed for the Electric Field Integral Equation (EFIE) can be effectively applied to the Combined Field Integral Equation (CFIE).
Adrian, Simon B., Andriulli, Francesco P., Eibert, Thomas F.   +2 more
core   +3 more sources

On Solving Modified Helmholtz Equation in Layered Materials Using the Multiple Source Meshfree Approach

Mathematics, 2019
This paper presents a study for solving the modified Helmholtz equation in layered materials using the multiple source meshfree approach (MSMA). The key idea of the MSMA starts with the method of fundamental solutions (MFS) as well as the collocation ...
Cheng-Yu Ku, Jing-En Xiao, Weichung Yeih, Chih-Yu Liu   +3 more
doaj   +1 more source

A New Heterogeneous Multiscale Method for the Helmholtz Equation with High Contrast [PDF]

Multiscale Modeling & simulation, 2016
In this paper, we suggest a new heterogeneous multiscale method (HMM) for the Helmholtz equation with high contrast. The method is constructed for a setting as in Bouchitte and Felbacq [C. R.
Mario Ohlberger, B. Verfürth
semanticscholar   +1 more source