Results 31 to 40 of about 129,913 (284)

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
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The Helmholtz Equation with Uncertainties in the Wavenumber

Journal of Scientific Computing
AbstractWe investigate the Helmholtz equation with suitable boundary conditions and uncertainties in the wavenumber. Thus the wavenumber is modeled as a random variable or a random field. We discretize the Helmholtz equation using finite differences in space, which leads to a linear system of algebraic equations including random variables. A stochastic
Roland Pulch, Olivier Sète
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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 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

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
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Additive Sweeping Preconditioner for the Helmholtz Equation [PDF]

Multiscale Modeling & Simulation, 2016
27 ...
Fei Liu, Lexing Ying
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A Fast Solver for the Fractional Helmholtz Equation

SIAM Journal on Scientific Computing, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Christian Glusa, Harbir Antil, Marta D'Elia, Bart G. van Bloemen Waanders, Chester J. Weiss   +4 more
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Representation of solutions to Helmholtz’s equation [PDF]

Journal of Mathematical Physics, 1984
It is proved that any potential of a single layer v is identically equal to a potential of a double layer w in the bounded domain, 𝒟, and a necessary and sufficient condition for v≡w in Ω=R3/𝒟, the exterior domain, is given.
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Finite volume method for solving the stochastic Helmholtz equation

Advances in Difference Equations, 2019
In this paper, we consider the linear finite volume method (FVM) for the stochastic Helmholtz equation, driven by white noise perturbed forcing terms in one-dimension. We first deduce the linear FVM for the deterministic Helmholtz problem. The dispersion
Ruimin Xu, Tingting Wu
doaj   +1 more source

Dual system least squares finite element method for the Helmholtz equation

Results in Applied Mathematics, 2021
This paper uses LL∗method to solve Helmholtz equation in case when the frequency parameter is large. The Helmholtz equation is reformulated to the first order system by introducing a new variable and then the corresponding dual problem is considered. The
Nuree Song, Eunjung Lee
doaj   +1 more source