Results 31 to 40 of about 23,622 (294)

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.
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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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A partition of unity FEM for time-dependent diffusion problems using multiple enrichment functions [PDF]

, 2013
An enriched partition of unity FEM is developed to solve time-dependent diffusion problems. In the present formulation, multiple exponential functions describing the spatial and temporal diffusion decay are embedded in the finite element approximation ...
Mohamed, M.S., Seaid, Mohammed, Shadi Mohamed, M.; id_orcid, Trevelyan, Jon, Seaid, M., Laghrouche, Omar; id_orcid, Trevelyan, J., Laghrouche, O.   +7 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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Finite-element discretisations of the heterogenenous and stochastic Helmholtz equation in Firedrake

, 2020
This code provides Python classes for discretisation of both the heterogeneous and stochastic Helmholtz equation using the Firedrake finite-element ...
Owen Pembery
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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

Additive Sweeping Preconditioner for the Helmholtz Equation [PDF]

Multiscale Modeling & Simulation, 2016
27 ...
Fei Liu, Lexing Ying
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Lp–Lq estimates for electromagnetic Helmholtz equation [PDF]

, 2011
In space dimension n⩾3, we consider the electromagnetic Schrödinger hamiltonian H=(∇−iA(x))2−V and the corresponding Helmholtz equation(∇−iA(x))2u+u−V(x)u=fin Rn. We extend the well-known Lp–Lq estimates for the solution of the free Helmholtz equation to
García Alonso, Andoni, Andoni Garcia, Garcia, Andoni   +2 more
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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
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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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