Preconditioning harmonic unsteady potential flow calculations [PDF]
, 2005 This paper considers finite element discretisations of the Helmholtz equation and its generalisation arising from harmonic acoustics perturbations to a non-uniform steady potential flow.
Giles, M. B., Laird, Alistair L.
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On controllability methods for the Helmholtz equation [PDF]
Journal of Computational and Applied Mathematics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marcus J. Grote, Jet Hoe Tang
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Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]
, 2011 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-
M. A. AL-Jawary +7 more
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A Time-Domain Preconditioner for the Helmholtz Equation [PDF]
SIAM Journal on Scientific Computing, 2021 29 pages, 3 figures, 3 ...
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A computing method for bending problem of thin plate on Pasternak foundation
Advances 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
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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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Nonlinear interfaces: intrinsically nonparaxial regimes and effects [PDF]
, 2009 The behaviour of optical solitons at planar nonlinear boundaries is a problem rich in intrinsically nonparaxial regimes that cannot be fully addressed by theories based on the nonlinear Schrödinger equation.
Boardman A D +10 more
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Domain Decomposition preconditioning for high-frequency Helmholtz problems with absorption [PDF]
, 2016 In this paper we give new results on domain decomposition preconditioners for GMRES when computing piecewise-linear finite-element approximations of the Helmholtz equation $-\Delta u - (k^2+ {\rm i} \varepsilon)u = f$, with absorption parameter ...
Graham, Ivan G. +2 more
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Exact soliton solutions of the nonlinear Helmholtz equation: communication [PDF]
, 2002 Exact analytical soliton solutions of the nonlinear Helmholtz equation are reported.
Chamorro-Posada, P +2 more
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Adaptive BEM with optimal convergence rates for the Helmholtz equation [PDF]
, 2018 We analyze an adaptive boundary element method for the weakly-singular and hypersingular integral equations for the 2D and 3D Helmholtz problem. The proposed adaptive algorithm is steered by a residual error estimator and does not rely on any a priori ...
Bespalov, Alex +3 more
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