Results 271 to 280 of about 3,669,023 (333)
Some of the next articles are maybe not open access.
Kernel Ridge Regression with Constraint of Helmholtz Equation for Sound Field Interpolation
International Workshop on Acoustic Signal Enhancement, 2018Kernel ridge regression with the constraint of the Helmholtz equation for three-dimensional sound field interpolation is proposed. Interpolation of a sound field is formulated as an optimization problem whose objective function to be minimized is a ...
Natsuki Ueno +2 more
semanticscholar +1 more source
The method of fundamental solutions for the Helmholtz equation
Applied Numerical Mathematics, 2019In this paper, we study the Helmholtz equation by the method of fundamental solutions (MFS) using Bessel and Neumann functions. The bounds of errors are derived for bounded simply-connected domains, while the bounds of condition number are derived only ...
Zi-Cai Li +3 more
semanticscholar +1 more source
New computational approaches to the fractional coupled nonlinear Helmholtz equation
Engineering computationsPurposeThe main aim of this paper is to investigate the fractional coupled nonlinear Helmholtz equation by two new analytical methods.Design/methodology/approachThis article takes an inaugural look at the fractional coupled nonlinear Helmholtz equation ...
Kang-Le Wang
semanticscholar +1 more source
Deep Domain Decomposition Methods: Helmholtz Equation
Advances in Applied Mathematics and Mechanics, 2023Summary: This paper proposes a deep-learning-based Robin-Robin domain decomposition method (DeepDDM) for Helmholtz equations. We first present the plane wave activation-based neural network (PWNN), which is more efficient for solving Helmholtz equations with constant coefficients and wavenumber \(k\) than finite difference methods (FDM). On this basis,
Li, Wuyang +4 more
openaire +1 more source
PRECONDITIONING THE HELMHOLTZ EQUATION
Journal of Sound and Vibration, 1998An innovative hyperbolic preconditioning technique is developed for the numerical solution of the Helmholtz equation which governs acoustic propagation in ducts. Two pseudo-time parameters are used to produce an explicit iterative finite difference scheme.
K.J. Baumeister, K.L. Kreider
openaire +1 more source
FEM and CIP-FEM for Helmholtz Equation with High Wave Number and Perfectly Matched Layer Truncation
SIAM Journal on Numerical Analysis, 2019The Helmholtz scattering problem with high wave number is truncated by the perfectly matched layer (PML) technique and then discretized by the linear continuous interior penalty--finite element met...
Yonglin Li, Haijun Wu
semanticscholar +1 more source
Helmholtz Equation and Visualization
2009 International Asia Symposium on Intelligent Interaction and Affective Computing, 2009The existence of electromagnetic waves is an important result of Maxwell's equations. For this reason, this paper, based on Maxwell's equations, after the introduction of potential functions, obtains Helmholtz equation of time-varying electromagnetic field, using the separation of variables, solves the equation on the basis of Spherical Symmetry, then ...
Wu Gang, Xiying Fan
openaire +1 more source
2010
The Helmholtz equation $$(\Delta + k^2)w(x) = 0$$ (7.1) arises naturally in physical applications related to wave propagation and vibration phenomena. We mention several important examples.
Goong Chen, Goong Chen, Jianxin Zhou
openaire +1 more source
The Helmholtz equation $$(\Delta + k^2)w(x) = 0$$ (7.1) arises naturally in physical applications related to wave propagation and vibration phenomena. We mention several important examples.
Goong Chen, Goong Chen, Jianxin Zhou
openaire +1 more source
Layer Stripping for the Helmholtz Equation
SIAM Journal on Applied Mathematics, 1996Summary: We develop a new layer stripping technique for the inverse scattering problem for the one-dimensional Helmholtz equation on the half line. The technique eliminates the use of ``trace formulas'', relying instead on a nonlinear Plancherel equality that provides a simple and precise characterization of the reflection data.
Sylvester, John +2 more
openaire +2 more sources
2001
The acoustic wave equation described the propagation of the sound in a medium like the air. It results, e.g., from the equation of the compressible gas dynamic, also called the compressible Navier-Stokes equations. In the case of small displacements of the gas, a linearization of these equations leads to an equation for the displacement and the small ...
openaire +1 more source
The acoustic wave equation described the propagation of the sound in a medium like the air. It results, e.g., from the equation of the compressible gas dynamic, also called the compressible Navier-Stokes equations. In the case of small displacements of the gas, a linearization of these equations leads to an equation for the displacement and the small ...
openaire +1 more source