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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
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On the approximation of helmholtz's differential equation
Mechanics Research Communications, 1985A straightforward approximation technique for Helmholtz's differential equation subjected to Robin's boundary conditions is presented. The idea is based on the collocation of the translated fundamental solution of Helmholtz's differential equation. From the known asymptotic behavior of the translated fundamental solution, a simple scheme is developed ...
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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
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Mean Value Integral Equations and the Helmholtz Equation
Results in Mathematics, 1996The author determines, with aid of spectral synthesis, all continuous functions which assume at each point of the real line or plane the integral mean of its values on a symmetric interval or circular disk of fixed radius, respectively. In the one dimensional case the solutions are exactly the examples found by \textit{W. Walter} [Result. Math. 26, No.
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1961
The vector Helmholtz equation, which occurs particularly in electromagnetic theory [19], is more complicated than the scalar Helmholtz equation and its separation presents new problems.
Parry Moon, Domina Eberle Spencer
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The vector Helmholtz equation, which occurs particularly in electromagnetic theory [19], is more complicated than the scalar Helmholtz equation and its separation presents new problems.
Parry Moon, Domina Eberle Spencer
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Journal of Mathematical Physics, 1978
In this paper, we introduce the spinor Helmholtz equation, a first order partial differential system, which, on the one hand, describes the behavior of a polarized electromagnetic beam at the Fresnel approximation and which, on the other hand, can also be used, from a numerical viewpoint, instead of the scalar Helmholtz equation for solving the ...
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In this paper, we introduce the spinor Helmholtz equation, a first order partial differential system, which, on the one hand, describes the behavior of a polarized electromagnetic beam at the Fresnel approximation and which, on the other hand, can also be used, from a numerical viewpoint, instead of the scalar Helmholtz equation for solving the ...
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Advances in Iterative Methods and Preconditioners for the Helmholtz Equation
Archives of Computational Methods in Engineering, 2007Yogi A Erlangga
exaly
The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation
Applied Mathematics Letters, 2001Andreas Karageorghis
exaly