Helmholtz equation for the generalized guided
Two-level preconditioners for the Helmholtz equation
... the Helmholtz equation −∆u − k 2 u = f is a challenging task be- cause of its indefinite nature and its highly oscillatory solution when the wavenumber k is ...the Helmholtz equation with ...
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Shape Representation Using the Helmholtz Equation
... In Chapter IV, we extend it to consider Brownian motion that originates outside the shape. To prevent this Brownian motion from continuing infinitely, we introduce an exponential dying time for the particle. This dying ...
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A New Parabolic Approximation to the Helmholtz Equation
... These preliminary numerical results show that the parabolic approximation investigated here captures the correct full wave behavior of the Helmholtz equation for th[r] ...
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Is the Helmholtz equation really sign-indefinite?
... Least-squares methods As we saw in §1.1, the best possible variational problem involves a symmetric, coercive, sesquilinear form, as in the case of the Dirichlet problem for Poisson’s equation. Least-squares ...
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Helmholtz Equation in Transverse Circular Representation
... Helmholtz Equation in Transverse Circular Representation ˇ Stefan Viˇsˇ novsk´ y * Abstract —The use of transverse circular representation in circular cylinder coordinate system provides an alternative ...
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The method of particular solutions for the Helmholtz equation
... (Received 29 October 2004, 8 revised April 2005) Abstract We have previously showed that the advection-diffusion equation in steady hill-slope seepage problems can be reduced to the solution of the ...
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CiteSeerX — Hierarchical Bases for the Indefinite Helmholtz Equation
... nite Helmholtz equation, straightforward multigrid solvers lose their eciency and show slow convergence or even diver- gence for high wave ...homogenous equation can be totally invisible for the ...
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CONSTRUCTION OF GREEN FUNCTION FOR BESSEL-HELMHOLTZ EQUATION
... The study of wave propagation in infinite domains has a great value in physics and mechanics. The long-range wave propagation in atmosphere, sound propagation in sea, waves in pipes belong to such ones. These phenomena ...
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The Best Finite Difference Scheme for the Helmholtz Equation
... The best finite-difference scheme for the Helmholtz equation is suggested. A method of solving obtained finite-differ- ence scheme is developed. The efficiency and accuracy of method were tested on several ...
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CONTROLLABILITY TECHNIQUES FOR THE HELMHOLTZ EQUATION WITH SPECTRAL ELEMENTS
... controllability, Helmholtz equation, Spectral element ...the Helmholtz equa- ...time-harmonic equation, we formulate the Helmholtz problem as an exact controllability problem for the ...
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Finite volume method for solving the stochastic Helmholtz equation
... ministic Helmholtz problem in one-dimension, and then consider its solution’s existence and ...dispersion equation, and analyze the error between the numer- ical and exact ...stochastic Helmholtz ...
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Bistable dark solitons of a cubic quintic Helmholtz equation
... governing equation are then derived by mapping the solution asymptotics directly onto a plane-wave background; both forward- and backward-propagating beams are ...
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The integral equation methods for the perturbed Helmholtz eigenvalue problems
... integral equation method in the evaluation of eigenfunctions and the corresponding eigenvalues of the two-dimensional Laplacian op- erator under boundary variations of the ...
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2. A new method for solving the modified Helmholtz equation
... Abstract. In this paper, the Cauchy problem for the modified Helmholtz equation is investigated. It is known that such problem is severely ill-posed. We propose a new regularization method to solve it based ...
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The parallelization of helmholtz equation related to breast cancer growth
... 1.1.4 Parallel Computational Platform There are some software systems at operating system and programming language level that have been designed for parallel computers (Hamzah, 2011). The software system provides ...
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High-frequency asymptotics for the modified Helmholtz equation in a half-plane
... Abstract Based on the integral representations of the solution derived via Fokas’ transform method, the high-frequency asymptotics for the solution of the modified Helmholtz equation, in a half-plane and ...
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A Spectral Regularization Method for a Cauchy Problem of the Modified Helmholtz Equation
... for Helmholtz equation arises from inverse scattering ...of Helmholtz equation by using classical numerical methods and it requires special techniques, for exam- ple, regularization ...of ...
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Some properties and applications of the Teodorescu operator associated to the Helmholtz equation
... operator; Helmholtz equation; Riemann boundary value problem; integral representation 1 Introduction It is well known that the Helmholtz equation is an elliptic partial differential ...
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WEAK GALERKIN METHOD FOR THE HELMHOLTZ EQUATION WITH DTN BOUNDARY CONDITION
... QINGJIE HU 1,2 , YINNIAN HE 1 , KUN WANG 3 Abstract. In this article, we consider a weak Galerkin finite element method for the two dimen- sional exterior Helmholtz problem. After introducing a nonlocal boundary ...
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Modeling Of The Gaussian Laser Beam By Approximate Solution Of Helmholtz Equation
... This equation is known as Helmholtz ...use Helmholtz equation t o analyze the characteristics of monochromatic beam of light, It is well known that any arbitrary electromagnetic field can ...
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