Numerical solution of the Helmholtz equation with high wavenumbers

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.883 ◽

2003 ◽

Vol 59 (3) ◽

pp. 389-408 ◽

Author(s):

Gang Bao ◽

G. W. Wei ◽

Shan Zhao

Keyword(s):

Helmholtz Equation ◽

Numerical Solution ◽

High Wavenumbers

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Numerical solution of a generalized boundary value problem for the modified Helmholtz equation in two dimensions

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.05.013 ◽

2021 ◽

Author(s):

Olha Ivanyshyn Yaman ◽

Gazi Özdemir

Keyword(s):

Boundary Value Problem ◽

Helmholtz Equation ◽

Numerical Solution ◽

Boundary Value ◽

Two Dimensions ◽

Modified Helmholtz Equation

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Numerical solution of 3-D Neuman problem for scalar Helmholtz equation at the bodies of complex shapes

MMET 96 VIth International Conference on Mathematical Methods in Electromagnetic Theory Proceedings MMET-96 ◽

10.1109/mmet.1996.565728 ◽

2002 ◽

Author(s):

I. Lifanov ◽

I. Lifanov ◽

S. Novikov

Keyword(s):

Helmholtz Equation ◽

Numerical Solution ◽

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A direct numerical solution to a one-dimensional helmholtz equation

Journal of Computational Physics ◽

10.1016/0021-9991(69)90062-x ◽

1969 ◽

Vol 3 (4) ◽

pp. 544-546 ◽

Author(s):

James J O'brien

Keyword(s):

Helmholtz Equation ◽

Numerical Solution ◽

One Dimensional ◽

Direct Numerical Solution

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Numerical solution of iterative parabolic equations approximating the nonlinear Helmholtz equation

2018 Days on Diffraction (DD) ◽

10.1109/dd.2018.8553359 ◽

2018 ◽

Author(s):

Pavel S. Petrov ◽

Andrey G. Tyshchenko ◽

Matthias Ehrhardt

Keyword(s):

Helmholtz Equation ◽

Numerical Solution ◽

Parabolic Equations

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Incomplete block factorization preconditioning for linear systems arising in the numerical solution of the Helmholtz equation

Applied Numerical Mathematics ◽

10.1016/0168-9274(95)00094-1 ◽

1996 ◽

Vol 19 (4) ◽

pp. 495-508 ◽

Author(s):

Chun-Hua Guo

Keyword(s):

Helmholtz Equation ◽

Numerical Solution ◽

Linear Systems ◽

Incomplete Block ◽

Block Factorization

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On the numerical solution of a nonlinear stochastic Helmholtz equation with a multigrid preconditioner

Applied Mathematics and Computation ◽

10.1016/0096-3003(86)90101-3 ◽

1986 ◽

Vol 19 (1-4) ◽

pp. 145-157 ◽

Author(s):

Kirk E. Jordan ◽

George C. Papanicolaou ◽

R. Spigler

Keyword(s):

Helmholtz Equation ◽

Numerical Solution

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GREEN FUNCTION DISCRETIZATION FOR NUMERICAL SOLUTION OF THE HELMHOLTZ EQUATION

Journal of Sound and Vibration ◽

10.1006/jsvi.1995.0544 ◽

1995 ◽

Vol 187 (4) ◽

pp. 553-568 ◽

Author(s):

J.E. Caruthers ◽

J.C. French ◽

G.K. Raviprakash

Keyword(s):

Green Function ◽

Helmholtz Equation ◽

Numerical Solution

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On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation

Numerische Mathematik ◽

10.1007/bf01385694 ◽

1993 ◽

Vol 66 (1) ◽

pp. 199-214 ◽

Author(s):

Rainer Kress ◽

Ian H. Sloan

Keyword(s):

Integral Equation ◽

Helmholtz Equation ◽

Numerical Solution ◽

Logarithmic Integral

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Accurate numerical solution of the Helmholtz equation by iterative Lanczos reduction

Optics Letters ◽

10.1364/ol.16.000787 ◽

1991 ◽

Vol 16 (11) ◽

pp. 787 ◽

Author(s):

R. P. Ratowsky ◽

J. A. Fleck

Keyword(s):

Helmholtz Equation ◽

Numerical Solution ◽

Accurate Numerical Solution

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On the computationally efficient numerical solution to the Helmholtz equation

International Mathematical Forum ◽

10.12988/imf.2014.311224 ◽

2014 ◽

Vol 9 ◽

pp. 259-266

Author(s):

Angwenyi N. David ◽

Lawi George ◽

Ojiema Michael ◽

Owino Maurice

Keyword(s):

Helmholtz Equation ◽

Numerical Solution ◽

Computationally Efficient

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