A numerical method for transmission problems for the Helmholtz equation

Computing ◽  
1989 ◽  
Vol 41 (3) ◽  
pp. 267-274 ◽  
Author(s):  
A. Zinn
Keyword(s):  
Helmholtz Equation ◽  
Numerical Method ◽  
Transmission Problems

Transmission problems for the Helmholtz equation

1978 ◽  
Vol 19 (6) ◽  
pp. 1433-1437 ◽  
Author(s):  
R. Kress ◽  
G. F. Roach
Keyword(s):  
Helmholtz Equation ◽  
Transmission Problems

Inverse scattering for the one-dimensional Helmholtz equation: fast numerical method

2008 ◽  
Vol 33 (18) ◽  
pp. 2101 ◽  
Author(s):  
Oleg V. Belai ◽  
Leonid L. Frumin ◽  
Evgeny V. Podivilov ◽  
David A. Shapiro
Keyword(s):  
Helmholtz Equation ◽  
Numerical Method ◽  
Inverse Scattering ◽  
One Dimensional ◽  
The One

scholarly journals WAVE INDUCED OSCILLATIONS OF HARBORS WITH VARIABLE DEPTH

1976 ◽  
Vol 1 (15) ◽  
pp. 203 ◽  
Author(s):  
F. Raichlen ◽  
E. Naheer
Keyword(s):  
Finite Difference ◽  
Helmholtz Equation ◽  
Numerical Method ◽  
Wave Energy ◽  
Water Surface ◽  
Two Dimensional ◽  
Variable Depth ◽  
Open Sea ◽  
Complex Shapes ◽  
Wave Induced

A numerical method is presented to treat the wave-induced oscillations of a harbor with a variable depth and width. A two-dimensional finite difference approach is used inside the harbor matched at the entrance to a solution for the open-sea based on the Helmholtz Equation which includes incident, reflected, and radiated wave energy. Examples of the response and the modal shapes of the water surface are presented for harbors with simple and complex shapes.

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