scholarly journals Propagation of surface waves on a laterally heterogeneous earth: asymptotic solution of the two-dimensional wave equation

1992 ◽  
Vol 111 (1) ◽  
pp. 67-78 ◽  
Author(s):  
Fred F. Pollitz
Keyword(s):  
Wave Equation ◽  
Asymptotic Solution ◽  
Surface Waves ◽  
Two Dimensional ◽  
Dimensional Wave

Boundary Feedback Stabilization of a Two-Dimensional Wave Equation

2011 ◽  
Vol 219-220 ◽  
pp. 957-960
Author(s):  
Chun Li Guo ◽  
Cheng Kang Xie ◽  
Fei Shen
Keyword(s):  
Wave Equation ◽  
Boundary Control ◽  
Closed System ◽  
Feedback Stabilization ◽  
Two Dimensional ◽  
Backstepping Method ◽  
Boundary Feedback ◽  
Dimensional Wave

Boundary control of two-dimensional wave equation on the rectangle is considered in this paper. Boundary controllers are designed through backstepping method. Stabilization of the closed system is obtained under the controllers.

scholarly journals On the Stability of Evolution Galerkin Schemes Applied to a Two‐Dimensional Wave Equation System

2006 ◽  
Vol 44 (4) ◽  
pp. 1556-1583 ◽  
Author(s):  
M. Lukáčová‐Medviďová ◽  
G. Warnecke ◽  
Y. Zahaykah
Keyword(s):  
Wave Equation ◽  
Equation System ◽  
Two Dimensional ◽  
The Stability ◽  
Dimensional Wave

FREQUENCY DOMAIN RECONSTRUCTION FOR PHOTO- AND THERMOACOUSTIC TOMOGRAPHY WITH LINE DETECTORS

2009 ◽  
Vol 19 (02) ◽  
pp. 283-306 ◽  
Author(s):  
MARKUS HALTMEIER
Keyword(s):  
Wave Equation ◽  
Frequency Domain ◽  
Boundary Data ◽  
Three Dimensional ◽  
Photoacoustic Tomography ◽  
Two Dimensional ◽  
Reconstruction Problem ◽  
Acoustic Data ◽  
Dimensional Wave ◽  
Frequency Domain Reconstruction

This paper is concerned with a version of photoacoustic tomography, that uses line shaped detectors (instead of point-like ones) for the recording of acoustic data. The three-dimensional image reconstruction problem is reduced to a series of two-dimensional ones. First, the initial data of the two-dimensional wave equation is recovered from boundary data, and second, the classical two-dimensional Radon transform is inverted. We discuss uniqueness and stability of reconstruction, and compare frequency domain reconstruction formulas for various geometries.

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