Volume Integral Equation Method For
The Analysis Of Scattered Waves In
An Elastic Half Space
Author(s)
T. Touhei & K. Kuranami
Abstract
A volume integral equation method for the analysis of scattered elastic waves
in a half space is presented. This method introduces the generalized Fourier and
its inverse transforms during the Krylov subspace iterative method for obtaining
the solutions. The derivation of the coefficient matrix for the integral equation is
not required. Furthermore, the introduction of the fast method for the generalized
Fourier transform enables us to reduce the large amount of the CPU time, which
was observed in the previous article. Numerical calculations are carried out to
examine the effects of the fluctuations of the wave field due to the Lam´e constants
as well as the mass density on scattered waves. The numerical results are also
compared with the results of the Born approximation to check the accuracy of the
present method.
Keywords: analysis of scattered waves, elastic half space, volume integral
equation, generalized Fourier transform, Krylov subspace iterative method.
1 Introduction
A type of the volume integral equation known as the Lippmann-Schwinger
equation has been an efficient tool for theoretical investigation for the analysis
of scattered waves in fields of the quantum mechanics [2] and acoustics [3]. The
application of the volume integral equation to numerical analyses, however, is not
very easy due to a requirement of a huge scale and dense matrix as a result of
the discretization of the equation. Nevertheless, a number of applications of the
volume integral equation to scattering problems are increasing. The application
fields are extended to elastic wave as well as electro-magnetic wave propagations
Keywords
analysis of scattered waves, elastic half space, volume integral
equation, generalized Fourier transform, Krylov subspace iterative method
Related Book
Other papers in this volume
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