A method for obtaining a sparse matrix from the volume integral equation for elastic wave propagation

T Touhei
2007 WIT Transactions on Modelling and Simulation   unpublished
The advantage of the volume integral equation is that it is possible to clarify the relationship between fluctuations of the wave field and radiation of scattered waves. This paper proposes a method to obtain a sparse matrix for the volume integral equation for elastic wave propagation. The formulation employed here is based on the wavenumber domain solution together with usage of Haar scaling functions. The unitarity of the Fourier transform in terms of the Haar scaling function reveals that
more » ... tion reveals that the integral equation is transformed into a linear algebraic equation with a sparse matrix. Numerical calculations are carried out to verify the proposed formulation.
doi:10.2495/be070241 fatcat:xlnvnfozujgfxnugglhg7ihaj4