ABSTRACT
This chapter discusses the development of a wavelet-based numerical technique for simulation of wave propagation in structural waveguides [62]. The method is based on wavelet transform and spectral finite element technique. The orthogonal, compactly supported Daubechies scaling functions are used for temporal approximation followed by finite element approach in the transformed domain. The method termed as Wavelet Spectral Finite Element (WSFE) is ideally suited for modeling finite dimension structures of relatively high complexities. This chapter is confined to the use of WSFE for modeling one-dimensional waveguide for time domain analysis. The following chapters describe the frequency domain analysis using WSFE and also extension to the modeling of two-dimensional structures.
