Wave Propagation Using Wavelet-Based Finite Elements
Rodrigo Burgos, Raul Rosas e Silva, Felipe Prado Loureiro, Marco Antônio Cetale Santos · 2009
The present work discusses an alternative to the usual finite difference (FDM) approach to 2-D wave equation modeling. This approach is based on the Finite Element Method (FEM) and introduces Deslauriers-Dubuc wavelets (Interpolets) as interpolating functions. An example in 1-D was formulated using Central Difference and Newmark schemes for time differentiation. Encouraging results were obtained even for large time steps. Results obtained in 2-D with FEM and FDM are compared for validation.