F. Maggio et A. Quarteroni, DOMAIN DECOMPOSED SPECTRAL METHODS FOR WAVE-PROPAGATION, Zeitschrift fur angewandte Mathematik und Mechanik, 76, 1996, pp. 239-242
We present a domain decomposition method for the solution of acoustic
and elastodynamic problems in two-dimensional heterogeneous media. The
problem is formulated in a variational form and the spatial discretiz
ation is based on the spectral Legendre collocation method. The matchi
ng conditions ail subdomain interfaces are discussed. The numerical va
lidation illustrates the accuracy, flexibility and robustness of our m
ethod.