Numerical Methods for Elastic Wave Propagation

摘要: There is a great need for numerical methods which treat time-dependent elastic wave propagation problems. Such problems appear in many applications, example geophysics or non-destructive testing. In particular, seismic one of the areas where intensive scientific computation has been developed and used since beginning 70’s, with apparition finite differences time domain (FDTD). Although very old, these remain popular are widely simulation phenomena more generally resolution linear hyperbolic systems. They consist obtaining discrete equations whose unknowns field values at points regular mesh spatial step h Δt. A prototype famous Yee§s scheme introduced 1966 Maxwell§s equations. several reasons that explain success Yee type schemes, among their easy implementation efficiency related to following properties: a uniform grid space discretization, so there minimum information store data be computed structured: other words, avoids all complications due use non meshes. an explicit discretization applied: no system solved each step.