Finite element methods for the simulation of wave propagation in two- dimensional inhomogeneous elastic media
The author defines certain continuous and discrete-time standard Galerkin procedures and obtains optimal order convergence results in \(L^ 2(\Omega)\) and \(H^ 1(\Omega)\). Efficient time-stepping procedures which are analogous to the so-called Laplace-modified and alternating direction methods are also provided. These Galerkin procedures are applicable to approximate solutions for the wave equation in two-dimensional, inhomogeneous elastic media.
direction preconditioned conjugate gradient method
continuous and discrete-time standard Galerkin procedures
scientific article; zbMATH DE number 3952121