High-order fully discrete methods for the equations of elastic wave propagation with absorbing boundary conditions

摘要

We analyze a St0rmer-Numerov-type scheme and a class of 'single-step' schemes for the temporal approximation of the solution of the equations of plane elastodynamics with absorbing boundary conditions of first order. These methods are fourth-order accurate with respect to the time discretization parameter. Lr optimal-order error estimates are proved for full discretizations of the problem when Galerkin methods are used to approximate the solution in the spatial variables.