Convolution quadrature Galerkin boundary element method for the wave equation with reduced quadrature weight computation

The numerical solution of the wave equation on three-dimensional domains is calculated using the convolution quadrature method for the time discretization and a Galerkin boundary element method for the space discretization. A computation-reduction strategy is developed whose parameters are given by an a priori error analysis. This gives a maximum for the number of discrete convolution matrices that must be computed when a particular time step is employed. Numerical examples are then presented to illustrate the predicted convergence results and the practicality of the methods.