It has been previously shown that the temporal integration of hyperbolic partial differential equations may , because of boundary conditions, lead to deterioration of accuracy of the solution. A… (More)

We investigate the long time behavior of two unsplit PML methods for the absorption of electromagnetic waves. Computations indicate that both methods su er from temporal instabilities after the elds… (More)

while constraining an energy norm of the error to be temporally bounded for all t . 0 by a constant proportional An algorithm which solves the multidimensional diffusion equation on complex shapes to… (More)

The question of the role of numerically imposed boundary conditions in the solution of parabolic and hyperbolic PDE's has been with us for many years. Many investigators have studied the effect of… (More)

Temporal, or “strict,” stability of approximation to PDEs is much more difficult to achieve than the “classical” Lax stability. In this paper, we present a class of finitedifference schemes for… (More)

The conventional method of imposing time dependent boundary con itioras for Runge-Kutta (RK) time advancement reduces the formal accuracy of the space-time method to first order locally, and second… (More)

This paper considers the application of the method of boundary penalty terms (“SAT”) to the numerical solution of the wave equation on complex shapes with Dirichlet boundary conditions. A theory is… (More)

The PML method of Berenger [2], and unsplit variants of it, has become very popular for use in computational electromagnetics (CEM). (See e.g., Turkel and Yefet [9] or Gedney [4] in [8]). The various… (More)

We propose new global arti cial boundary conditions (ABCs) for computation of ows with propulsive jets. The algorithm is based on application of the di erence potentials method (DPM). Previously,… (More)