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Frontiers of Applied and Computational Mathematics
The Perfectly Matched Layer (PML) is currently the mainstay of absorbing boundary conditions. For some anisotropic wave equations the PML is exponentially unstable in time. We present in this work a new method of open boundaries, the phase space filter, which is stable for all wave equations. Outgoing waves can be are waves located near the boundary of the computational domain with group velocities pointing out. Phase space filtering involves periodically removing only outgoing waves from thedoi:10.1142/9789812835291_0026 fatcat:5pc4t6cekbbu7dw6zjfex4skfi