Bulletin of the Seismological Society of America
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Bulletin of the Seismological Society of America; April 1992; v. 82; no. 2; p. 898-913
© 1992 Seismological Society of America
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Physical interpretation and stability of paraxial boundary conditions

E. KAUSEL

DEPARTMENT OF CIVIL ENGINEERING MASSACHUSETTS INSTITUTE OF TECHNOLOGY, CAMBRIDGE, MASSACHUSETTS 02139

Abstract

We derive in this paper the dynamic impedance matrices associated with some paraxial boundary conditions for wave motions in unbounded homogenous elastic media and use them to establish the existence of directions of propagation of waves for which the boundaries supply rather than dissipate energy. Also, we explore the existence of solutions of exponential growth and discuss conditions under which they can arise. These considerations may be used to provide a physical interpretation to the paraxial boundaries and to understand possible sources of instability that can develop in time-domain implementations of these schemes with finite differences.






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Copyright © 1992 by the Seismological Society of America.