Lower Bounds to the Nth Eigenvalue of the Helmholz Equation Over Three-Dimensional Regions of Arbitrary Shape

[+] Author and Article Information
D. Pnueli

Department of Fluid, Thermal, and Aerospace Sciences, Case Western Reserve University, Cleveland, Ohio

J. Appl. Mech 41(3), 819-820 (Sep 01, 1974) (2 pages) doi:10.1115/1.3423403 History: Received March 01, 1974; Online July 12, 2010


A method is presented to compute a lower bound to the n th eigenvalue of the Helmholtz equation over three-dimensional regions. The shape of the regions is arbitrary and only their volume need be known.

Copyright © 1974 by ASME
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