Consistent Infinitesimal Finite Element Cell Method: Three-Dimensional Scalar Wave Equation

[+] Author and Article Information
J. P. Wolf, Chongmin Song

Institute of Hydraulics and Energy, Department of Civil Engineering, Swiss Federal Institute of Technology, Lausanne CH-1015, Switzerland

J. Appl. Mech 63(3), 650-654 (Sep 01, 1996) (5 pages) doi:10.1115/1.2823345 History: Received March 13, 1995; Revised March 07, 1996; Online December 04, 2007


To calculate the unit-impulse response matrix of an unbounded medium governed by the scalar wave equation for use in a time-domain analysis of unbounded medium-structure interaction, the consistent infinitesimal finite element cell method is developed for the three-dimensional case. Its derivation is based on the finite element formulation and on similarity. The discretization is only performed on the structure-medium interface, yielding a reduction of the spatial dimension by 1. The procedure is exact in the radial direction and converges to the exact solution in the finite element sense in the circumferential directions.

Copyright © 1996 by The American Society of Mechanical Engineers
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