Abstract

AbstractThis work describes a time‐domain 2‐D BEM formulation, which employs the fundamental solution corresponding to a time constant concentrated source. All steps concerning the development of the fundamental solution are presented in details. The numerical solution procedure employs linear boundary elements and linear triangular cells, respectively, for the boundary and domain discretizations. The potential and its normal derivative are assumed to have linear variation in time and space, and, as usual in BEM time‐dependent formulations, the time integration is carried out analytically. Another aspect to be mentioned is related to the time‐stepping procedure: here, the so‐called linear θ‐method is adopted and the answer at the time tn+1 is computed from the response at the time tn+θ. In order to assess the accuracy of the formulation, two numerical examples are analysed. Copyright © 2002 John Wiley & Sons, Ltd.

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