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Theory and applications in stability of free‐surface time‐domain boundary element models
Authors:Bjarne Bü  chmann
Abstract:A method is presented for examining the stability of a free‐surface time‐domain boundary element model based on B‐splines. Effects of a non‐uniform discretization occurring in practical applications are included. It is demonstrated that instabilities may occur, even in situations where earlier stability analyses predicted the scheme to be stable. These instabilities are due to non‐uniformities in the spatial discretization, which have until now not been included in the stability analyses. Copyright © 2001 John Wiley & Sons, Ltd.
Keywords:B‐splines  boundary element method  higher‐order basis functions  stability analysis  three‐dimensional  time‐domain
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