On the numerical stability of time domain boundary element methods Academic Article

Time domain elastodynamic boundary element methods are prone to numerical instabilities. Under suitable conditions, these instabilities can swamp the transient response of a system. We show evidence of these instabilities in both the direct and indirect boundary element methods. We summarize the literature on the evidence and causes of these instabilities, and refer to improved algorithms and alternative formulations which are less prone to numerical instabilities. Finally, we make suggestions as to where research should concentrate so that these methods can reach their full potential.© 1997 A.A.Balkema, Postbus 1675, Rotterdam, Netherlands.

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