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Elimination of a non-oscillatory instability in a retarded potential integral equation

机译：消除延迟势积分方程中的非振荡不稳定

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This paper deals with the unstable behaviour of an acoustic boundary element model. The model, based on a marching on time (MOT) algorithm, uses a hypersingular derivative Green method. It is able to cope with open or closed diffracting objects. These objects are rigid or can be deformed. When a long enough computation is carried out, the pressure magnitude shows an exponential growth, which is an unrealistic behaviour. In the paper ,we show that we are faced with a numerical instability of the static pressure in closed cavities. A simple processing method using the eigenelement decomposition of an 'ad hoc' matrix suffices to correct the problem without damage to other components of the result. The method is related to a more general method dedicated to instability problems.
机译：本文讨论了声学边界元模型的不稳定行为。该模型基于按时间进行（MOT）算法，使用超奇异导数Green方法。它能够应付打开或关闭的衍射物体。这些物体是刚性的或可以变形的。当进行足够长的计算时，压力大小将呈指数增长，这是不现实的行为。在本文中，我们证明了封闭腔中静压力的数值不稳定。使用'ad hoc'矩阵的特征分解的简单处理方法足以纠正问题，而不会损坏结果的其他组件。该方法与致力于不稳定性问题的更通用的方法有关。

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