The classical BEM approach for elastodynamics can produce poor results when high gradients are generated by impulses. High gradient areas evolve over time and their locations are unknown a priori, so they usually can not be captured by uniform meshes. In this paper, we propose a novel method which interpolates both spatial and temporal domains. A direct space-time discretization scheme is used to capture the wave fronts accurately and to forestall generation of spurious oscillations there. Some numerical examples are given to demonstrate the power and scope of the method.
Zhou, J. X., Koziara, T., Davies, T. G. (2006). A Fast Space-Time BEM Method for 3D Elastodynamics. CMES-Computer Modeling in Engineering & Sciences, 16(2), 131–140. https://doi.org/10.3970/cmes.2006.016.131
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