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arxiv: 1511.04355 · v1 · pith:66U6PUS6new · submitted 2015-11-13 · 🧮 math.NA

An efficient adaptive frequency sampling scheme for large-scale transient boundary element analysis

classification 🧮 math.NA
keywords samplingfrequenciesadaptiveanalysisboundarycomputationalelementfrequency
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The frequency-domain approach (FDA) to transient analysis of the boundary element method, although is appealing for engineering applications, is computationally expensive. This paper proposes a novel adaptive frequency sampling (AFS) algorithm to reduce the computational time of the FDA by effectively reducing the number Nc of sampling frequencies. The AFS starts with a few initial frequencies and automatically determines the subsequent sampling frequencies. It can reduce Nc by more than 2 times while still preserving good accuracy. In a porous solid model with around 0.3 million unknowns, 4 times reduction of Nc and the total computational time is successfully achieved.

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