Published on:
8 May 2024
Primary Category:
Numerical Analysis
Paper Authors:
Xiaoxu Xu,
Guanqiu Ma,
Guanghui Hu
Proves one incident wave uniquely determines a piecewise linear crack
Contrast sampling method finds rough crack location
Modified factorization method recovers convex hull from one wave
Newton's iteration further refines crack shape
Detecting cracks from limited wave data
This paper proposes methods to detect the location and shape of cracks using limited acoustic wave data from just one wave source. A contrast sampling method initially determines a rough crack location. Then a variant factorization technique recovers the crack's convex hull using one plane wave. Newton's method further refines the shape. Numerical results demonstrate effectively detecting cracks from minimal data.
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