Modeling and identification of an arbitrarily shaped scatterer using dynamic XFEM with cubic splines

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A sweeping window method for detection of flaws using an explicit dynamic XFEM and absorbing boundary layers (2016, methodology): “Several optimization algorithms have been employed in the past for such problems including genetic algorithms (GAs) [6–9], the multilevel coordinate search method [13], the artificial bee colony algorithms [10–12], and gradient-based techniques [16, 17].”
Full-waveform inversion in three-dimensional PML-truncated elastic media (2015, methodology): “[18, 19] used an extended finite element method (XFEM) to explicitly parameterize the boundaries of scatterers for twodimensional problems in elastodynamics.”