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Topological derivative for the inverse scattering of elastic waves

Topological derivative for the inverse scattering of elastic waves

To establish an alternative analytical framework for the elasticā€wave imaging of underground cavities, the focus of this study is an extension of the concept of topological derivative, rooted in elastostatics and shape optimization, to threeā€dimensional elastodynamics involving semiā€infinite and infinite solids. The main result of the proposed boundary integral approach ā€¦