A new method in inverse scattering based on the topological derivative

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Topological derivative for multi‐scale linear elasticity models applied to the synthesis of microstructures (2010, background): “It has proved extremely useful in the treatment of a wide range of problems, including the topology optimization of load-bearing structures [1, 4, 39], inverse analysis [5, 18, 27] and image processing [8, 28, 32], and is currently a subject of great interest in applied mathematics circles [3, 19, 3”
Topological optimization of structures subject to Von Mises stress constraints (2010, methodology): “Thus, the topological derivative has been successfully applied in the context of topology optimization [7, 13, 28], inverse problems [5, 12, 20, 29] and image processing [9, 25, 24, 26].”