Kohn-Vogelius formulation and high-order topological asymptotic formula for identifying small obstacles in a fluid medium
2020 ◽
Vol 28
(1)
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pp. 35-59
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AbstractThis paper concerns the identification of a small obstacle immersed in a Stokes flow from boundary measurements. The proposed approach is based on the Kohn-Vogelius formulation and the topological sensitivity analysis method. We derive a high order asymptotic formula describing the variation of a Kohn-Vogelius type functional with respect to the insertion of a small obstacle inside the fluid flow domain. The obtained asymptotic formula will serve as very useful tools for developing accurate and robust numerical reconstruction algorithms.
2021 ◽
Vol 19
(6)
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pp. 949-969
2020 ◽
Vol 14
(10)
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pp. 1912-1921
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2021 ◽
Vol 385
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pp. 114009
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2021 ◽
Vol 147
(7)
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