alexa Topological Sensitivity Analysis for the Location of Small Cavities in Stokes Flow
Mathematics

Mathematics

Journal of Applied & Computational Mathematics

Author(s): A Ben Abda

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The moulds' filling process may generate flaws consisting of small gas bubbles trapped inside the material, which weaken the solidity of the casted piece. We consider here the inverse problem of determining these small size flaws' locations from velocities boundary measurements. The fluid flow is described by a simplified model based on the Stokes system. A numerical algorithm based on the topological sensitivity analysis applied to an energy-like misfit functional is worked out to that end.

This article was published in SIAM Journal on Control and Optimization and referenced in Journal of Applied & Computational Mathematics

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