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Ana Leonor Silvestre (Instituto Superior Técnico)

On the detection of immersed obstacles by boundary measurements

This talk is devoted to the inverse problem of determining the shape and location of a body immersed in a fluid, based on measured quantities on the exterior boundary of the fluid domain. For certain fluid models, we suggest an inverse algorithm that combines Newton method and the method of fundamental solutions for the associated direct problems. Some numerical simulations are presented to illustrate the feasibility of this approach in the two-dimensional case.

This is joint work with Nuno Martins (Faculdade de Ciências e Tecnologia, Lisbon).

© 3º Encontro Ibérico de Matemática :: 2010