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An iterative MFS approach for the detection of immersed obstacles. (English) Zbl 1244.76082
Summary: An unknown rigid body is immersed in a fluid governed by the Stokes equations in a bounded domain. We consider the inverse problem that consists in determining the location and shape of the solid from boundary measurements on the accessible boundary of the fluid domain. We apply a quasi-Newton method combined with the method of fundamental solutions (MFS) to recover the immersed body in the two-dimensional case.

##### MSC:
 76M25 Other numerical methods (fluid mechanics) (MSC2010) 76D07 Stokes and related (Oseen, etc.) flows 70E99 Dynamics of a rigid body and of multibody systems 65N80 Fundamental solutions, Green’s function methods, etc. for boundary value problems involving PDEs
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