An application of the reciprocity gap functional to inverse mixed impedance problems in elasticity

作者：Athanasiadis Christodoulos E; Natroshvili David; Sevroglou Vassilios^*; Stratis Ioannis G

来源：Inverse Problems, 2010, 26(8): 085011.

DOI：10.1088/0266-5611/26/8/085011

In this paper, a mixed impedance scattering problem for partially coated obstacles is studied. We formulate the direct scattering problem for the Navier equation and the mathematical setting for the description of the inverse problem. The scattered field satisfies mixed Dirichlet-impedance boundary conditions on the smooth boundary of the scatterer. A uniqueness theorem for the determination of the partially coated obstacle is proved. A method for the reconstruction of the shape of the obstacle is presented, for which no a priori information of the physical parameters of the scattering obstacle is needed. The inverse problem is treated using ideas from the linear sampling method and by the use of the reciprocity gap functional. Further, a characterization of the surface impedance is established.

• 出版日期2010-8