An interior inverse scattering problem in elasticity
Yunhui Ou, Fang Zeng
Abstract
We consider an interior inverse scattering problem of reconstructing the shape of an elastic cavity. We prove a reciprocity relation for the scattered elastic field and a uniqueness theorem for the inverse problem. Then we employ the decomposition method to determine the boundary of the cavity and present some convergence results. Numerical examples are provided to show the viability of the method.
Topics & Concepts
MathematicsInverse problemInverse scattering problemUniquenessMathematical analysisElasticity (physics)Uniqueness theorem for Poisson's equationReciprocity (cultural anthropology)InverseConvergence (economics)Boundary value problemScatteringGeometryPhysicsOpticsEconomicsPsychologySocial psychologyThermodynamicsEconomic growthNumerical methods in inverse problemsMicrowave Imaging and Scattering AnalysisComposite Material Mechanics