The Problem Of Scattering By A Mixture Of Cracks And Obstacles

In this paper, we focuses on a class of the scattering problem of piane waves by containing cracks, We consider the problem in R2. The problem can be described as:We suppose D denote the bounded obstacle with enough smooth boundary, Γ is a crack, The problem can be consider as a mixed boundary value in R2, We suppose (?), My work is to find functions u (?), meet the conditions :and u satisfy condition:uniformly in (?).We research this problem in three steps:The first step we can obt,ain the uniqueness by Rellich’s lemma theory;The second step by using the potential theory we establish a boundary integral system. Then , For the solutions of equations, we can use the Fredholm theory.The third step we study the problem the corresponding inverse problem, that is reconstruction the D and Γ by the far field information, then we use the liner sampling method to give the numerical reconstraction.