Analysis of scattering from 2D penetrable object using iterative FEM with novel mesh truncation

An iterative finite element method is proposed to analyse scattering from a two dimensional penetrable object. Conventionally, to solve this kind of problem, the whole penetrable object is discretised, which is unduly costly if the object contains a large homogeneous region. By introducing a fictitious boundary inside in addition to outside the scatterer, the problem region can be greatly reduced. Also, the typical finite element method is applied with iteratively improved radiation-type boundary conditions. To validate the proposed method, a numerical example is presented