Advances in overlapping-domain framework for wave propagation in heterogeneous and unbounded regions

Simulation of absorbed- and scattered-fields induced by an incident wave impinging on bounded heterogeneous configurations is fundamental for numerous applications. Scalar absorbedand scattered-fields can be modeled by the Helmholtz partial differential equation (PDE) defined inside and exterior to the configuration, respectively. Finite element and boundary element methods (FEM and BEM), respectively, provide efficient tools for simulations of the Helmholtz PDE in the interior (varying wave speed) bounded domain and in its complement (constant wave speed) exterior medium. A novel coupled overlapping FEM-BEM framework was introduced for the interior-exterior Helmholtz model in [2] and for the 2D framework, FEM-BEM numerical analysis was developed in [3]. The main aim of the present work is on the advancement of the framework with numerical analysis for the 3D model.