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Implementation of Higher Order Absorbing Boundary Conditions in Vector Finite Element Methods

It is important to use appropriate mesh truncation schemes and accurate absorbing boundary conditions (ABC) on the truncation surfaces to achieve reliable computational results while solving electromagnetic radiation and scattering problems in unbounded regions with the finite element method (FEM). In this paper, a new family of hierarchical higher order absorbing boundary conditions is derived and a second order ABC is implemented by use of a set of cement variables on the boundary