A global local finite element method is developed for axisymmetric scattering of a steady, compressive, incident elastic wave in a homogeneous, isotropic host medium by an axisymmetric inclusion. The inclusion may be arbitrary with respect to its geometry and can have inhomogeneous, anisotropic elastic material properties. Examples on spheroidal and finite circular cylindrical inclusions are given. Comparison of current data with available results show good agreement.

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