In this paper, the dynamic response of a piezoelectric transducer in contact with an acoustic media is formulated. This serves as a model problem for an ultrasonic phased array in contact with the human body. These arrays may be used for hyperthermia or ablation surgery; the focus of this paper, however, is the efficient numerical formulation for modeling the array problem. Efficient numerical methods will provide a useful design tool and allow for the investigation of structural-acoustic phenomena. A finite element formulation based on Galerkin and Galerkin Least Squares (GLS) methods is presented. The benefits of the GLS method over the standard Galerkin method are demonstrated through numerical experiments of the dynamic response of a multi-element array. The methods under development can be applied to any fluid structure interaction problem and point strongly to the advantage of GLS methods for mid-and high-frequency applications. The accuracy of approximate versus exact non-reflecting, truncation boundary conditions is discussed.
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