Coupled Finite and Boundary Element Methods for Vibro-Acoustic Interface Problems

We consider a symmetric coupling of finite and boundary element methods for a vibro-acoustic interface problem. While the time-harmonic vibrating structure is described by a finite element variational problem, we use the symmetric formulation of boundary integral equations to model the acoustic fluid in the unbounded exterior domain. When using the symmetric coupling we obtain a formulation which excludes spurious modes, and which is stable for almost all frequencies. In addition to a direct simulation we also consider the related eigenvalue problem which is nonlinear in the eigenfrequency, and which can be solved by using a contour integral approach. Numerical results are given.

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