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Abstract

The structural acoustics problem is formulated as a hyperbolic system of conservation laws which leads to an abstract Cauchy problem in common Hilbert space settings. The Cauchy problem is approximated by using high-order, multi-stage Taylor-Galerkin methods which provide high-order temporal accuracy and unconditional stability on arbitrary (unstructured) finite element grids. The formulation is extended to problems posed on unbounded domains by introduction of iterative radiation boundary conditions. The proposed approaches are shown to produce very good results for the test cases considered. Mathematics Subject Classification (2000). 35L05, 65M60, 65M99.