On solving structural acoustics problems in time-domain (Q1601108)

In the paper, some high-order time-domain methods are presented which have proven to be effective for simulating certain classes of problems in structural acoustics and which may have potential for overcoming some of the shortcomings of the classical frequency-domain approaches. These techniques are built around the following ideas: the structural acoustics problem is formulated as a hyperbolic system of conservation laws and subsequently reformulated as an abstract Cauchy problem in common Hilbert space settings; high-order, multistage Taylor-Galerkin approximations of these equations in the time-domain are constructed which deliver high-order temporal accuracy with unconditional stability, and provide a convenient basis for \(hp\)-adaptive finite element methods for spatial approximations; iterative radiation boundary conditions are introduced for wave propagation problems posed on unbounded domains. Applications to representative model problems reveal that the methods are robust and provide very accurate results for a class of two-dimensional cases.